Analytical Solution of One-Dimensional Keller-Segel Equations via New Homotopy Perturbation Method
Ali Slimani,
Sadek Lakhlifa,
Amar Guesmia
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 app… Show more
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