Publications

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2023
Abdelhamied, D., M. Abdelhakem, M. El-Kady, and Y. H. Youssri, "Adapted Shifted ChebyshevU Operational Matrix of Derivatives: Two Algorithms for Solving Even-Order BVPs", Applied Mathematics and Information Sciences, vol. 17, no. 3, pp. 505 – 511, 2023. AbstractWebsite
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Atta, A. G., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem", Mathematical Sciences, vol. 17, no. 4, pp. 415 – 429, 2023. AbstractWebsite
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Abd-Elhameed, W. M., Y. H. Youssri, A. K. Amin, and A. G. Atta, "Eighth-Kind Chebyshev Polynomials Collocation Algorithm for the Nonlinear Time-Fractional Generalized Kawahara Equation", Fractal and Fractional, vol. 7, no. 9, 2023. AbstractWebsite
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Abdelhakem, M., D. Abdelhamied, M. El-Kady, and Y. H. Youssri, "Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs", Journal of Applied Mathematics and Computing, vol. 69, no. 5, pp. 3893 – 3909, 2023. AbstractWebsite
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Moustafa, M., Y. H. Youssri, and A. G. Atta, "Explicit Chebyshev Petrov-Galerkin scheme for time-fractional fourth-order uniform Euler-Bernoulli pinned-pinned beam equation", Nonlinear Engineering, vol. 12, no. 1, 2023. AbstractWebsite
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Hafez, R. M., Y. H. Youssri, and A. G. Atta, "Jacobi Rational Operational Approach for Time-Fractional Sub-Diffusion Equation on a Semi-Infinite Domain", Contemporary Mathematics (Singapore), vol. 4, no. 4, pp. 853 – 876, 2023. AbstractWebsite
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Youssri, Y. H., and M. M. Muttardi, "A Mingled Tau-Finite Difference Method for Stochastic First-Order Partial Differential Equations", International Journal of Applied and Computational Mathematics, vol. 9, no. 2, 2023. AbstractWebsite
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Youssri, Y. H., S. M. Sayed, A. S. Mohamed, E. M. Aboeldahab, and W. M. Abd-Elhameed, "Modified Lucas polynomials for the numerical treatment of second-order boundary value prob- lems", Computational Methods for Differential Equations, vol. 11, no. 1, pp. 12 – 31, 2023. AbstractWebsite
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Abd-Elhameed, W. M., A. Ali, and Y. H. Youssri, "Newfangled Linearization Formula of Certain Nonsymmetric Jacobi Polynomials: Numerical Treatment of Nonlinear Fisher's Equation", Journal of Function Spaces, vol. 2023, 2023. AbstractWebsite
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Atta, A. G., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Novel spectral schemes to fractional problems with nonsmooth solutions", Mathematical Methods in the Applied Sciences, vol. 46, no. 13, pp. 14745 – 14764, 2023. AbstractWebsite
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Abd-Elhameed, W. M., S. O. Alkhamisi, A. K. Amin, and Y. H. Youssri, "Numerical Contrivance for Kawahara-Type Differential Equations Based on Fifth-Kind Chebyshev Polynomials", Symmetry, vol. 15, no. 1, 2023. AbstractWebsite
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Youssri, Y. H., and A. G. Atta, "Petrov-Galerkin Lucas Polynomials Procedure for the Time-Fractional Diffusion Equation", Contemporary Mathematics (Singapore), vol. 4, no. 2, pp. 230 – 248, 2023. AbstractWebsite
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Magdy, E., W. M. Abd-Elhameed, Y. H. Youssri, G. M. Moatimid, and A. G. Atta, "A Potent Collocation Approach Based on Shifted Gegenbauer Polynomials for Nonlinear Time Fractional Burgers’ Equations", Contemporary Mathematics (Singapore), vol. 4, no. 4, pp. 647 – 665, 2023. AbstractWebsite
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Atta, A. G., and Y. H. Youssri, "Shifted Second-Kind Chebyshev Spectral Collocation -Based Technique for Time-Fractional KdV-Burgers’ Equation", Iranian Journal of Mathematical Chemistry, vol. 14, no. 4, pp. 207 – 224, 2023. AbstractWebsite
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Youssri, Y. H., and A. G. Atta, "Spectral Collocation Approach via Normalized Shifted Jacobi Polynomials for the Nonlinear Lane-Emden Equation with Fractal-Fractional Derivative", Fractal and Fractional, vol. 7, no. 2, 2023. AbstractWebsite
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Abdelghany, E. M., W. M. Abd-Elhameed, G. M. Moatimid, Y. H. Youssri, and A. G. Atta, "A Tau Approach for Solving Time-Fractional Heat Equation Based on the Shifted Sixth-Kind Chebyshev Polynomials", Symmetry, vol. 15, no. 3, 2023. AbstractWebsite
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2022
Atta, A. G., and Y. H. Youssri, "Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel", Computational and Applied Mathematics, vol. 41, no. 8, 2022. AbstractWebsite
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Youssri, Y. H., and A. G. Atta, "Double Tchebyshev Spectral Tau Algorithm for Solving KdV Equation, with Soliton Application", Encyclopedia of Complexity and Systems Science: Springer, Berlin, Heidelberg, pp. 451–467, 2022. Abstract
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Atta, A. G., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "A Fast Galerkin Approach for Solving the Fractional Rayleigh–Stokes Problem via Sixth-Kind Chebyshev Polynomials", Mathematics, vol. 10, no. 11, 2022. AbstractWebsite
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Youssri, Y. H., W. M. Abd-Elhameed, and S. M. Sayed, "Generalized Lucas Tau Method for the Numerical Treatment of the One and Two-Dimensional Partial Differential Heat Equation", Journal of Function Spaces, vol. 2022, 2022. AbstractWebsite
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Abd-Elhameed, W. M., J. T. A. Machado, and Y. H. Youssri, "Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: Tau algorithm for a type of fractional delay differential equations", International Journal of Nonlinear Sciences and Numerical Simulation, vol. 23, no. 7-8, pp. 1253 – 1268, 2022. AbstractWebsite
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Atta, A. G., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Modal Shifted Fifth-Kind Chebyshev Tau Integral Approach for Solving Heat Conduction Equation", Fractal and Fractional, vol. 6, no. 11, 2022. AbstractWebsite
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Ashry, H., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Robust Shifted Jacobi-Galerkin Method for Solving Linear Hyperbolic Telegraph Type Equation", Palestine Journal of Mathematics, vol. 11, no. 3, pp. 504 – 518, 2022. AbstractWebsite
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Atta, A. G., W. M. Abd-Elhameed, and Y. H. Youssri, "Shifted fifth-kind Chebyshev polynomials Galerkin-based procedure for treating fractional diffusion-wave equation", International Journal of Modern Physics C, vol. 33, no. 8, 2022. AbstractWebsite
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Youssri, Y. H., W. M. Abd-Elhameed, and A. G. Atta, "Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials", Arabian Journal of Mathematics, vol. 11, no. 3, pp. 601 – 615, 2022. AbstractWebsite
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Abd-Elhameed, W. M., and Y. H. Youssri, "Spectral tau solution of the linearized time-fractional KdV-Type equations", AIMS Mathematics, vol. 7, no. 8, pp. 15138 – 15158, 2022. AbstractWebsite
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Youssri, Y. H., "Two Fibonacci operational matrix pseudo-spectral schemes for nonlinear fractional Klein-Gordon equation", International Journal of Modern Physics C, vol. 33, no. 4, 2022. AbstractWebsite
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2021
Youssri, Y. H., W. M. Abd-Elhameed, A. S. Mohamed, and S. M. Sayed, "Generalized Lucas Polynomial Sequence Treatment of Fractional Pantograph Differential Equation", International Journal of Applied and Computational Mathematics, vol. 7, no. 2, 2021. AbstractWebsite
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Abd-Elhameed, W. M., J. A. Tenreiro Machado, and Y. H. Youssri, "Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: Tau algorithm for a type of fractional delay differential equations", International Journal of Nonlinear Sciences and Numerical Simulation, 2021. AbstractWebsite
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Abd-Elhameed, W. M., and Y. H. Youssri, "Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas", Advances in Difference Equations, vol. 2021, no. 1, 2021. AbstractWebsite
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Abd-Elhameed, W. M., and Y. H. Youssri, "New formulas of the high-order derivatives of fifth-kind Chebyshev polynomials: Spectral solution of the convection–diffusion equation", Numerical Methods for Partial Differential Equations, 2021. AbstractWebsite
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Youssri, Y. H., "Orthonormal ultraspherical operational matrix algorithm for fractal–fractional riccati equation with generalized caputo derivative", Fractal and Fractional, vol. 5, no. 3, 2021. AbstractWebsite
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Youssri, Y. H., W. M. Abd-Elhameed, and M. Abdelhakem, "A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials", Mathematical Methods in the Applied Sciences, vol. 44, no. 11, pp. 9224-9236, 2021. AbstractWebsite
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Atta, A. G., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations", Applied Numerical Mathematics, vol. 167, pp. 237-256, 2021. AbstractWebsite
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Taghian, H. T., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Shifted Gegenbauer-Galerkin algorithm for hyperbolic telegraph type equation", International Journal of Modern Physics C, vol. 32, no. 9, 2021. AbstractWebsite
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Ashry, H., W. M. Abd-Elhameed, G. M. Moatimid, and Y. H. Youssri, "Spectral Treatment of One and Two Dimensional Second-Order BVPs via Certain Modified Shifted Chebyshev Polynomials", International Journal of Applied and Computational Mathematics, vol. 7, no. 6, 2021. AbstractWebsite
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Youssri, Y. H., "Two Fibonacci operational matrix pseudo-spectral schemes for nonlinear fractional Klein-Gordon equation", International Journal of Modern Physics C, 2021. AbstractWebsite
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Abdelhakem, M., and Y. H. Youssri, "Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems", Applied Numerical Mathematics, vol. 169, pp. 243-255, 2021. AbstractWebsite
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2020
Youssri, Y. H., and R. M. Hafez, "Chebyshev collocation treatment of Volterra–Fredholm integral equation with error analysis", Arabian Journal of Mathematics, vol. 9, no. 2, pp. 471-480, 2020. AbstractWebsite
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Abd-Elhameed, W. M., and Y. H. Youssri, "Connection Formulae Between Generalized Lucas Polynomials and Some Jacobi Polynomials: Application to Certain Types of Fourth-Order BVPs", International Journal of Applied and Computational Mathematics, vol. 6, no. 2, 2020. AbstractWebsite
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