Li, Yung-Ta; Tsai, Ping-Hsuan; Teng, Chun-Hao From stepwise integrations and low-rank updates to a pseudospectral solution operator matrix for the Helmholtz operator \(\frac{d}{dx} a(x) \frac{d}{dx} + c(x)\). (English) Zbl 07408203 Taiwanese J. Math. 25, No. 1, 125-154 (2021). MSC: 74S25 65N12 65F05 PDF BibTeX XML Cite \textit{Y.-T. Li} et al., Taiwanese J. Math. 25, No. 1, 125--154 (2021; Zbl 07408203) Full Text: DOI OpenURL
Al-Shomrani, M. M.; Abdelkawy, M. A. Numerical simulation for fractional-order differential system of a glioblastoma multiforme and immune system. (English) Zbl 07507482 Adv. Difference Equ. 2020, Paper No. 516, 14 p. (2020). MSC: 65M70 41A55 26A33 PDF BibTeX XML Cite \textit{M. M. Al-Shomrani} and \textit{M. A. Abdelkawy}, Adv. Difference Equ. 2020, Paper No. 516, 14 p. (2020; Zbl 07507482) Full Text: DOI OpenURL
Bonyadi, Samira; Mahmoudi, Yaghoub; Lakestani, Mehrdad; Jahangiri Rad, Mohammad A tau method based on Jacobi operational matrix for solving fractional telegraph equation with Riesz-space derivative. (English) Zbl 07394214 Comput. Appl. Math. 39, No. 4, Paper No. 309, 26 p. (2020). MSC: 65Mxx 35Rxx PDF BibTeX XML Cite \textit{S. Bonyadi} et al., Comput. Appl. Math. 39, No. 4, Paper No. 309, 26 p. (2020; Zbl 07394214) Full Text: DOI OpenURL
Lin, Po-Yu; Li, Yung-Ta; Teng, Chun-Hao Multidomain pseudospectral integration preconditioning matrices for the advection and the diffusion operators. (English) Zbl 1471.65093 Appl. Numer. Math. 157, 505-521 (2020). MSC: 65L60 65F08 65F10 PDF BibTeX XML Cite \textit{P.-Y. Lin} et al., Appl. Numer. Math. 157, 505--521 (2020; Zbl 1471.65093) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{M. Hammad} et al., Appl. Numer. Math. 157, 88--109 (2020; Zbl 1446.65126) Full Text: DOI OpenURL
Abd-Elhameed, W. M.; Youssri, Y. H. Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs. (English) Zbl 1440.33008 Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 45, 19 p. (2020). MSC: 33C45 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 45, 19 p. (2020; Zbl 1440.33008) Full Text: DOI OpenURL
Kim, Hyunju; Kim, Keon Ho; Jang, Bongsoo Shifted Jacobi spectral-Galerkin method for solving fractional order initial value problems. (English) Zbl 1441.65067 J. Comput. Appl. Math. 380, Article ID 112988, 19 p. (2020). MSC: 65L60 65L05 65R20 34A08 26A33 PDF BibTeX XML Cite \textit{H. Kim} et al., J. Comput. Appl. Math. 380, Article ID 112988, 19 p. (2020; Zbl 1441.65067) Full Text: DOI OpenURL
Li, Yung-Ta; Lin, Po-Yu; Teng, Chun-Hao Inverse matrices for pseudospectral differentiation operators in polar coordinates by stepwise integrations and low-rank updates. (English) Zbl 1439.65076 Appl. Numer. Math. 150, 519-535 (2020). MSC: 65L05 65F05 65F08 65F10 65D25 65D30 PDF BibTeX XML Cite \textit{Y.-T. Li} et al., Appl. Numer. Math. 150, 519--535 (2020; Zbl 1439.65076) Full Text: DOI OpenURL
Wang, Y.; Ezz-Eldien, S. S.; Aldraiweesh, A. A. A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order. (English) Zbl 07143620 J. Comput. Appl. Math. 364, Article ID 112301, 16 p. (2020). MSC: 65-XX PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Comput. Appl. Math. 364, Article ID 112301, 16 p. (2020; Zbl 07143620) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Comput. Math. Appl. 78, No. 3, 889--904 (2019; Zbl 1442.65290) Full Text: DOI OpenURL
Abdelkawy, M. A.; Lopes, António M.; Zaky, M. A. Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations. (English) Zbl 1438.65244 Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019). MSC: 65M70 74S25 26A33 35R11 33C45 65M12 65M15 PDF BibTeX XML Cite \textit{M. A. Abdelkawy} et al., Comput. Appl. Math. 38, No. 2, Paper No. 81, 21 p. (2019; Zbl 1438.65244) Full Text: DOI OpenURL
Abd-Elhameed, W. M. New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae. (English) Zbl 1480.33010 Anal. Math. Phys. 9, No. 1, 73-98 (2019). MSC: 33F10 33C20 33F05 68W30 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed}, Anal. Math. Phys. 9, No. 1, 73--98 (2019; Zbl 1480.33010) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Bull. Iran. Math. Soc. 45, No. 2, 527--555 (2019; Zbl 1433.65124) Full Text: DOI OpenURL
Ezz-Eldien, S. S. On solving systems of multi-pantograph equations via spectral tau method. (English) Zbl 1426.65114 Appl. Math. Comput. 321, 63-73 (2018). MSC: 65L60 33C45 34K05 65L03 PDF BibTeX XML Cite \textit{S. S. Ezz-Eldien}, Appl. Math. Comput. 321, 63--73 (2018; Zbl 1426.65114) Full Text: DOI OpenURL
Abdelkawy, M. A. A collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equations. (English) Zbl 1461.65243 Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7-8, 781-792 (2018). MSC: 65M70 35K58 35R11 PDF BibTeX XML Cite \textit{M. A. Abdelkawy}, Int. J. Nonlinear Sci. Numer. Simul. 19, No. 7--8, 781--792 (2018; Zbl 1461.65243) Full Text: DOI OpenURL
Hafez, R. M.; Youssri, Y. H. Jacobi collocation scheme for variable-order fractional reaction-subdiffusion equation. (English) Zbl 1404.65195 Comput. Appl. Math. 37, No. 4, 5315-5333 (2018). MSC: 65M70 33C45 35R11 35K57 65M12 35K20 PDF BibTeX XML Cite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Appl. Math. 37, No. 4, 5315--5333 (2018; Zbl 1404.65195) Full Text: DOI OpenURL
Mu, Yan-Ping Recurrence relations for the connection coefficients of classical orthogonal polynomials. (English) Zbl 1391.33025 Integral Transforms Spec. Funct. 29, No. 7, 543-552 (2018). MSC: 33C45 33D15 33F10 PDF BibTeX XML Cite \textit{Y.-P. Mu}, Integral Transforms Spec. Funct. 29, No. 7, 543--552 (2018; Zbl 1391.33025) Full Text: DOI OpenURL
Abd-Elhameed, W. M.; Youssri, Y. H.; El-Sissi, Nermine; Sadek, Mohammad New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials. (English) Zbl 1361.42026 Ramanujan J. 42, No. 2, 347-361 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 42C10 11B39 33D45 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} et al., Ramanujan J. 42, No. 2, 347--361 (2017; Zbl 1361.42026) Full Text: DOI arXiv OpenURL
Labecca, William; Guimarães, Osvaldo; Piqueira, José Roberto C. Coadjoint formalism: nonorthogonal basis problems. (English) Zbl 1400.65040 Math. Probl. Eng. 2016, Article ID 9718962, 9 p. (2016). MSC: 65L99 34A45 41A58 33C45 PDF BibTeX XML Cite \textit{W. Labecca} et al., Math. Probl. Eng. 2016, Article ID 9718962, 9 p. (2016; Zbl 1400.65040) Full Text: DOI OpenURL
Borhanifar, A.; Khader, Mohamed M. Jacobi operational matrix and its application for solving systems of ODEs. (English) Zbl 1357.65104 Differ. Equ. Dyn. Syst. 24, No. 4, 459-473 (2016). Reviewer: Dana Černá (Liberec) MSC: 65L60 34A30 34A34 65D25 65L05 65L10 PDF BibTeX XML Cite \textit{A. Borhanifar} and \textit{M. M. Khader}, Differ. Equ. Dyn. Syst. 24, No. 4, 459--473 (2016; Zbl 1357.65104) Full Text: DOI OpenURL
Doha, E. H.; Abd-Elhameed, W. M. New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds. (English) Zbl 1360.33013 Rocky Mt. J. Math. 46, No. 2, 443-460 (2016). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C10 PDF BibTeX XML Cite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Rocky Mt. J. Math. 46, No. 2, 443--460 (2016; Zbl 1360.33013) Full Text: DOI Euclid OpenURL
Abd-Elhameed, Waleed M. Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions. (English) Zbl 1347.33045 Adv. Difference Equ. 2016, Paper No. 91, 13 p. (2016). MSC: 33F10 33C20 68W30 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed}, Adv. Difference Equ. 2016, Paper No. 91, 13 p. (2016; Zbl 1347.33045) Full Text: DOI OpenURL
Bhrawy, Ali; Zaky, Mahmoud A fractional-order Jacobi tau method for a class of time-fractional PDEs with variable coefficients. (English) Zbl 1382.65338 Math. Methods Appl. Sci. 39, No. 7, 1765-1779 (2016). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{A. Bhrawy} and \textit{M. Zaky}, Math. Methods Appl. Sci. 39, No. 7, 1765--1779 (2016; Zbl 1382.65338) Full Text: DOI OpenURL
Abd-Elhameed, W. M.; Doha, E. H.; Ahmed, H. M. Linearization formulae for certain Jacobi polynomials. (English) Zbl 1337.42030 Ramanujan J. 39, No. 1, 155-168 (2016). Reviewer: Jeremy Wade (Eugene) MSC: 42C10 33D45 33C45 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed} et al., Ramanujan J. 39, No. 1, 155--168 (2016; Zbl 1337.42030) Full Text: DOI OpenURL
Bhrawy, A. H.; Zaky, M. A. A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations. (English) Zbl 1352.65386 J. Comput. Phys. 281, 876-895 (2015). MSC: 65M70 35R11 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, J. Comput. Phys. 281, 876--895 (2015; Zbl 1352.65386) Full Text: DOI OpenURL
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A. A review of operational matrices and spectral techniques for fractional calculus. (English) Zbl 1348.65106 Nonlinear Dyn. 81, No. 3, 1023-1052 (2015). MSC: 65L05 65L15 34A08 34L16 33C45 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Nonlinear Dyn. 81, No. 3, 1023--1052 (2015; Zbl 1348.65106) Full Text: DOI OpenURL
Abd-Elhameed, W. M. New product and linearization formulae of Jacobi polynomials of certain parameters. (English) Zbl 1320.42015 Integral Transforms Spec. Funct. 26, No. 8, 586-599 (2015). Reviewer: Bujar Fejzullahu (Presevo) MSC: 42C05 33C20 33F10 PDF BibTeX XML Cite \textit{W. M. Abd-Elhameed}, Integral Transforms Spec. Funct. 26, No. 8, 586--599 (2015; Zbl 1320.42015) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Comput. 219, No. 15, 8042--8056 (2013; Zbl 1291.65207) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Collect. Math. 64, No. 3, 373--394 (2013; Zbl 1281.65108) Full Text: DOI OpenURL
Bhrawy, Ali H.; Alghamdi, Mohammed A. A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals. (English) Zbl 1280.65079 Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012). MSC: 65L60 34A08 34B10 34B15 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Bound. Value Probl. 2012, Paper No. 62, 13 p. (2012; Zbl 1280.65079) Full Text: DOI OpenURL
Bhrawy, A. H.; Alofi, A. S.; El-Soubhy, S. I. An extension of the Legendre-Galerkin method for solving sixth-order differential equations with variable polynomial coefficients. (English) Zbl 1264.65121 Math. Probl. Eng. 2012, Article ID 896575, 13 p. (2012). MSC: 65L60 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Math. Probl. Eng. 2012, Article ID 896575, 13 p. (2012; Zbl 1264.65121) Full Text: DOI OpenURL
Bhrawy, Ali H.; Al-Shomrani, M. M. A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations. (English) Zbl 1253.65158 Abstr. Appl. Anal. 2012, Article ID 418943, 16 p. (2012). MSC: 65M70 35Q53 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. M. Al-Shomrani}, Abstr. Appl. Anal. 2012, Article ID 418943, 16 p. (2012; Zbl 1253.65158) Full Text: DOI OpenURL
Bhrawy, A. H.; Alghamdi, M. A. Numerical solutions of odd order linear and nonlinear initial value problems using a shifted Jacobi spectral approximations. (English) Zbl 1253.65157 Abstr. Appl. Anal. 2012, Article ID 364360, 25 p. (2012). MSC: 65M70 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Abstr. Appl. Anal. 2012, Article ID 364360, 25 p. (2012; Zbl 1253.65157) Full Text: DOI OpenURL
Doha, Eid H.; Bhrawy, Ali H.; Ezz-Eldien, S. S. A new Jacobi operational matrix: an application for solving fractional differential equations. (English) Zbl 1252.34019 Appl. Math. Modelling 36, No. 10, 4931-4943 (2012). MSC: 34A45 34A08 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Modelling 36, No. 10, 4931--4943 (2012; Zbl 1252.34019) Full Text: DOI OpenURL
Eslahchi, M. R.; Dehghan, Mehdi; Ahmadi Asl, S. The general Jacobi matrix method for solving some nonlinear ordinary differential equations. (English) Zbl 1252.65121 Appl. Math. Modelling 36, No. 8, 3387-3398 (2012). MSC: 65L06 PDF BibTeX XML Cite \textit{M. R. Eslahchi} et al., Appl. Math. Modelling 36, No. 8, 3387--3398 (2012; Zbl 1252.65121) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Comput. 218, No. 15, 7727--7740 (2012; Zbl 1242.65148) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Math. Comput. Modelling 53, No. 9--10, 1820--1832 (2011; Zbl 1219.65077) Full Text: DOI OpenURL
Bhrawy, A. H.; Alofi, A. S.; El-Soubhy, S. I. Spectral shifted Jacobi tau and collocation methods for solving fifth-order boundary value problems. (English) Zbl 1221.65171 Abstr. Appl. Anal. 2011, Article ID 823273, 14 p. (2011). MSC: 65L10 34B05 65L60 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2011, Article ID 823273, 14 p. (2011; Zbl 1221.65171) Full Text: DOI OpenURL
Imani, Ahmad; Aminataei, Azim; Imani, Ali Collocation method via Jacobi polynomials for solving nonlinear ordinary differential equations. (English) Zbl 1221.65173 Int. J. Math. Math. Sci. 2011, Article ID 673085, 11 p. (2011). MSC: 65L10 34B15 65L60 PDF BibTeX XML Cite \textit{A. Imani} et al., Int. J. Math. Math. Sci. 2011, Article ID 673085, 11 p. (2011; Zbl 1221.65173) Full Text: DOI OpenURL
Doha, E. H.; Bhrawy, A. H.; Saker, M. A. On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations. (English) Zbl 1220.33006 Bound. Value Probl. 2011, Article ID 829543, 16 p. (2011). MSC: 33C45 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Bound. Value Probl. 2011, Article ID 829543, 16 p. (2011; Zbl 1220.33006) Full Text: DOI EuDML OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Abstr. Appl. Anal. 2011, Article ID 947230, 21 p. (2011; Zbl 1216.65086) Full Text: DOI EuDML OpenURL
Bhrawy, A. H.; El-Soubhy, S. I. Jacobi spectral Galerkin method for the integrated forms of second-order differential equations. (English) Zbl 1204.65132 Appl. Math. Comput. 217, No. 6, 2684-2697 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 35J25 35J05 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{S. I. El-Soubhy}, Appl. Math. Comput. 217, No. 6, 2684--2697 (2010; Zbl 1204.65132) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Modelling 33, No. 4, 1982--1996 (2009; Zbl 1205.65224) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Integral Transforms Spec. Funct. 20, No. 7--8, 491--503 (2009; Zbl 1169.42314) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Numer. Algorithms 50, No. 1, 67--91 (2009; Zbl 1169.65111) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Appl. Numer. Math. 58, No. 8, 1224--1244 (2008; Zbl 1152.65112) Full Text: DOI OpenURL
Ahmed, H. M.; El-Soubhy, S. I. Recurrences and explicit formulae for the expansion and connection coefficients in series of ordinary Bessel polynomials. (English) Zbl 1152.33005 Appl. Math. Comput. 199, No. 2, 482-493 (2008). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 33C45 PDF BibTeX XML Cite \textit{H. M. Ahmed} and \textit{S. I. El-Soubhy}, Appl. Math. Comput. 199, No. 2, 482--493 (2008; Zbl 1152.33005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{E. H. Doha} and \textit{A. H. Bhrawy}, Numer. Algorithms 42, No. 2, 137--164 (2006; Zbl 1103.65119) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL