Results 201 to 210 of about 3,143,040 (244)
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Shifted fifth-kind Chebyshev polynomials Galerkin-based procedure for treating fractional diffusion-wave equation

International Journal of Modern Physics C, 2022
Herein, we propose new efficient spectral algorithms for handling the fractional diffusion wave equation (FDWE) and fractional diffusion wave equation with damping (FDWED).
A. Atta   +2 more
semanticscholar   +1 more source

An application of Chebyshev wavelet method for the nonlinear time fractional Schrödinger equation

Mathematical methods in the applied sciences, 2022
In the present manuscript, we will deal with time fractional Schrödinger equation having appropriate initial and boundary conditions with Chebyshev wavelet method numerically.
G. Esra Köse, Ö. Oruç, A. Esen
semanticscholar   +1 more source

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
This paper is dedicated to deriving novel formulae for the high‐order derivatives of Chebyshev polynomials of the fifth‐kind. The high‐order derivatives of these polynomials are expressed in terms of their original polynomials.
W. Abd-Elhameed, Youssri Hassan Youssri
semanticscholar   +1 more source

A new efficient algorithm based on fifth-kind Chebyshev polynomials for solving multi-term variable-order time-fractional diffusion-wave equation

International Journal of Computational Mathematics, 2021
An algorithm based on a class of the Chebyshev polynomials family called the fifth-kind Chebyshev polynomials (FCPs) is introduced to solve the multi-term variable-order time-fractional diffusion-wave equation (MVTFD-WE).
K. Sadri, H. Aminikhah
semanticscholar   +1 more source

The Chebyshev collocation method for a class of time fractional convection‐diffusion equation with variable coefficients

Mathematical methods in the applied sciences, 2021
In this paper, an efficient and accurate computational scheme based on the Chebyshev collocation method and finite difference approximation is proposed to solve the time‐fractional convection‐diffusion equation (TFCDE) on a finite domain.
Vijay Saw, S. Kumar
semanticscholar   +1 more source

Discrete Chebyshev polynomials for nonsingular variable‐order fractional KdV Burgers' equation

Mathematical methods in the applied sciences, 2020
In this article, nonlinear variable‐order (VO) fractional Korteweg‐de Vries (KdV) Burgers' equation with nonsingular VO time fractional derivative is introduced and discussed. The approximate solution of the expressed problem is obtained in the form of a
M. Heydari, Z. Avazzadeh, C. Cattani
semanticscholar   +1 more source

Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method

Numerical Methods for Partial Differential Equations, 2020
In this article, we will study the fuzzy fractional advection diffusion model in which both space and time are fractional. This model has fuzzy unknown function, fuzzy coefficient and fuzzy numbers.
Sachin Kumar
semanticscholar   +1 more source

Nonlinear Differential Equation Solvers via Adaptive Picard–Chebyshev Iteration: Applications in Astrodynamics

Journal of Guidance Control and Dynamics, 2019
An adaptive self-tuning Picard–Chebyshev numerical integration method is presented for solving initial and boundary value problems by considering high-fidelity perturbed two-body dynamics.
R. Woollands, J. Junkins
semanticscholar   +1 more source

A numerical study by using the Chebyshev collocation method for a problem of biological invasion: Fractional Fisher equation

International Journal of Biomathematics, 2018
In this paper, an efficient numerical method is introduced for solving the fractional (Caputo sense) Fisher equation. We use the spectral collocation method which is based upon Chebyshev approximations.
M. Khader, K. Saad
semanticscholar   +1 more source

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