Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals

Abstract

This article proposes Laplace transform-homotopy perturbation method (LT-HPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions. After comparing figures between approximate and exact solutions, we will see that the proposed solutions are of high accuracy and, therefore, that LT-HPM is extremely efficient.