Hendy, Ahmed S.; Zaky, Mahmoud A.; Doha, Eid H. On a discrete fractional stochastic Grönwall inequality and its application in the numerical analysis of stochastic FDEs involving a martingale. (English) Zbl 07702451 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 531-537 (2023). MSC: 65C30 60G22 60G42 PDFBibTeX XMLCite \textit{A. S. Hendy} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 531--537 (2023; Zbl 07702451) Full Text: DOI
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Lopes, António M. Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches. (English) Zbl 07702447 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 421-435 (2023). MSC: 65D32 65N35 35R11 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 421--435 (2023; Zbl 07702447) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Bayoumi, B. I.; Ezz-Eldien, S. S. Robust spectral treatment for time-fractional delay partial differential equations. (English) Zbl 1524.42054 Comput. Appl. Math. 42, No. 4, Paper No. 159, 20 p. (2023). MSC: 42C10 35C10 65N35 65M70 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., Comput. Appl. Math. 42, No. 4, Paper No. 159, 20 p. (2023; Zbl 1524.42054) Full Text: DOI
Elkot, N. A.; Doha, E. H.; Ameen, I. G.; Hendy, A. S.; Zaky, M. A. A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions. (English) Zbl 07654058 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023). MSC: 65Lxx 65Mxx 34Kxx PDFBibTeX XMLCite \textit{N. A. Elkot} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107017, 14 p. (2023; Zbl 07654058) Full Text: DOI
Abo-Gabal, Howayda; Zaky, Mahmoud A.; Doha, Eid H. Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions. (English) Zbl 1500.65080 Appl. Numer. Math. 182, 214-234 (2022). MSC: 65M70 65D32 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. Abo-Gabal} et al., Appl. Numer. Math. 182, 214--234 (2022; Zbl 1500.65080) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Ezz-Eldien, S. S. Galerkin operational approach for multi-dimensions fractional differential equations. (English) Zbl 07567362 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106608, 21 p. (2022). MSC: 65-XX 33C45 34A08 65L20 65L05 65L10 65N12 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106608, 21 p. (2022; Zbl 07567362) Full Text: DOI
Zaky, Mahmoud A.; Abo-Gabal, Howayda; Hafez, Ramy M.; Doha, Eid H. Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. (English) Zbl 1496.42037 Numer. Algorithms 89, No. 4, 1567-1601 (2022). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 42C05 33C45 94A11 65D30 34B24 46E35 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Numer. Algorithms 89, No. 4, 1567--1601 (2022; Zbl 1496.42037) Full Text: DOI
Elkot, Nermeen A.; Zaky, Mahmoud A.; Doha, Eid H.; Ameen, Ibrahem G. On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra-Fredholm integral equations. (English) Zbl 1521.65144 Commun. Theor. Phys. 73, No. 2, Article ID 025002, 12 p. (2021). MSC: 65R20 45D05 45B05 45J05 PDFBibTeX XMLCite \textit{N. A. Elkot} et al., Commun. Theor. Phys. 73, No. 2, Article ID 025002, 12 p. (2021; Zbl 1521.65144) Full Text: DOI
Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hendy, Ahmed S.; Doha, Eid H. Computational aspects of fractional Romanovski-Bessel functions. (English) Zbl 1476.33005 Comput. Appl. Math. 40, No. 4, Paper No. 134, 16 p. (2021). MSC: 33C45 65L60 41Axx 94A11 PDFBibTeX XMLCite \textit{H. Abo-Gabal} et al., Comput. Appl. Math. 40, No. 4, Paper No. 134, 16 p. (2021; Zbl 1476.33005) Full Text: DOI
Ameen, Ibrahem G.; Zaky, Mahmoud A.; Doha, Eid H. Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative. (English) Zbl 1467.65075 J. Comput. Appl. Math. 392, Article ID 113468, 22 p. (2021). MSC: 65L60 34A08 26A33 PDFBibTeX XMLCite \textit{I. G. Ameen} et al., J. Comput. Appl. Math. 392, Article ID 113468, 22 p. (2021; Zbl 1467.65075) Full Text: DOI
Zaky, Mahmoud A.; Ameen, Ibrahem G.; Elkot, Nermeen A.; Doha, Eid H. A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis. (English) Zbl 1459.65250 Appl. Numer. Math. 161, 27-45 (2021). MSC: 65R20 45D05 45B05 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Appl. Numer. Math. 161, 27--45 (2021; Zbl 1459.65250) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Ezz-Eldien, S. S.; Youssef, I. K. Spectral Galerkin schemes for a class of multi-order fractional pantograph equations. (English) Zbl 1456.65129 J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021). MSC: 65M70 65N30 65M12 65M15 35C10 42C10 35R11 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., J. Comput. Appl. Math. 384, Article ID 113157, 21 p. (2021; Zbl 1456.65129) Full Text: DOI
Abo-Gabal, Howayda; Zaky, Mahmoud A.; Hafez, Ramy M.; Doha, Eid H. On Romanovski-Jacobi polynomials and their related approximation results. (English) Zbl 07777682 Numer. Methods Partial Differ. Equations 36, No. 6, 1982-2017 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Abo-Gabal} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1982--2017 (2020; Zbl 07777682) Full Text: DOI
Ezz-Eldien, S. S.; Doha, E. H.; Wang, Y.; Cai, W. A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 1458.65131 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105445, 15 p. (2020). Reviewer: Hendrik Ranocha (Münster) MSC: 65M70 65M12 35R11 33C45 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105445, 15 p. (2020; Zbl 1458.65131) Full Text: DOI
Hammad, Magda; Hafez, Ramy M.; Youssri, Youssri H.; Doha, Eid H. Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains. (English) Zbl 1446.65126 Appl. Numer. Math. 157, 88-109 (2020). MSC: 65M70 65M60 65D05 35L02 33C45 PDFBibTeX XMLCite \textit{M. Hammad} et al., Appl. Numer. Math. 157, 88--109 (2020; Zbl 1446.65126) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. Shifted Jacobi-Gauss-collocation with convergence analysis for fractional integro-differential equations. (English) Zbl 1464.65078 Commun. Nonlinear Sci. Numer. Simul. 72, 342-359 (2019). MSC: 65L60 34K37 45J05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 72, 342--359 (2019; Zbl 1464.65078) Full Text: DOI
Doha, E. H.; Hafez, R. M.; Youssri, Y. H. Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations. (English) Zbl 1442.65290 Comput. Math. Appl. 78, No. 3, 889-904 (2019). MSC: 65M70 65M60 35L50 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Comput. Math. Appl. 78, No. 3, 889--904 (2019; Zbl 1442.65290) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. (English) Zbl 1489.65140 Int. J. Comput. Methods 16, No. 8, Article ID 1850118, 19 p. (2019). MSC: 65M60 33C47 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Int. J. Comput. Methods 16, No. 8, Article ID 1850118, 19 p. (2019; Zbl 1489.65140) Full Text: DOI
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations. (English) Zbl 1480.65373 Nonlinear Anal., Model. Control 24, No. 3, 332-352 (2019). MSC: 65R20 65L60 45J05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 24, No. 3, 332--352 (2019; Zbl 1480.65373) Full Text: DOI
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Baleanu, Dumitru Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations. (English) Zbl 1437.65057 Nonlinear Anal., Model. Control 24, No. 2, 176-188 (2019). MSC: 65L03 65D25 34A08 26A33 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 24, No. 2, 176--188 (2019; Zbl 1437.65057) Full Text: DOI
Alsuyuti, Muhammad M.; Doha, Eid H.; Ezz-Eldien, Samer S.; Bayoumi, Bayoumi I.; Baleanu, Dumitru Modified Galerkin algorithm for solving multitype fractional differential equations. (English) Zbl 1416.65375 Math. Methods Appl. Sci. 42, No. 5, 1389-1412 (2019). MSC: 65M70 65N35 35C10 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., Math. Methods Appl. Sci. 42, No. 5, 1389--1412 (2019; Zbl 1416.65375) Full Text: DOI
Ezz-Eldien, S. S.; Doha, E. H. Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. (English) Zbl 1447.65014 Numer. Algorithms 81, No. 1, 57-77 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L60 33C45 45J05 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} and \textit{E. H. Doha}, Numer. Algorithms 81, No. 1, 57--77 (2019; Zbl 1447.65014) Full Text: DOI
Doha, E. H.; Youssri, Y. H.; Zaky, M. A. Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials. (English) Zbl 1433.65124 Bull. Iran. Math. Soc. 45, No. 2, 527-555 (2019). MSC: 65L05 65L10 42C10 33C45 42C05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Bull. Iran. Math. Soc. 45, No. 2, 527--555 (2019; Zbl 1433.65124) Full Text: DOI
Zaky, Mahmoud A.; Doha, Eid H.; Taha, Taha M.; Baleanu, Dumitru New recursive approximations for variable-order fractional operators with applications. (English) Zbl 1488.42118 Math. Model. Anal. 23, No. 2, 227-239 (2018). MSC: 42C05 65D99 35R11 65N35 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Math. Model. Anal. 23, No. 2, 227--239 (2018; Zbl 1488.42118) Full Text: DOI arXiv
Bassuony, Mahmoud A.; Abd-Elhameed, Waleed Mohamed; Doha, Eid H.; Youssri, Youssri Hassan A Legendre-Laguerre-Galerkin method for uniform Euler-Bernoulli beam equation. (English) Zbl 1468.65160 East Asian J. Appl. Math. 8, No. 2, 280-295 (2018). MSC: 65M70 65M60 33C45 42C10 74H45 74K10 35Q74 PDFBibTeX XMLCite \textit{M. A. Bassuony} et al., East Asian J. Appl. Math. 8, No. 2, 280--295 (2018; Zbl 1468.65160) Full Text: DOI Link
Ezz-Eldien, S. S.; Doha, E. H.; Bhrawy, A. H.; El-Kalaawy, A. A.; Machado, J. A. T. A new operational approach for solving fractional variational problems depending on indefinite integrals. (English) Zbl 07263284 Commun. Nonlinear Sci. Numer. Simul. 57, 246-263 (2018). MSC: 65-XX 65M70 33C45 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} et al., Commun. Nonlinear Sci. Numer. Simul. 57, 246--263 (2018; Zbl 07263284) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Elkot, N. A.; Youssri, Y. H. Numerical spectral Legendre approach for solving space-time fractional advection-dispersion problems. (English) Zbl 1434.65202 J. Egypt. Math. Soc. 26, 167-183 (2018). MSC: 65M70 34A08 33C45 35R11 26A33 42C10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 26, 167--183 (2018; Zbl 1434.65202) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Baleanu, D. Spectral technique for solving variable-order fractional Volterra integro-differential equations. (English) Zbl 1407.65211 Numer. Methods Partial Differ. Equations 34, No. 5, 1659-1677 (2018). MSC: 65M70 35R11 45D05 45J05 65D32 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Numer. Methods Partial Differ. Equations 34, No. 5, 1659--1677 (2018; Zbl 1407.65211) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations. (English) Zbl 1413.65382 Comput. Appl. Math. 37, No. 5, 6212-6229 (2018). MSC: 65M70 65N35 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Comput. Appl. Math. 37, No. 5, 6212--6229 (2018; Zbl 1413.65382) Full Text: DOI
Doha, E. H.; Abdelkawy, M. A.; Amin, A. Z. M.; Lopes, António M. On spectral methods for solving variable-order fractional integro-differential equations. (English) Zbl 1404.65192 Comput. Appl. Math. 37, No. 3, 3937-3950 (2018). MSC: 65M70 65N35 26A33 35R11 33C45 35R09 45K05 65D32 65D05 65H10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Comput. Appl. Math. 37, No. 3, 3937--3950 (2018; Zbl 1404.65192) Full Text: DOI
Zaky, M. A.; Doha, E. H.; Tenreiro Machado, J. A. A spectral framework for fractional variational problems based on fractional Jacobi functions. (English) Zbl 06902342 Appl. Numer. Math. 132, 51-72 (2018). MSC: 65-XX PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Appl. Numer. Math. 132, 51--72 (2018; Zbl 06902342) Full Text: DOI
Doha, Eid H.; Abd-Elhameed, Waleed M.; Elkot, Nermeen A.; Youssri, Youssri H. Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems. (English) Zbl 1444.65058 Adv. Difference Equ. 2017, Paper No. 284, 23 p. (2017). MSC: 65M70 65M12 65M06 35R11 26A33 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Adv. Difference Equ. 2017, Paper No. 284, 23 p. (2017; Zbl 1444.65058) Full Text: DOI
Abdelkawy, Mohamed A.; Doha, Eid H.; Bhrawy, Ali H.; Amin, Ahmed Z. A. Efficient pseudospectral scheme for 3D integral equations. (English) Zbl 1413.65475 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 18, No. 3, 199-206 (2017). MSC: 65R20 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 18, No. 3, 199--206 (2017; Zbl 1413.65475)
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M. Numerical algorithm for solving multi-pantograph delay equations on the half-line using Jacobi rational functions with convergence analysis. (English) Zbl 1371.65063 Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297-310 (2017). MSC: 65L03 34K28 65L60 65L20 65L05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 2, 297--310 (2017; Zbl 1371.65063) Full Text: DOI
Bhrawy, A. H.; Ezz-Eldien, S. S.; Doha, E. H.; Abdelkawy, M. A.; Baleanu, D. Solving fractional optimal control problems within a Chebyshev-Legendre operational technique. (English) Zbl 1370.49027 Int. J. Control 90, No. 6, 1230-1244 (2017). MSC: 49M30 34A08 65M70 33C45 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Int. J. Control 90, No. 6, 1230--1244 (2017; Zbl 1370.49027) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for solving nonlinear reaction-diffusion equations subject to Dirichlet boundary conditions. (English) Zbl 1446.65124 Appl. Math. Modelling 40, No. 3, 1703-1716 (2016). MSC: 65M70 35K20 35K57 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 40, No. 3, 1703--1716 (2016; Zbl 1446.65124) Full Text: DOI
Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H.; Bassuony, M. A. New Tchebyshev-Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations. (English) Zbl 1355.65129 Numer. Methods Partial Differ. Equations 32, No. 6, 1553-1571 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M70 35L20 35L70 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Numer. Methods Partial Differ. Equations 32, No. 6, 1553--1571 (2016; Zbl 1355.65129) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems. (English) Zbl 1337.65131 J. Egypt. Math. Soc. 24, No. 2, 319-327 (2016). MSC: 65M70 65N35 35Q53 65T60 65M12 65N12 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 24, No. 2, 319--327 (2016; Zbl 1337.65131) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Saker, M. A.; Baleanu, D. Modified Jacobi-Bernstein basis transformation and its application to multi-degree reduction of Bézier curves. (English) Zbl 1382.65041 J. Comput. Appl. Math. 302, 369-384 (2016). MSC: 65D17 41A10 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., J. Comput. Appl. Math. 302, 369--384 (2016; Zbl 1382.65041) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Ezz-Eldien, S. S.; Abdelkawy, M. A. A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations. (English) Zbl 1335.65083 Calcolo 53, No. 1, 1-17 (2016). MSC: 65M70 35Q53 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Calcolo 53, No. 1, 1--17 (2016; Zbl 1335.65083) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Abdelkawy, M. A.; Hafez, R. M. An efficient collocation algorithm for multidimensional wave type equations with nonlocal conservation conditions. (English) Zbl 1443.65237 Appl. Math. Modelling 39, No. 18, 5616-5635 (2015). MSC: 65M70 35L20 65M12 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Appl. Math. Modelling 39, No. 18, 5616--5635 (2015; Zbl 1443.65237) Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H.; Doha, E. H. A novel operational matrix method based on shifted Legendre polynomials for solving second-order boundary value problems involving singular, singularly perturbed and Bratu-type equations. (English) Zbl 1407.65080 Math. Sci., Springer 9, No. 2, 93-102 (2015). MSC: 65L60 34B16 34E15 42C10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Math. Sci., Springer 9, No. 2, 93--102 (2015; Zbl 1407.65080) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S. A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. (English) Zbl 1349.65504 J. Comput. Phys. 293, 142-156 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., J. Comput. Phys. 293, 142--156 (2015; Zbl 1349.65504) Full Text: DOI
Doha, Eid; Bhrawy, Ali; Baleanu, Dumitru; Ezz-Eldien, Samer; Hafez, Ramy An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems. (English) Zbl 1423.49018 Adv. Difference Equ. 2015, Paper No. 15, 17 p. (2015). MSC: 49K15 49M25 30C45 65L60 PDFBibTeX XMLCite \textit{E. Doha} et al., Adv. Difference Equ. 2015, Paper No. 15, 17 p. (2015; Zbl 1423.49018) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Hafez, R. M. Numerical solution of initial-boundary system of nonlinear hyperbolic equations. (English) Zbl 1347.65157 Indian J. Pure Appl. Math. 46, No. 5, 647-668 (2015). MSC: 65M70 35L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Indian J. Pure Appl. Math. 46, No. 5, 647--668 (2015; Zbl 1347.65157) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. New connection formulae between ultraspherical polynomials and Chebyshev polynomials of third and fourth kinds. (English) Zbl 1333.42048 Adv. Stud. Contemp. Math., Kyungshang 25, No. 4, 511-524 (2015). MSC: 42C10 33C55 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Adv. Stud. Contemp. Math., Kyungshang 25, No. 4, 511--524 (2015; Zbl 1333.42048)
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Hafez, R. M. A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions. (English) Zbl 1335.65065 Math. Methods Appl. Sci. 38, No. 14, 3022-3032 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L50 34K28 34K06 65L03 65L05 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Math. Methods Appl. Sci. 38, No. 14, 3022--3032 (2015; Zbl 1335.65065) Full Text: DOI
Youssri, Y. H.; Elhameed, W. M. Abd-; Doha, E. H. Accurate spectral solutions of first- and second-order initial value problems by the ultraspherical wavelets-Gauss collocation method. (English) Zbl 1330.65125 Appl. Appl. Math. 10, No. 2, 835-851 (2015). MSC: 65L60 65T60 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., Appl. Appl. Math. 10, No. 2, 835--851 (2015; Zbl 1330.65125) Full Text: Link
Doha, E. H.; Abd-Elhameed, W. M.; Alsuyuti, M. M. On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems. (English) Zbl 1327.65196 J. Egypt. Math. Soc. 23, No. 2, 397-405 (2015). MSC: 65M70 65N35 35C10 42C10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 23, No. 2, 397--405 (2015; Zbl 1327.65196) Full Text: DOI
Abd-Elhameed, Waleed M.; Youssri, Youssri; Doha, Eid H. New solutions for singular Lane-Emden equations arising in astrophysics based on shifted ultraspherical operational matrices of derivatives. (English) Zbl 1412.65160 Comput. Methods Differ. Equ. 2, No. 3, 171-185 (2014). MSC: 65M70 65N35 35C10 42C10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Comput. Methods Differ. Equ. 2, No. 3, 171--185 (2014; Zbl 1412.65160) Full Text: Link
Doha, E. H.; Baleanu, D.; Bhrawy, A. H.; Hafez, R. M. A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions. (English) Zbl 1474.65251 Abstr. Appl. Anal. 2014, Article ID 816473, 9 p. (2014). MSC: 65L60 34K07 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Abstr. Appl. Anal. 2014, Article ID 816473, 9 p. (2014; Zbl 1474.65251) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Abdelkawy, M. A.; Van Gorder, Robert A. Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations. (English) Zbl 1349.65511 J. Comput. Phys. 261, 244-255 (2014). MSC: 65M70 35Q55 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Comput. Phys. 261, 244--255 (2014; Zbl 1349.65511) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Baleanu, Dumitru; Ezz-Eldien, Samer S. The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation. (English) Zbl 1343.65126 Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Adv. Difference Equ. 2014, Paper No. 231, 14 p. (2014; Zbl 1343.65126) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients. (English) Zbl 1329.42027 J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 6, 296-308 (2014) and Izv. Nats. Akad. Nauk Armen., Mat. 49, No. 6, 66–82 (2014). MSC: 42C10 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, J. Contemp. Math. Anal., Armen. Acad. Sci. 49, No. 6, 296--308 (2014; Zbl 1329.42027) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M.; van Gorder, Robert A. A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval. (English) Zbl 1308.85006 Comput. Appl. Math. 33, No. 3, 607-619 (2014). MSC: 85A15 34B16 33C45 34A25 65N35 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Comput. Appl. Math. 33, No. 3, 607--619 (2014; Zbl 1308.85006) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds. (English) Zbl 1295.42012 Bull. Malays. Math. Sci. Soc. (2) 37, No. 2, 383-398 (2014). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C10 33C45 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Bull. Malays. Math. Sci. Soc. (2) 37, No. 2, 383--398 (2014; Zbl 1295.42012) Full Text: Link
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. (English) Zbl 1302.65175 Appl. Numer. Math. 77, 43-54 (2014). MSC: 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Numer. Math. 77, 43--54 (2014; Zbl 1302.65175) Full Text: DOI
Doha, E. H.; Baleanu, D.; Bhrawy, A. H.; Abdelkawy, M. A. A Jacobi collocation method for solving nonlinear Burgers-type equations. (English) Zbl 1470.65174 Abstr. Appl. Anal. 2013, Article ID 760542, 12 p. (2013). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Abstr. Appl. Anal. 2013, Article ID 760542, 12 p. (2013; Zbl 1470.65174) Full Text: DOI
Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. New spectral second kind Chebyshev wavelets algorithm for solving linear and nonlinear second-order differential equations involving singular and Bratu type equations. (English) Zbl 1470.65140 Abstr. Appl. Anal. 2013, Article ID 715756, 9 p. (2013). MSC: 65L60 65L10 34A45 65T60 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Abstr. Appl. Anal. 2013, Article ID 715756, 9 p. (2013; Zbl 1470.65140) Full Text: DOI
Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds. (English) Zbl 1291.65238 Abstr. Appl. Anal. 2013, Article ID 542839, 9 p. (2013). MSC: 65L60 65L10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Abstr. Appl. Anal. 2013, Article ID 542839, 9 p. (2013; Zbl 1291.65238) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Ezz-Eldien, S. S. On shifted Jacobi spectral approximations for solving fractional differential equations. (English) Zbl 1291.65207 Appl. Math. Comput. 219, No. 15, 8042-8056 (2013). MSC: 65L05 34A08 34A30 34A34 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Comput. 219, No. 15, 8042--8056 (2013; Zbl 1291.65207) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Bassuony, M. A. New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods. (English) Zbl 1286.65093 J. Comput. Phys. 236, 563-579 (2013). MSC: 65L50 33C45 41A10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Comput. Phys. 236, 563--579 (2013; Zbl 1286.65093) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. Efficient Jacobi-Gauss collocation method for solving initial value problems of Bratu type. (English) Zbl 1299.65244 Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480-1480 (2013); translation in Comput. Math. Math. Phys. 53, No. 9, 1292-1302 (2013). MSC: 65M70 35K55 80A25 80A20 80M22 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Zh. Vychisl. Mat. Mat. Fiz. 53, No. 9, 1480--1480 (2013; Zbl 1299.65244); translation in Comput. Math. Math. Phys. 53, No. 9, 1292--1302 (2013) Full Text: DOI
Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials. (English) Zbl 1274.65222 Quaest. Math. 36, No. 1, 15-38 (2013). MSC: 65L60 35C10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Quaest. Math. 36, No. 1, 15--38 (2013; Zbl 1274.65222) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials. (English) Zbl 1281.65108 Collect. Math. 64, No. 3, 373-394 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65L60 65L10 34B05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Collect. Math. 64, No. 3, 373--394 (2013; Zbl 1281.65108) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. Nonsymmetric Generalized Jacobi Petrov-Galerkin Algorithms for Third- and Fifth-Order two Point Boundary Value Problems. arXiv:1307.3718 Preprint, arXiv:1307.3718 [math.NA] (2013). MSC: 65M70 65N35 35C10 42C10 BibTeX Cite \textit{E. H. Doha} et al., ``Nonsymmetric Generalized Jacobi Petrov-Galerkin Algorithms for Third- and Fifth-Order two Point Boundary Value Problems'', Preprint, arXiv:1307.3718 [math.NA] (2013) Full Text: DOI arXiv OA License
Doha, E. H.; Abd-Elhameed, W. M.; Ahmed, H. M. The coefficients of differentiated expansions of double and triple Jacobi polynomials. (English) Zbl 1302.42042 Bull. Iran. Math. Soc. 38, No. 3, 739-765 (2012). Reviewer: María-José Cantero (Zaragoza) MSC: 42C10 33C45 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Bull. Iran. Math. Soc. 38, No. 3, 739--765 (2012; Zbl 1302.42042)
Doha, Eid H.; Bhrawy, Ali H. An efficient direct solver for multidimensional elliptic Robin boundary value problems using a Legendre spectral-Galerkin method. (English) Zbl 1252.65194 Comput. Math. Appl. 64, No. 4, 558-571 (2012). MSC: 65N35 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Comput. Math. Appl. 64, No. 4, 558--571 (2012; Zbl 1252.65194) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802-3810 (2012). MSC: 65L10 34B05 34B10 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI
Doha, Eid H.; Abd-Elhameed, Waleed M. Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method. (English) Zbl 1246.65121 Abstr. Appl. Anal. 2012, Article ID 749370, 19 p. (2012). MSC: 65L10 34B05 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Abstr. Appl. Anal. 2012, Article ID 749370, 19 p. (2012; Zbl 1246.65121) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials. (English) Zbl 1242.65148 Appl. Math. Comput. 218, No. 15, 7727-7740 (2012). MSC: 65L60 34B05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Comput. 218, No. 15, 7727--7740 (2012; Zbl 1242.65148) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S. A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order. (English) Zbl 1231.65126 Comput. Math. Appl. 62, No. 5, 2364-2373 (2011). MSC: 65L60 34A08 45J05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Comput. Math. Appl. 62, No. 5, 2364--2373 (2011; Zbl 1231.65126) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Ezz-Eldien, S. S. Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations. (English) Zbl 1228.65126 Appl. Math. Modelling 35, No. 12, 5662-5672 (2011). MSC: 65L60 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Modelling 35, No. 12, 5662--5672 (2011; Zbl 1228.65126) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations. (English) Zbl 1219.65077 Math. Comput. Modelling 53, No. 9-10, 1820-1832 (2011). MSC: 65L60 33C45 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Math. Comput. Modelling 53, No. 9--10, 1820--1832 (2011; Zbl 1219.65077) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. A Jacobi dual-Petrov-Galerkin method for solving some odd-order ordinary differential equations. (English) Zbl 1216.65086 Abstr. Appl. Anal. 2011, Article ID 947230, 21 p. (2011). MSC: 65L05 34A30 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Abstr. Appl. Anal. 2011, Article ID 947230, 21 p. (2011; Zbl 1216.65086) Full Text: DOI EuDML
Doha, E. H.; Bhrawy, A. H.; Saker, M. A. Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations. (English) Zbl 1236.65091 Appl. Math. Lett. 24, No. 4, 559-565 (2011). Reviewer: M. Plum (Karlsruhe) MSC: 65L10 34B05 65L60 65D30 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Lett. 24, No. 4, 559--565 (2011; Zbl 1236.65091) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations. (English) Zbl 1205.65224 Appl. Math. Modelling 33, No. 4, 1982-1996 (2009). MSC: 65L60 65N30 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Modelling 33, No. 4, 1982--1996 (2009; Zbl 1205.65224) Full Text: DOI
Doha, Eid H.; Rihan, Fathalla A.; Hassan, Mohamed I.; Kamel, Noha M. Mono-implicit Runge-Kutta method for delay differential equations. (English) Zbl 1185.65124 J. Egypt. Math. Soc. 17, No. 2, 213-232 (2009). MSC: 65L06 34K28 65L20 65L05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 17, No. 2, 213--232 (2009; Zbl 1185.65124)
Rihan, F. A.; Doha, E. H.; Hassan, M. I.; Kamel, N. M. Numerical treatments for Volterra delay integro-differential equations. (English) Zbl 1184.65122 Comput. Methods Appl. Math. 9, No. 3, 292-308 (2009). MSC: 65R20 45G10 45J05 PDFBibTeX XMLCite \textit{F. A. Rihan} et al., Comput. Methods Appl. Math. 9, No. 3, 292--308 (2009; Zbl 1184.65122) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. Accurate spectral solutions for parabolic and elliptic partial differential equations by the Jacobi Tau method. (English) Zbl 1183.65125 J. Egypt. Math. Soc. 17, No. 1, 35-63 (2009). MSC: 65M70 35K05 65N35 35J05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, J. Egypt. Math. Soc. 17, No. 1, 35--63 (2009; Zbl 1183.65125)
Doha, E. H.; Ahmed, H. M.; El-Soubhy, S. I. Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals. (English) Zbl 1169.42314 Integral Transforms Spec. Funct. 20, No. 7-8, 491-503 (2009). MSC: 42C10 65L50 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Integral Transforms Spec. Funct. 20, No. 7--8, 491--503 (2009; Zbl 1169.42314) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations. (English) Zbl 1169.65326 Math. Comput. Simul. 79, No. 11, 3221-3242 (2009). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Math. Comput. Simul. 79, No. 11, 3221--3242 (2009; Zbl 1169.65326) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H. A Jacobi spectral Galerkin method for the integrated forms of fourth-order elliptic differential equations. (English) Zbl 1170.65099 Numer. Methods Partial Differ. Equations 25, No. 3, 712-739 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N35 35J40 65F35 65Y20 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Numer. Methods Partial Differ. Equations 25, No. 3, 712--739 (2009; Zbl 1170.65099) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Abd-Elhameed, W. M. Jacobi spectral Galerkin method for elliptic Neumann problems. (English) Zbl 1169.65111 Numer. Algorithms 50, No. 1, 67-91 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N22 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Numer. Algorithms 50, No. 1, 67--91 (2009; Zbl 1169.65111) Full Text: DOI
Doha, Eid H. Efficient Jacobi Galerkin methods for second- and fourth-order elliptic problems. (English) Zbl 1169.65345 J. Egypt. Math. Soc. 16, No. 2, 161-213 (2008). MSC: 65N35 35J05 35J40 65F10 65F35 PDFBibTeX XMLCite \textit{E. H. Doha}, J. Egypt. Math. Soc. 16, No. 2, 161--213 (2008; Zbl 1169.65345)
Doha, Eid H.; Bhrawy, Ali H. Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. (English) Zbl 1152.65112 Appl. Numer. Math. 58, No. 8, 1224-1244 (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65F05 35J05 35J40 65N30 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Appl. Numer. Math. 58, No. 8, 1224--1244 (2008; Zbl 1152.65112) Full Text: DOI
Doha, E. H.; Bhrawy, A. H. Efficient spectral-Galerkin algorithms for direct solution of the integrated forms of second-order equations using ultraspherical polynomials. (English) Zbl 1138.65104 ANZIAM J. 48, No. 3, 361-386 (2007). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, ANZIAM J. 48, No. 3, 361--386 (2007; Zbl 1138.65104) Full Text: DOI
Doha, E. H.; Ahmed, H. M. Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials. (English) Zbl 1104.33005 Integral Transforms Spec. Funct. 17, No. 11, 785-801 (2006). MSC: 33C45 65Q05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{H. M. Ahmed}, Integral Transforms Spec. Funct. 17, No. 11, 785--801 (2006; Zbl 1104.33005) Full Text: DOI
Doha, E. H.; Bhrawy, A. H. Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. (English) Zbl 1103.65119 Numer. Algorithms 42, No. 2, 137-164 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65F05 35J05 65F35 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Numer. Algorithms 42, No. 2, 137--164 (2006; Zbl 1103.65119) Full Text: DOI
Doha, E. H.; Ahmed, H. M. Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials. (English) Zbl 1098.33005 Integral Transforms Spec. Funct. 17, No. 5, 329-353 (2006). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 65Q05 33C47 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{H. M. Ahmed}, Integral Transforms Spec. Funct. 17, No. 5, 329--353 (2006; Zbl 1098.33005) Full Text: DOI
Doha, E. H.; Ahmed, H. M. On the coefficients of integrated expansions of Bessel polynomials. (English) Zbl 1076.42021 J. Comput. Appl. Math. 187, No. 1, 58-71 (2006). MSC: 42C10 33C45 65L50 65L10 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{H. M. Ahmed}, J. Comput. Appl. Math. 187, No. 1, 58--71 (2006; Zbl 1076.42021) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M. Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method. (English) Zbl 1071.65136 J. Comput. Appl. Math. 181, No. 1, 24-45 (2005). MSC: 65M70 65N35 35C10 42C10 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, J. Comput. Appl. Math. 181, No. 1, 24--45 (2005; Zbl 1071.65136) Full Text: DOI
Doha, E. H. On the connection coefficients and recurrence relations arising from expansions in series of Hermite polynomials. (English) Zbl 1040.42020 Integral Transforms Spec. Funct. 15, No. 1, 13-29 (2004). MSC: 42C10 33C45 65L05 65L10 PDFBibTeX XMLCite \textit{E. H. Doha}, Integral Transforms Spec. Funct. 15, No. 1, 13--29 (2004; Zbl 1040.42020) Full Text: DOI
Doha, Eid H.; Abd-Elhameed, Waleed M. Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials. (English) Zbl 1020.65088 SIAM J. Sci. Comput. 24, No. 2, 548-571 (2002). Reviewer: K.B.Schneider (Marseille) MSC: 65N30 65N22 35J25 35J05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, SIAM J. Sci. Comput. 24, No. 2, 548--571 (2002; Zbl 1020.65088) Full Text: DOI
Doha, E. H. On the coefficients of differentiated expansions and derivatives of Jacobi polynomials. (English) Zbl 0997.33004 J. Phys. A, Math. Gen. 35, No. 15, 3467-3478 (2002). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C45 42C10 65L60 PDFBibTeX XMLCite \textit{E. H. Doha}, J. Phys. A, Math. Gen. 35, No. 15, 3467--3478 (2002; Zbl 0997.33004) Full Text: DOI
Doha, E. H.; Al-Kholi, F. M. R. An efficient double Legendre spectral method for parabolic and elliptic partial differential equations. (English) Zbl 1004.65101 Int. J. Comput. Math. 78, No. 3, 413-432 (2001). MSC: 65M70 65N35 35J05 35K05 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{F. M. R. Al-Kholi}, Int. J. Comput. Math. 78, No. 3, 413--432 (2001; Zbl 1004.65101) Full Text: DOI
Doha, E. H.; Helal, M. A. An accurate double Chebyshev spectral approximation for parabolic partial differential equations. (English) Zbl 0899.65060 J. Egypt. Math. Soc. 5, No. 1, 83-101 (1997). Reviewer: M.Lénárd (Safat) MSC: 65M70 35K15 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{M. A. Helal}, J. Egypt. Math. Soc. 5, No. 1, 83--101 (1997; Zbl 0899.65060)
Doha, E. H.; El-Soubhy, S. I. On the Legendre coefficients of the moments of the general order derivative of an infinitely differentiable function. (English) Zbl 0853.33010 Int. J. Comput. Math. 56, No. 1-2, 107-122 (1995). Reviewer: A.Lukashov (Saratov) MSC: 33C45 42C10 34A45 65L99 PDFBibTeX XMLCite \textit{E. H. Doha} and \textit{S. I. El-Soubhy}, Int. J. Comput. Math. 56, No. 1--2, 107--122 (1995; Zbl 0853.33010) Full Text: DOI
Doha, E. H. On the coefficients of differentiated expansions of double and triple Legendre polynomials. (English) Zbl 0891.65119 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 15, 23-35 (1995). Reviewer: D.Braess (Bochum) MSC: 65N35 35J05 65N12 PDFBibTeX XMLCite \textit{E. H. Doha}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 15, 23--35 (1995; Zbl 0891.65119)
Doha, E. H. The first and second kind Chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function. (English) Zbl 0828.65098 Int. J. Comput. Math. 51, No. 1-2, 21-35 (1994). MSC: 65L10 65L60 34B05 PDFBibTeX XMLCite \textit{E. H. Doha}, Int. J. Comput. Math. 51, No. 1--2, 21--35 (1994; Zbl 0828.65098) Full Text: DOI