Hussain, Basharat; Faheem, Mo; Khan, Arshad A numerical technique based on Legendre wavelet for linear and nonlinear hyperbolic telegraph equation. (English) Zbl 07895388 J. Appl. Math. Comput. 70, No. 4, 3661-3684 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elhameed, Waleed M.; Youssri, Youssri H. New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: spectral solutionof the convection-diffusion equation. (English) Zbl 07840114 Numer. Methods Partial Differ. Equations 40, No. 2, Article ID e22756, 33 p. (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem. (English) Zbl 1538.65410 Math. Sci., Springer 17, No. 4, 415-429 (2023). MSC: 65M70 35L02 41A50 65M12 65M15 41A10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lei, Weidong; Ahsan, Muhammad; Khan, Waqas; Uddin, Zaheer; Ahmad, Masood A numerical Haar wavelet-finite difference hybrid method and its convergence for nonlinear hyperbolic partial differential equation. (English) Zbl 07690112 Demonstr. Math. 56, Article ID 20220203, 22 p. (2023). MSC: 65-XX 35Exx 65Mxx 65Nxx 00A69 65T60 35-XX 65H05 35C08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Atta, A. G.; Youssri, Y. H. Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398 Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022). MSC: 65M70 65M15 45K05 33C45 35R09 41A50 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Robust shifted Jacobi-Galerkin method for solving linear hyperbolic telegraph type equation. (English) Zbl 1495.65181 Palest. J. Math. 11, No. 3, 504-518 (2022). MSC: 65M70 33C45 35L10 65M12 × Cite Format Result Cite Review PDF Full Text: Link
Youssri, Y. H.; Abd-Elhameed, W. M.; Ahmed, H. M. New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations. (English) Zbl 1510.33013 J. Funct. Spaces 2022, Article ID 3966135, 13 p. (2022). MSC: 33C45 26A33 34K07 34K37 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ashry, Heba; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Spectral treatment of one and two dimensional second-order BVPs via certain modified shifted Chebyshev polynomials. (English) Zbl 1499.65344 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 248, 21 p. (2021). MSC: 65L60 33C45 34A30 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Nagy, A. M.; El-Sayed, A. A. A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order. (English) Zbl 1476.65133 Comput. Appl. Math. 40, No. 3, Paper No. 85, 13 p. (2021). MSC: 65L05 33C47 34A08 34A45 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. (English) Zbl 1512.65171 Math. Methods Appl. Sci. 44, No. 11, 9224-9236 (2021). MSC: 65L60 33C45 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. (English) Zbl 1476.65235 Appl. Numer. Math. 167, 237-256 (2021). MSC: 65M60 65M70 65M12 65M15 65F05 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Ray, S. Saha Dispersive optical solitons of time-fractional Schrödinger-Hirota equation in nonlinear optical fibers. (English) Zbl 07571784 Physica A 537, Article ID 122619, 11 p. (2020). MSC: 82-XX 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Owolabi, Kolade M. Numerical simulation of nonlinear ecological models with nonlocal and nonsingular fractional derivative. (English) Zbl 1476.65184 Dutta, Hemen (ed.), Mathematical modelling in health, social and applied sciences. Singapore: Springer. Forum Interdiscip. Math., 303-320 (2020). MSC: 65M06 65M12 65L06 35B32 35B36 35K57 35A01 35A02 34A08 92D40 92C15 92D25 26A33 35R11 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Abd-Elhameed, W. M.; Napoli, Anna A unified approach for solving linear and nonlinear odd-order two-point boundary value problems. (English) Zbl 1445.65027 Bull. Malays. Math. Sci. Soc. (2) 43, No. 3, 2835-2849 (2020). Reviewer: Yang Yang (Wuxi) MSC: 65L10 65L60 42C15 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Buyun; He, Dongdong; Pan, Kejia A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients. (English) Zbl 1499.65377 Int. J. Comput. Math. 96, No. 5, 992-1004 (2019). MSC: 65M06 65N06 65L12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Youssri, Y. H.; Hafez, R. M. Exponential Jacobi spectral method for hyperbolic partial differential equations. (English) Zbl 1452.35088 Math. Sci., Springer 13, No. 4, 347-354 (2019). MSC: 35L04 65M70 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Sixth-kind Chebyshev spectral approach for solving fractional differential equations. (English) Zbl 07048618 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191-203 (2019). MSC: 65M70 34A08 33C45 11B83 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations. (English) Zbl 1404.65074 Comput. Appl. Math. 37, No. 3, 2897-2921 (2018). MSC: 65L60 34A08 33C45 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Hafez, Ramy M. Numerical solution of linear and nonlinear hyperbolic telegraph type equations with variable coefficients using shifted Jacobi collocation method. (English) Zbl 1404.65196 Comput. Appl. Math. 37, No. 4, 5253-5273 (2018). MSC: 65M70 35L20 33C45 35Q60 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Doha, Eid H.; Abd-Elhameed, Waleed M.; Elkot, Nermeen A.; Youssri, Youssri H. Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems. (English) Zbl 1444.65058 Adv. Difference Equ. 2017, Paper No. 284, 23 p. (2017). MSC: 65M70 65M12 65M06 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI OA License