11 research outputs found
Homotopy analysis method for solving nonlinear diffusion equation with convection term
Erratum to: A novel analytical solution for the modified Kawahara equation using the residual power series method
Approximate solutions for solving the Klein–Gordon and sine-Gordon equations
AbstractIn this paper, we practiced relatively new, analytical method known as the variational homotopy perturbation method for solving Klein–Gordon and sine-Gordon equations. To present the present method’s effectiveness many examples are given. In this study, we compare numerical results with the exact solutions, the Adomian decomposition method (ADM), the variational iteration method (VIM), homotopy perturbation method (HPM), modified Adomian decomposition method (MADM), and differential transform method (DTM). The results reveal that the VHPM is very effective
