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

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...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 16; no. 3; pp. 1552 - 1567
Main Authors Al-Hayani, Waleed Mohammed, Younis, Mahasin Thabet
Format Journal Article
LanguageEnglish
Published 01.07.2023
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Summary: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.  
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v16i3.4794