An Iterative Approach for Numerical Solution to the Time-fractional Richards Equation with Implicit Neumann Boundary Conditions

Authors

  • Mustafa Zeki American University of the Middle East
  • Salih Tatar Al Faisal University

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i1.4679

Keywords:

Modeling and numerical simulation, Fractional Boundary value problems, Numerical solution., numerical simulations

Abstract

In this paper, we develop an iterative method of lines scheme for the numerical solution to the time fractional Richards equation with implicit Neumann boundary conditions, which is an effective tool for describing a process of flow through unsaturated media. A numerical example is provided to show the effectiveness of the presented method for different model parameters and inputs. The method illustrated here can be applied to other types Richards equation with various input functions and Dirichlet boundary conditions.

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Published

2023-01-29

Issue

Vol. 16 No. 1: (January 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

An Iterative Approach for Numerical Solution to the Time-fractional Richards Equation with Implicit Neumann Boundary Conditions. (2023). European Journal of Pure and Applied Mathematics, 16(1), 491-502. https://doi.org/10.29020/nybg.ejpam.v16i1.4679