Bhrawy, A. H.; Zaky, M. A. Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. (English) Zbl 1412.65162 Comput. Math. Appl. 73, No. 6, 1100-1117 (2017). MSC: 65M70 65M12 35R11 35Q55 65L06 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Zaky}, Comput. Math. Appl. 73, No. 6, 1100--1117 (2017; Zbl 1412.65162) Full Text: DOI
Bhrawy, Ali H.; Zaky, Mahmoud A.; Machado, José A. Tenreiro Numerical solution of the two-sided space-time fractional telegraph equation via Chebyshev tau approximation. (English) Zbl 1471.65157 J. Optim. Theory Appl. 174, No. 1, 321-341 (2017). MSC: 65M70 26A33 35R11 41A50 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., J. Optim. Theory Appl. 174, No. 1, 321--341 (2017; Zbl 1471.65157) Full Text: DOI
Bhrawy, A. H.; Abdelkawy, M. A. Efficient spectral collocation algorithm for solving parabolic inverse problems. (English) Zbl 1359.65176 Int. J. Comput. Methods 13, No. 6, Article ID 1650036, 22 p. (2016). MSC: 65M32 65M70 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Abdelkawy}, Int. J. Comput. Methods 13, No. 6, Article ID 1650036, 22 p. (2016; Zbl 1359.65176) Full Text: DOI
Bhrawy, A. H. A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations. (English) Zbl 1348.65143 Numer. Algorithms 73, No. 1, 91-113 (2016). MSC: 65M70 35K55 35R11 65M15 65M12 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Numer. Algorithms 73, No. 1, 91--113 (2016; Zbl 1348.65143) 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
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
Bhrawy, Ali H.; Abdelkawy, Mohamed A.; Mallawi, Fouad An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays. (English) Zbl 1515.35023 Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015). MSC: 35A35 35K20 35R10 41A50 65M70 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Bound. Value Probl. 2015, Paper No. 103, 20 p. (2015; Zbl 1515.35023) Full Text: DOI
Doha, Eid H.; Bhrawy, Ali H.; Hafez, Ramy M.; Van Gorder, Robert A. Jacobi rational-Gauss collocation method for Lane-Emden equations of astrophysical significance. (English) Zbl 1423.85007 Nonlinear Anal., Model. Control 19, No. 4, 537-550 (2014). MSC: 85A15 35Q85 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Nonlinear Anal., Model. Control 19, No. 4, 537--550 (2014; Zbl 1423.85007) Full Text: DOI
Bhrawy, A. H. A new Legendre collocation method for solving a two-dimensional fractional diffusion equation. (English) Zbl 1468.65161 Abstr. Appl. Anal. 2014, Article ID 636191, 10 p. (2014). MSC: 65M70 35R11 65L06 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Abstr. Appl. Anal. 2014, Article ID 636191, 10 p. (2014; Zbl 1468.65161) Full Text: DOI
Bhrawy, A. H.; Alghamdi, M. A.; Alaidarous, Eman S. An efficient numerical approach for solving nonlinear coupled hyperbolic partial differential equations with nonlocal conditions. (English) Zbl 1449.65241 Abstr. Appl. Anal. 2014, Article ID 295936, 14 p. (2014). MSC: 65M60 65N35 65L06 65M32 35R05 35C08 35L70 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2014, Article ID 295936, 14 p. (2014; Zbl 1449.65241) 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
Bhrawy, A. H. An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system. (English) Zbl 1339.65188 Appl. Math. Comput. 247, 30-46 (2014). MSC: 65M70 35L70 35Q55 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Appl. Math. Comput. 247, 30--46 (2014; Zbl 1339.65188) 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
Bhrawy, A. H.; Alghamdi, M. A. A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations. (English) Zbl 1302.65174 Adv. Math. Phys. 2014, Article ID 595848, 8 p. (2014). MSC: 65L60 65L03 34K37 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Adv. Math. Phys. 2014, Article ID 595848, 8 p. (2014; Zbl 1302.65174) Full Text: DOI
Bhrawy, A. H. A new numerical algorithm for solving a class of fractional advection-dispersion equation with variable coefficients using Jacobi polynomials. (English) Zbl 1470.65172 Abstr. Appl. Anal. 2013, Article ID 954983, 9 p. (2013). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{A. H. Bhrawy}, Abstr. Appl. Anal. 2013, Article ID 954983, 9 p. (2013; Zbl 1470.65172) Full Text: DOI
Bhrawy, A. H.; Assas, L. M.; Alghamdi, M. A. Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms. (English) Zbl 1470.65173 Abstr. Appl. Anal. 2013, Article ID 741278, 12 p. (2013). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Abstr. Appl. Anal. 2013, Article ID 741278, 12 p. (2013; Zbl 1470.65173) Full Text: DOI
Tohidi, E.; Bhrawy, A. H.; Erfani, K. A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. (English) Zbl 1273.34082 Appl. Math. Modelling 37, No. 6, 4283-4294 (2013). MSC: 34K28 65L03 PDFBibTeX XMLCite \textit{E. Tohidi} et al., Appl. Math. Modelling 37, No. 6, 4283--4294 (2013; Zbl 1273.34082) Full Text: DOI Link
Bhrawy, Ali H.; Alofi, A. S. A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. (English) Zbl 1244.65099 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62-70 (2012). MSC: 65L05 65L60 34A34 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{A. S. Alofi}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62--70 (2012; Zbl 1244.65099) Full Text: DOI
Bhrawy, A. H.; Abd-Elhameed, W. M. New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method. (English) Zbl 1217.65155 Math. Probl. Eng. 2011, Article ID 837218, 14 p. (2011). MSC: 65L60 65L10 34B15 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{W. M. Abd-Elhameed}, Math. Probl. Eng. 2011, Article ID 837218, 14 p. (2011; Zbl 1217.65155) Full Text: DOI EuDML