This article proposes non-linearities distribution Laplace transform-homotopy perturbation method (NDLT-HPM) to find approximate solutions for linear and nonlinear differential equations with finite boundary conditions. We will see that the method is particularly relevant in case of equations with nonhomogeneous non-polynomial terms. Comparing figures between approximate and exact solutions we show the effectiveness of the proposed method.
Keywords: Approximate solutions; Finite boundary conditions; Homotopy perturbation method; Laplace transform; Laplace transform homotopy perturbation method; Nonlinear differential equation.