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
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
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
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
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
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.; 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.; 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
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
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
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
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
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.; 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 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.; 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
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 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Math. Modelling 36, No. 10, 4931--4943 (2012; Zbl 1252.34019) Full Text: DOI
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.; 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.; 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