Fourth-, Fifth-, Sixth-Order Linear Differential Equations (LDEs) via Homotopy Perturbation Method Using Laplace Transform

摘要

In this article, we construct the solution of fourth-, fifth-, and sixth-order boundary value problems. To solve these boundary value problems, we apply the homotopy perturbation method (HPM) using Laplace transform (LT). The proposed method is easy, effective, and the accuracy of this method has been proved by comparing the results with homotopy perturbation method (HPM), variational iterative method (VIM), Adomian decomposition method (ADM), and exact solutions by using Mathematica package. The results obtained by this LT-HPM have been shown in tables and graphs.