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 hyperbolic partial differential equations (PDEs) subject initial boundary conditions integral type, the homotopy perturbation method (HPM) is utilized in this study. The HPM used solve specified IBVPs, which are then transformed into local Dirichlet IBVPs. Some examples demonstrate how accurate efficient HPM.