Analytic approximate solutions of diffusion equations arising in oil pollution

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. (c) 2020 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license. ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

Automated summary

Modified versions of variational iteration algorithms are introduced for numerical simulation of oil pollution diffusion in this article, with three numerical examples provided to demonstrate their applicability and validity. The comparison with existing solutions shows the effectiveness of the proposed methods, which can be applied to other nonlinear initial value problems in science and engineering.