Abd-Elhameed, Waleed M.; Youssri, Youssri H. Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas. (English) Zbl 1487.33006 Adv. Difference Equ. 2021, Paper No. 84, 20 p. (2021). MSC: 33C45 33C15 33C05 42C10 11B83 42C05 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Adv. Difference Equ. 2021, Paper No. 84, 20 p. (2021; Zbl 1487.33006) Full Text: DOI
Abdelhakem, M.; Youssri, Y. H. Two spectral Legendre’s derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems. (English) Zbl 1472.65090 Appl. Numer. Math. 169, 243-255 (2021). MSC: 65L11 65L10 PDFBibTeX XMLCite \textit{M. Abdelhakem} and \textit{Y. H. Youssri}, Appl. Numer. Math. 169, 243--255 (2021; Zbl 1472.65090) Full Text: DOI
Youssri, Y. H.; Hafez, R. M. Chebyshev collocation treatment of Volterra-Fredholm integral equation with error analysis. (English) Zbl 1441.65130 Arab. J. Math. 9, No. 2, 471-480 (2020). MSC: 65R20 45B05 42C10 65F45 PDFBibTeX XMLCite \textit{Y. H. Youssri} and \textit{R. M. Hafez}, Arab. J. Math. 9, No. 2, 471--480 (2020; Zbl 1441.65130) Full Text: DOI
Hafez, Ramy Mahmoud; Youssri, Youssri Hassan Legendre-collocation spectral solver for variable-order fractional functional differential equations. (English) Zbl 1463.65169 Comput. Methods Differ. Equ. 8, No. 1, 99-110 (2020). MSC: 65L03 34K37 65L60 65L70 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Comput. Methods Differ. Equ. 8, No. 1, 99--110 (2020; Zbl 1463.65169) 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, 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
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
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
Youssri, Y. H.; Abd-Elhameed, W. M. Harmonic numbers operational matrix for solving fifth-order two point boundary value problems. (English) Zbl 1434.65212 Tbil. Math. J. 11, No. 2, 17-33 (2018). MSC: 65M70 65N35 35C10 42C10 PDFBibTeX XMLCite \textit{Y. H. Youssri} and \textit{W. M. Abd-Elhameed}, Tbil. Math. J. 11, No. 2, 17--33 (2018; Zbl 1434.65212) Full Text: DOI Euclid
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 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Ramanujan J. 42, No. 2, 347--361 (2017; Zbl 1361.42026) Full Text: DOI arXiv
Abd-Elhameed, Waleed M.; Ahmed, Hany M.; Youssri, Youssri H. A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems. (English) Zbl 1422.65425 Adv. Difference Equ. 2016, Paper No. 22, 16 p. (2016). MSC: 65N35 35C10 42C10 65L60 65L10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Adv. Difference Equ. 2016, Paper No. 22, 16 p. (2016; Zbl 1422.65425) 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
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.; 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