Analytical Solution of One-Dimensional Keller-Segel Equations via New Homotopy Perturbation Method
-
Published:2024-03-21
Issue:
Volume:
Page:1103-1119
-
ISSN:2705-1056
-
Container-title:Contemporary Mathematics
-
language:
-
Short-container-title:Contemp. Math.
Author:
Slimani AliORCID,
Lakhlifa SadekORCID,
Guesmia AmarORCID
Abstract
For solving a system of nonlinear partial differential equations (PDE) emerging in an attractor one-dimensional chemotaxis model, we used a relatively new analytical method called the new modified homotopy perturbation method (NMHPM). We use NMHPM for solving one-dimensional Keller-Segel models for different types. Some properties show biologically acceptable dependency on parameter values, and numerical solutions are provided. NMHPM’s stability and reduced computing time provide it with a broader range of applications. The algorithm provides analytical approximations for different types of Keller-Segel equations. Some numerical illustrations are given to show the efficiency of the algorithm.
Publisher
Universal Wiser Publisher Pte. Ltd