Analytic approximate solutions of diffusion equations arising in oil pollution

Abstract

In this article, modified versions of variational iteration algorithms are presented for the numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to demonstrate the applicability and validity of the proposed algorithms. The obtained results are compared with the existing solutions, which reveal that the proposed methods are very effective and can be used for other nonlinear initial value problems arising in science and engineering.

Keywords

• Modified variational iteration algorithm-II
• Diffusion equation
• Allen-Cahn equation
• Parabolic equation
• MVIA-I