Modelling the movement of groundwater pollution with variable order derivative

The Journal of Nonlinear Sciences and its Applications

S. N.Kameni¹  J. D.Djida¹  A.Atangana² 

[1] African Institute for Mathematical Sciences (AIMS), P. O. Box 608, Limbe Crystal Gardens, South West Region, Cameroon;Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9301, Bloemfontein, South Africa

关键词: New variable order derivative;    advection-dispersion equation with variable order;    stability;    convergence;    finite difference scheme;   

DOI  :  10.22436/jnsa.010.10.26

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, a new concept of variable differentiation is used to revisit the model of groundwater pollution. The new variable order derivation has a non-singular kernel and can be used for analytical and numerical purposes. The novel model is solved via Fourier transform method. We solve numerically the new equation using the implicit finite difference scheme and study the stability and convergence of that scheme.

【 授权许可】

Unknown