Optimal solution of the nonlinear time fractional diffusion-wave equation using generalized Laguerre polynomials

Articles in Press

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran.

2 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

Abstract

Determining the numerical solutions of a nonlinear fractional differential equation has been of interest for a long time. In this study, by choosing the appropriate basis functions according to the linear combination of generalized Laguerre polynomials (GLPs), we investigate the optimization method with Lagrange coefficients for approximating the solution in combination with the derivative operation matrices. Achieving the exact solution while using less basic functions is one of the prominent features of this method. This feature and high accuracy make the use of this method inevitable. In the end, we examine the application of the mentioned method in determining the approximate solution of the nonlinear time fractional diffusion-wave equation for different values of Alfa.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 11 August 2025

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History

  • Receive Date: 15 March 2025
  • Revise Date: 30 June 2025
  • Accept Date: 10 August 2025

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