The Homotopy Perturbation Method for Solving Nonlocal Initial-Boundary Value Problems for Parabolic and Hyperbolic Partial Differential Equations

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4794

Keywords:

Nonlocal IBVPs, Parabolic PDEs, Hyperbolic PDE, He's polynomials, HPM

Abstract

To obtain approximate-exact solutions to nonlocal initial-boundary value problems (IBVPs) of linear and nonlinear parabolic and hyperbolic partial differential equations (PDEs) subject to initial and nonlocal boundary conditions of integral type, the homotopy perturbation method (HPM) is utilized in this study. The HPM is used to solve the specified nonlocal IBVPs, which are then transformed into local Dirichlet IBVPs. Some examples demonstrate how accurate and efficient the HPM.

 

Author Biography

Mahasin Thabet Younis, Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Iraq.

 

 

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Published

2023-07-30

How to Cite

Al-Hayani, W. M., & Younis, M. T. (2023). The Homotopy Perturbation Method for Solving Nonlocal Initial-Boundary Value Problems for Parabolic and Hyperbolic Partial Differential Equations. European Journal of Pure and Applied Mathematics, 16(3), 1552–1567. https://doi.org/10.29020/nybg.ejpam.v16i3.4794

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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