Edit Profile (opens in new tab) Abd-Elhameed, Waleed Mohamed Co-Author Distance Author ID: abd-elhameed.waleed-m Published as: Abd-Elhameed, W. M.; Abd-Elhameed, Waleed M.; Abd-Elhameed, Waleed Mohamed; Abd-elhameed, Waleed M.; Abd-Elhameed, Waleed; Elhameed, W. M. Abd- more...less External Links: dblp Documents Indexed: 82 Publications since 2002, including 2 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 72 Joint Publications 365 Co-Co-Authors all top 5 Co-Authors 10 single-authored 42 Youssri, Youssri H. 31 Doha, Eid H. 6 Atta, Ahmed Gamal 5 Ahmed, Hany M. 5 Moatimid, Galal M. 4 Bassuony, Mahmoud A. 4 Bhrawy, Ali Hassan 4 Napoli, Anna 4 Zeyada, Nasr A. 2 Ali, Afnan 2 Alsuyuti, Muhammad M. 2 Ashry, Heba 2 Elkot, Nermeen A. 2 Mohamed, Amany Saad 2 Sayed, S. M. 1 Abdelhakem, Mohamed 1 Aboeldahab, Emad 1 Alkenedri, Asmaa M. 1 El-Sissi, Nermine 1 Machado, José António Tenreiro 1 Philippou, Andreas N. 1 Sadek, Mohammad 1 Sayed, Shahenda all top 5 Serials 5 Journal of the Egyptian Mathematical Society 5 Abstract and Applied Analysis 5 Advances in Difference Equations 4 International Journal of Applied and Computational Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Function Spaces 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Numerical Methods for Partial Differential Equations 2 The Ramanujan Journal 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Advanced Studies in Contemporary Mathematics (Kyungshang) 2 International Journal of Computational Methods 2 Applications and Applied Mathematics 2 Mathematical Sciences 2 Computational Methods for Differential Equations 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Computational Physics 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Calcolo 1 Collectanea Mathematica 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Quaestiones Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Applied Mathematical Modelling 1 Advances in Mathematical Sciences and Applications 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Communications in Nonlinear Science and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Modelling and Control 1 Acta Mathematica Scientia. Series B. (English Edition) 1 JP Journal of Algebra, Number Theory and Applications 1 Hacettepe Journal of Mathematics and Statistics 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Tbilisi Mathematical Journal 1 Analysis and Mathematical Physics 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 Journal of Mathematical Modeling all top 5 Fields 62 Numerical analysis (65-XX) 34 Special functions (33-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 23 Ordinary differential equations (34-XX) 21 Partial differential equations (35-XX) 10 Number theory (11-XX) 6 Approximations and expansions (41-XX) 5 Real functions (26-XX) 3 Computer science (68-XX) 2 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 931 times in 391 Documents Cited by ▼ Year ▼ Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations. Zbl 1404.65074 Abd-Elhameed, W. M.; Youssri, Y. H. 51 2018 Generalized Lucas polynomial sequence approach for fractional differential equations. Zbl 1384.41003 Abd-Elhameed, W. M.; Youssri, Y. H. 49 2017 Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials. Zbl 1020.65088 Doha, Eid H.; Abd-Elhameed, Waleed M. 48 2002 Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials. Zbl 1274.65222 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 35 2013 Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618 Abd-Elhameed, W. M.; Youssri, Y. H. 34 2019 New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds. Zbl 1291.65238 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 33 2013 New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods. Zbl 1286.65093 Doha, E. H.; Abd-Elhameed, W. M.; Bassuony, M. A. 32 2013 Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations. Zbl 1205.65224 Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. 31 2009 On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190 Abd-Elhameed, W. M. 27 2014 New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method. Zbl 1217.65155 Bhrawy, A. H.; Abd-Elhameed, W. M. 25 2011 New Tchebyshev-Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations. Zbl 1355.65129 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H.; Bassuony, M. A. 24 2016 On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds. Zbl 1295.42012 Doha, E. H.; Abd-Elhameed, W. M. 24 2014 Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations. Zbl 1169.65326 Doha, E. H.; Abd-Elhameed, W. M. 23 2009 Jacobi spectral Galerkin method for elliptic Neumann problems. Zbl 1169.65111 Doha, E. H.; Bhrawy, A. H.; Abd-Elhameed, W. M. 23 2009 New spectral second kind Chebyshev wavelets algorithm for solving linear and nonlinear second-order differential equations involving singular and Bratu type equations. Zbl 1470.65140 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 23 2013 Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method. Zbl 1071.65136 Doha, E. H.; Abd-Elhameed, W. M. 22 2005 New ultraspherical wavelets spectral solutions for fractional Riccati differential equations. Zbl 1474.65246 Abd-Elhameed, W. M.; Youssri, Y. H. 21 2014 On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds. Zbl 1340.42063 Doha, Eid H.; Abd-elhameed, Waleed M.; Bassuony, Mahmoud A. 21 2015 New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials. Zbl 1281.65108 Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. 19 2013 Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials. Zbl 1242.65148 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 18 2012 Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. Zbl 1476.65235 Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 17 2021 Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. Zbl 1489.65140 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 15 2019 Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems. Zbl 1444.65058 Doha, Eid H.; Abd-Elhameed, Waleed M.; Elkot, Nermeen A.; Youssri, Youssri H. 14 2017 Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation. Zbl 1513.65260 Youssri, Y. H.; Abd-Elhameed, W. M.; Mohamed, A. S.; Sayed, S. M. 13 2021 An innovative harmonic numbers operational matrix method for solving initial value problems. Zbl 1373.65046 Napoli, Anna; Abd-Elhameed, W. M. 13 2017 A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems. Zbl 1422.65425 Abd-Elhameed, Waleed M.; Ahmed, Hany M.; Youssri, Youssri H. 12 2016 New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials. Zbl 1361.42026 Abd-Elhameed, W. M.; Youssri, Y. H.; El-Sissi, Nermine; Sadek, Mohammad 12 2017 New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems. Zbl 1337.65131 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 11 2016 A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. Zbl 1512.65171 Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed 11 2021 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. Zbl 1407.65080 Abd-Elhameed, W. M.; Youssri, Y. H.; Doha, E. H. 10 2015 New product and linearization formulae of Jacobi polynomials of certain parameters. Zbl 1320.42015 Abd-Elhameed, W. M. 10 2015 New solutions for singular Lane-Emden equations arising in astrophysics based on shifted ultraspherical operational matrices of derivatives. Zbl 1412.65160 Abd-Elhameed, Waleed M.; Youssri, Youssri; Doha, Eid H. 10 2014 Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. Zbl 07678011 Abd-Elhameed, Waleed M.; Machado, José A. Tenreiro; Youssri, Youssri H. 10 2022 Numerical solutions for Volterra-Fredholm-Hammerstein integral equations via second kind Chebyshev quadrature collocation algorithm. Zbl 1318.65082 Abd-Elhameed, W. M.; Youssri, Y. H. 10 2014 Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method. Zbl 1246.65121 Doha, Eid H.; Abd-Elhameed, Waleed M. 9 2012 Linearization formulae for certain Jacobi polynomials. Zbl 1337.42030 Abd-Elhameed, W. M.; Doha, E. H.; Ahmed, H. M. 9 2016 On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems. Zbl 1327.65196 Doha, E. H.; Abd-Elhameed, W. M.; Alsuyuti, M. M. 9 2015 The coefficients of differentiated expansions of double and triple Jacobi polynomials. Zbl 1302.42042 Doha, E. H.; Abd-Elhameed, W. M.; Ahmed, H. M. 9 2012 New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds. Zbl 1360.33013 Doha, E. H.; Abd-Elhameed, W. M. 8 2016 Accurate spectral solutions of first- and second-order initial value problems by the ultraspherical wavelets-Gauss collocation method. Zbl 1330.65125 Youssri, Y. H.; Elhameed, W. M. Abd-; Doha, E. H. 8 2015 Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas. Zbl 1487.33006 Abd-Elhameed, Waleed M.; Youssri, Youssri H. 8 2021 Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem. Zbl 1538.65410 Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 7 2023 Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs. Zbl 1440.33008 Abd-Elhameed, W. M.; Youssri, Y. H. 7 2020 New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation. Zbl 07840114 Abd-Elhameed, Waleed M.; Youssri, Youssri H. 6 2024 New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations. Zbl 1510.33013 Youssri, Y. H.; Abd-Elhameed, W. M.; Ahmed, H. M. 6 2022 Solutions of the connection problems between Fermat and generalized Fibonacci polynomials. Zbl 1359.11014 Abd-Elhameed, W. M.; Youssri, Y. H. 6 2016 A new collocation algorithm for solving even-order boundary value problems via a novel matrix method. Zbl 1380.65131 Napoli, Anna; Abd-Elhameed, W. M. 5 2017 Numerical solution of eighth-order boundary value problems by using Legendre polynomials. Zbl 1404.65069 Napoli, Anna; Abd-Elhameed, Waleed M. 5 2018 New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials. Zbl 1422.42041 Abd-Elhameed, Waleed M. 5 2015 Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials. Zbl 1501.65081 Youssri, Y. H.; Abd-Elhameed, W. M.; Atta, A. G. 5 2022 A Legendre-Laguerre-Galerkin method for uniform Euler-Bernoulli beam equation. Zbl 1468.65160 Bassuony, Mahmoud A.; Abd-Elhameed, Waleed Mohamed; Doha, Eid H.; Youssri, Youssri Hassan 5 2018 New connection formulae between Chebyshev and Lucas polynomials: new expressions involving Lucas numbers via hypergeometric functions. Zbl 1424.11031 Abd-Elhameed, W. M.; Youssri, Y. H. 4 2018 Efficient spectral Legendre dual-Petrov-Galerkin algorithms for the direct solution of \((2n+1)\)th-order linear differential equations. Zbl 1236.65087 Abd-Elhameed, W. M. 4 2009 An elegant operational matrix based on harmonic numbers: effective solutions for linear and nonlinear fourth-order two point boundary value problems. Zbl 1416.65213 Abd-Elhameed, Waleed M. 4 2016 A unified approach for solving linear and nonlinear odd-order two-point boundary value problems. Zbl 1445.65027 Abd-Elhameed, W. M.; Napoli, Anna 4 2020 Modified Lucas polynomials for the numerical treatment of second-order boundary value problems. Zbl 1524.65692 Youssri, Youssri Hassan; Sayed, Shahenda; Mohamed, Amany Saad; Aboeldahab, Emad; Abd-Elhameed, Waleed Mohamed 4 2023 A generalization of generalized Fibonacci and generalized Pell numbers. Zbl 1396.97004 Abd-Elhameed, W. M.; Zeyada, N. A. 3 2017 New identities involving generalized Fibonacci and generalized Lucas numbers. Zbl 1536.11028 Abd-Elhameed, W. M.; Zeyada, N. A. 3 2018 Some algorithms for solving third-order boundary value problems using novel operational matrices of generalized Jacobi polynomials. Zbl 1352.65194 Abd-Elhameed, W. M. 2 2015 New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae. Zbl 1480.33010 Abd-Elhameed, W. M. 2 2019 Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients. Zbl 1329.42027 Doha, E. H.; Abd-Elhameed, W. M. 2 2014 New spectral solutions for high odd-order boundary value problems via generalized Jacobi polynomials. Zbl 1422.65273 Abd-Elhameed, W. M. 1 2017 Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions. Zbl 1347.33045 Abd-Elhameed, Waleed M. 1 2016 Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher’s equation. Zbl 1530.65128 Abd-Elhameed, W. M.; Ali, Afnan; Youssri, Y. H. 1 2023 Novel spectral schemes to fractional problems with nonsmooth solutions. Zbl 1530.65080 Atta, Ahmed G.; Abd-Elhameed, Waleed M.; Moatimid, Galal M.; Youssri, Youssri H. 1 2023 Harmonic numbers operational matrix for solving fifth-order two point boundary value problems. Zbl 1434.65212 Youssri, Y. H.; Abd-Elhameed, W. M. 1 2018 Numerical spectral Legendre approach for solving space-time fractional advection-dispersion problems. Zbl 1434.65202 Doha, E. H.; Abd-Elhameed, W. M.; Elkot, N. A.; Youssri, Y. H. 1 2018 Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation. Zbl 07539799 Youssri, Y. H.; Abd-Elhameed, W. M.; Sayed, S. M. 1 2022 Tau algorithm for fractional delay differential equations utilizing seventh-kind Chebyshev polynomials. Zbl 07966766 Abd-Elhameed, Waleed Mohamed; Youssri, Youssri Hassan; Atta, Ahmed Gamal 1 2024 Robust shifted Jacobi-Galerkin method for solving linear hyperbolic telegraph type equation. Zbl 1495.65181 Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 1 2022 Spectral treatment of one and two dimensional second-order BVPs via certain modified shifted Chebyshev polynomials. Zbl 1499.65344 Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 1 2021 New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems. Zbl 1499.65313 Abd-Elhameed, W. M.; Alkenedri, Asmaa M. 1 2021 New formulae of squares of some Jacobi polynomials via hypergeometric functions. Zbl 1370.33025 Abd-Elhameed, W. M. 1 2017 Spectral solutions of specific singular differential equations using a unified spectral Galerkin-collocation algorithm. Zbl 1544.65199 Ahmed, H. M.; Abd-Elhameed, W. M. 1 2024 New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation. Zbl 07840114 Abd-Elhameed, Waleed M.; Youssri, Youssri H. 6 2024 Tau algorithm for fractional delay differential equations utilizing seventh-kind Chebyshev polynomials. Zbl 07966766 Abd-Elhameed, Waleed Mohamed; Youssri, Youssri Hassan; Atta, Ahmed Gamal 1 2024 Spectral solutions of specific singular differential equations using a unified spectral Galerkin-collocation algorithm. Zbl 1544.65199 Ahmed, H. M.; Abd-Elhameed, W. M. 1 2024 Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem. Zbl 1538.65410 Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 7 2023 Modified Lucas polynomials for the numerical treatment of second-order boundary value problems. Zbl 1524.65692 Youssri, Youssri Hassan; Sayed, Shahenda; Mohamed, Amany Saad; Aboeldahab, Emad; Abd-Elhameed, Waleed Mohamed 4 2023 Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher’s equation. Zbl 1530.65128 Abd-Elhameed, W. M.; Ali, Afnan; Youssri, Y. H. 1 2023 Novel spectral schemes to fractional problems with nonsmooth solutions. Zbl 1530.65080 Atta, Ahmed G.; Abd-Elhameed, Waleed M.; Moatimid, Galal M.; Youssri, Youssri H. 1 2023 Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. Zbl 07678011 Abd-Elhameed, Waleed M.; Machado, José A. Tenreiro; Youssri, Youssri H. 10 2022 New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations. Zbl 1510.33013 Youssri, Y. H.; Abd-Elhameed, W. M.; Ahmed, H. M. 6 2022 Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials. Zbl 1501.65081 Youssri, Y. H.; Abd-Elhameed, W. M.; Atta, A. G. 5 2022 Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation. Zbl 07539799 Youssri, Y. H.; Abd-Elhameed, W. M.; Sayed, S. M. 1 2022 Robust shifted Jacobi-Galerkin method for solving linear hyperbolic telegraph type equation. Zbl 1495.65181 Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 1 2022 Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. Zbl 1476.65235 Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 17 2021 Generalized Lucas polynomial sequence treatment of fractional pantograph differential equation. Zbl 1513.65260 Youssri, Y. H.; Abd-Elhameed, W. M.; Mohamed, A. S.; Sayed, S. M. 13 2021 A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. Zbl 1512.65171 Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed 11 2021 Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas. Zbl 1487.33006 Abd-Elhameed, Waleed M.; Youssri, Youssri H. 8 2021 Spectral treatment of one and two dimensional second-order BVPs via certain modified shifted Chebyshev polynomials. Zbl 1499.65344 Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. 1 2021 New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems. Zbl 1499.65313 Abd-Elhameed, W. M.; Alkenedri, Asmaa M. 1 2021 Connection formulae between generalized Lucas polynomials and some Jacobi polynomials: application to certain types of fourth-order BVPs. Zbl 1440.33008 Abd-Elhameed, W. M.; Youssri, Y. H. 7 2020 A unified approach for solving linear and nonlinear odd-order two-point boundary value problems. Zbl 1445.65027 Abd-Elhameed, W. M.; Napoli, Anna 4 2020 Sixth-kind Chebyshev spectral approach for solving fractional differential equations. Zbl 07048618 Abd-Elhameed, W. M.; Youssri, Y. H. 34 2019 Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation. Zbl 1489.65140 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 15 2019 New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae. Zbl 1480.33010 Abd-Elhameed, W. M. 2 2019 Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations. Zbl 1404.65074 Abd-Elhameed, W. M.; Youssri, Y. H. 51 2018 Numerical solution of eighth-order boundary value problems by using Legendre polynomials. Zbl 1404.65069 Napoli, Anna; Abd-Elhameed, Waleed M. 5 2018 A Legendre-Laguerre-Galerkin method for uniform Euler-Bernoulli beam equation. Zbl 1468.65160 Bassuony, Mahmoud A.; Abd-Elhameed, Waleed Mohamed; Doha, Eid H.; Youssri, Youssri Hassan 5 2018 New connection formulae between Chebyshev and Lucas polynomials: new expressions involving Lucas numbers via hypergeometric functions. Zbl 1424.11031 Abd-Elhameed, W. M.; Youssri, Y. H. 4 2018 New identities involving generalized Fibonacci and generalized Lucas numbers. Zbl 1536.11028 Abd-Elhameed, W. M.; Zeyada, N. A. 3 2018 Harmonic numbers operational matrix for solving fifth-order two point boundary value problems. Zbl 1434.65212 Youssri, Y. H.; Abd-Elhameed, W. M. 1 2018 Numerical spectral Legendre approach for solving space-time fractional advection-dispersion problems. Zbl 1434.65202 Doha, E. H.; Abd-Elhameed, W. M.; Elkot, N. A.; Youssri, Y. H. 1 2018 Generalized Lucas polynomial sequence approach for fractional differential equations. Zbl 1384.41003 Abd-Elhameed, W. M.; Youssri, Y. H. 49 2017 Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems. Zbl 1444.65058 Doha, Eid H.; Abd-Elhameed, Waleed M.; Elkot, Nermeen A.; Youssri, Youssri H. 14 2017 An innovative harmonic numbers operational matrix method for solving initial value problems. Zbl 1373.65046 Napoli, Anna; Abd-Elhameed, W. M. 13 2017 New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials. Zbl 1361.42026 Abd-Elhameed, W. M.; Youssri, Y. H.; El-Sissi, Nermine; Sadek, Mohammad 12 2017 A new collocation algorithm for solving even-order boundary value problems via a novel matrix method. Zbl 1380.65131 Napoli, Anna; Abd-Elhameed, W. M. 5 2017 A generalization of generalized Fibonacci and generalized Pell numbers. Zbl 1396.97004 Abd-Elhameed, W. M.; Zeyada, N. A. 3 2017 New spectral solutions for high odd-order boundary value problems via generalized Jacobi polynomials. Zbl 1422.65273 Abd-Elhameed, W. M. 1 2017 New formulae of squares of some Jacobi polynomials via hypergeometric functions. Zbl 1370.33025 Abd-Elhameed, W. M. 1 2017 New Tchebyshev-Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations. Zbl 1355.65129 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H.; Bassuony, M. A. 24 2016 A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems. Zbl 1422.65425 Abd-Elhameed, Waleed M.; Ahmed, Hany M.; Youssri, Youssri H. 12 2016 New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems. Zbl 1337.65131 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 11 2016 Linearization formulae for certain Jacobi polynomials. Zbl 1337.42030 Abd-Elhameed, W. M.; Doha, E. H.; Ahmed, H. M. 9 2016 New linearization formulae for the products of Chebyshev polynomials of third and fourth kinds. Zbl 1360.33013 Doha, E. H.; Abd-Elhameed, W. M. 8 2016 Solutions of the connection problems between Fermat and generalized Fibonacci polynomials. Zbl 1359.11014 Abd-Elhameed, W. M.; Youssri, Y. H. 6 2016 An elegant operational matrix based on harmonic numbers: effective solutions for linear and nonlinear fourth-order two point boundary value problems. Zbl 1416.65213 Abd-Elhameed, Waleed M. 4 2016 Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions. Zbl 1347.33045 Abd-Elhameed, Waleed M. 1 2016 On the coefficients of differentiated expansions and derivatives of Chebyshev polynomials of the third and fourth kinds. Zbl 1340.42063 Doha, Eid H.; Abd-elhameed, Waleed M.; Bassuony, Mahmoud A. 21 2015 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. Zbl 1407.65080 Abd-Elhameed, W. M.; Youssri, Y. H.; Doha, E. H. 10 2015 New product and linearization formulae of Jacobi polynomials of certain parameters. Zbl 1320.42015 Abd-Elhameed, W. M. 10 2015 On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems. Zbl 1327.65196 Doha, E. H.; Abd-Elhameed, W. M.; Alsuyuti, M. M. 9 2015 Accurate spectral solutions of first- and second-order initial value problems by the ultraspherical wavelets-Gauss collocation method. Zbl 1330.65125 Youssri, Y. H.; Elhameed, W. M. Abd-; Doha, E. H. 8 2015 New formulas for the linearization coefficients of some nonsymmetric Jacobi polynomials. Zbl 1422.42041 Abd-Elhameed, Waleed M. 5 2015 Some algorithms for solving third-order boundary value problems using novel operational matrices of generalized Jacobi polynomials. Zbl 1352.65194 Abd-Elhameed, W. M. 2 2015 On solving linear and nonlinear sixth-order two point boundary value problems via an elegant harmonic numbers operational matrix of derivatives. Zbl 1356.65190 Abd-Elhameed, W. M. 27 2014 On the coefficients of integrated expansions and integrals of Chebyshev polynomials of third and fourth kinds. Zbl 1295.42012 Doha, E. H.; Abd-Elhameed, W. M. 24 2014 New ultraspherical wavelets spectral solutions for fractional Riccati differential equations. Zbl 1474.65246 Abd-Elhameed, W. M.; Youssri, Y. H. 21 2014 New solutions for singular Lane-Emden equations arising in astrophysics based on shifted ultraspherical operational matrices of derivatives. Zbl 1412.65160 Abd-Elhameed, Waleed M.; Youssri, Youssri; Doha, Eid H. 10 2014 Numerical solutions for Volterra-Fredholm-Hammerstein integral equations via second kind Chebyshev quadrature collocation algorithm. Zbl 1318.65082 Abd-Elhameed, W. M.; Youssri, Y. H. 10 2014 Integrals of Chebyshev polynomials of third and fourth kinds: an application to solution of boundary value problems with polynomial coefficients. Zbl 1329.42027 Doha, E. H.; Abd-Elhameed, W. M. 2 2014 Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials. Zbl 1274.65222 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 35 2013 New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds. Zbl 1291.65238 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 33 2013 New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods. Zbl 1286.65093 Doha, E. H.; Abd-Elhameed, W. M.; Bassuony, M. A. 32 2013 New spectral second kind Chebyshev wavelets algorithm for solving linear and nonlinear second-order differential equations involving singular and Bratu type equations. Zbl 1470.65140 Abd-Elhameed, W. M.; Doha, E. H.; Youssri, Y. H. 23 2013 New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials. Zbl 1281.65108 Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. 19 2013 Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials. Zbl 1242.65148 Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. 18 2012 Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method. Zbl 1246.65121 Doha, Eid H.; Abd-Elhameed, Waleed M. 9 2012 The coefficients of differentiated expansions of double and triple Jacobi polynomials. Zbl 1302.42042 Doha, E. H.; Abd-Elhameed, W. M.; Ahmed, H. M. 9 2012 New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method. Zbl 1217.65155 Bhrawy, A. H.; Abd-Elhameed, W. M. 25 2011 Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations. Zbl 1205.65224 Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. 31 2009 Efficient spectral ultraspherical-dual-Petrov-Galerkin algorithms for the direct solution of \((2n + 1)\)th-order linear differential equations. Zbl 1169.65326 Doha, E. H.; Abd-Elhameed, W. M. 23 2009 Jacobi spectral Galerkin method for elliptic Neumann problems. Zbl 1169.65111 Doha, E. H.; Bhrawy, A. H.; Abd-Elhameed, W. M. 23 2009 Efficient spectral Legendre dual-Petrov-Galerkin algorithms for the direct solution of \((2n+1)\)th-order linear differential equations. Zbl 1236.65087 Abd-Elhameed, W. M. 4 2009 Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method. Zbl 1071.65136 Doha, E. H.; Abd-Elhameed, W. M. 22 2005 Efficient spectral-Galerkin algorithms for direct solution of second-order equations using ultraspherical polynomials. Zbl 1020.65088 Doha, Eid H.; Abd-Elhameed, Waleed M. 48 2002 all cited Publications top 5 cited Publications all top 5 Cited by 477 Authors 62 Abd-Elhameed, Waleed Mohamed 49 Youssri, Youssri H. 39 Bhrawy, Ali Hassan 39 Doha, Eid H. 14 Abdelkawy, Mohamed A. 12 Hafez, Ramy Mahmoud 11 Băleanu, Dumitru I. 9 Atta, Ahmed Gamal 8 Ahmed, Hany M. 8 Napoli, Anna 7 Abdelhakem, Mohamed 7 Ezz-Eldien, Samer S. 7 Sezer, Mehmet 7 Zaky, Mahmoud A. 6 Alghamdi, Mohammed Ali 6 Moatimid, Galal M. 6 Owolabi, Kolade Matthew 6 Xu, Xiaoyong 6 Zhou, Fengying 5 Alofi, Abdulaziz Saleem Moslem 5 Aminikhah, Hossein 5 El-Soubhy, Salma Ibrahim 5 Elkady, Mamdouh 5 Mohamed, Amany Saad 5 Sadri, Khadijeh 5 Sooppy Nisar, Kottakkaran 4 Alsuyuti, Muhammad M. 4 Costabile, Francesco Aldo 4 Dolgiĭ, Dmitriĭ Viktorovich 4 Jafari, Hossein 4 Kim, Dae San 4 Kim, Taekyun 4 Kwon, JongKyum 4 Machado, José António Tenreiro 4 Mahdy, Amr M. S. 4 Mokhtar, Mahmoud M. 4 Shah, Firdous Ahmad 4 van Gorder, Robert Ashton 3 Adel, Mohamed H. 3 Alipanah, Amjad 3 Amin, Ahmed Z. M. 3 Awonusika, Richard Olu 3 Bassuony, Mahmoud A. 3 Çelik, İbrahim 3 El Sayed, Adel Abd Elaziz 3 Eslahchi, Mohammad Reza 3 Gualtieri, Maria Italia 3 Li, Yung-Ta 3 Lopes, António M. 3 Ordokhani, Yadollah 3 Rahimkhani, Parisa 3 Ricci, Paolo Emilio 3 Srivastava, Hari Mohan 3 Sweilam, Nasser Hassan 3 Teng, Chun-Hao 3 Wattanasakulpong, Nuttawit 2 Abass, Rustam 2 Abbasbandy, Saeid 2 Abdelhamied, Dina 2 Abdou, Mohamed Abdella 2 Agarwal, Praveen 2 Ahmadian, Ali 2 Ali, Afnan 2 Ali, Ihteram 2 Allahviranloo, Tofigh 2 Alyami, Salem A. 2 Ashry, Heba 2 Assas, Laila M. B. 2 Atangana, Abdon 2 Atkinson, Kendall Eugene 2 Babaei, Afshin 2 Banihashemi, Seddigheh 2 Brown, Benjamin P. 2 Burns, Keaton J. 2 Çayan, Seda 2 Chaikittiratana, Arisara 2 Chien, David 2 El-Dib, Yusry O. 2 Elgindy, Kareem T. 2 Elkot, Nermeen A. 2 Fairweather, Graeme 2 Ganji, Roghayeh Moallem 2 Guimarães, Osvaldo 2 Gümgüm, Sevin 2 Hansen, Olaf 2 Haq, Sirajul 2 Heydari, Mohammad Hossein 2 Hosseini, Kamyar 2 Işik, Osman Raşit 2 Izadi, Mohammad 2 Khani, Ali 2 Kumar, Sachin 2 Kumbinarasaiah, S. 2 Kurkcu, Omur Kivanc 2 Labecca, William 2 Lal, Shyam 2 Lecoanet, Daniel 2 Lin, Po-Yu 2 Maleknejad, Khosrow 2 Mohamed, Doaa Shokry ...and 377 more Authors all top 5 Cited in 114 Serials 21 Advances in Difference Equations 20 Computational and Applied Mathematics 19 International Journal of Applied and Computational Mathematics 17 Abstract and Applied Analysis 16 Mathematical Methods in the Applied Sciences 14 Applied Mathematics and Computation 11 Chaos, Solitons and Fractals 11 Applied Numerical Mathematics 11 International Journal of Computer Mathematics 10 Boundary Value Problems 9 Journal of Function Spaces 9 Computational Methods for Differential Equations 8 Numerical Algorithms 8 Mathematical Sciences 7 Journal of Computational and Applied Mathematics 7 Numerical Methods for Partial Differential Equations 7 Journal of the Egyptian Mathematical Society 7 International Journal of Nonlinear Sciences and Numerical Simulation 6 Mathematical Problems in Engineering 5 Applied Mathematical Modelling 5 Fractals 5 Mediterranean Journal of Mathematics 4 Journal of Computational Physics 4 Calcolo 4 Demonstratio Mathematica 4 Mathematics and Computers in Simulation 4 Integral Transforms and Special Functions 4 Journal of Mathematical Chemistry 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Nonlinear Mathematical Physics 4 International Journal of Computational Methods 4 Applications and Applied Mathematics 4 Symmetry 4 Journal of Applied Analysis and Computation 3 Computers & Mathematics with Applications 3 Optimal Control Applications & Methods 3 The Journal of Analysis 3 Journal of Applied Mathematics and Computing 3 Tbilisi Mathematical Journal 3 Arabian Journal of Mathematics 2 Physica A 2 Mathematica Slovaca 2 Advances in Computational Mathematics 2 The Ramanujan Journal 2 Integers 2 Nonlinear Analysis. Modelling and Control 2 Kragujevac Journal of Mathematics 2 Journal of Applied Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Advances in Mathematical Physics 2 International Journal of Structural Stability and Dynamics 2 Journal of Mathematics 2 Journal of Mathematical Modeling 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Collectanea Mathematica 1 The Fibonacci Quarterly 1 Gaṇita 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Ricerche di Matematica 1 Bulletin of the Iranian Mathematical Society 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Computational Mathematics and Mathematical Physics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Scientific Computing 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Journal of Vibration and Control 1 Mathematical Communications 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Soft Computing 1 Journal of Shanghai University 1 Chaos 1 Fractional Calculus & Applied Analysis 1 Discrete Dynamics in Nature and Society 1 The ANZIAM Journal 1 Nonlinear Functional Analysis and Applications 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Hacettepe Journal of Mathematics and Statistics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Geometric Methods in Modern Physics 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 Advances and Applications in Discrete Mathematics 1 Acta Universitatis Sapientiae. Mathematica 1 Armenian Journal of Mathematics ...and 14 more Serials all top 5 Cited in 41 Fields 300 Numerical analysis (65-XX) 119 Partial differential equations (35-XX) 118 Ordinary differential equations (34-XX) 76 Special functions (33-XX) 49 Real functions (26-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 39 Number theory (11-XX) 32 Integral equations (45-XX) 29 Approximations and expansions (41-XX) 15 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year