Quantum mechanics

Engineering

Ecology

Biology

Statistics

Pollution

Applied mathematics

Science and engineering

Computer science

Mathematical optimization

Environmental engineering

Thermodynamics

Physics

Nonlinear system

Diffusion

Mathematics

Value (mathematics)

Environmental science

Mathematical analysis

Numerical analysis

Machine learning

Oil pollution

Engineering ethics

Journal of Ocean Engineering and Science

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.

Analytic approximate solutions of diffusion equations arising in oil pollution