Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations

Abstract

In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II.

Keywords

• modified variational iteration algorithm-ii
• newell–whitehead equation
• fisher equations
• allen-cahn equation
• mvia-i