Jacobi Collocation Technique to Solve Nonlinear Reaction-Diffusion Equation

DOI10.1080/15502287.2021.1916691MaRDI QIDQ6574358

Ramu Dubey, Shubham Jaiswal, Anoop Kumar Tiwari, S. Das

Publication date: 18 July 2024

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Physiological, cellular and medical topics (92Cxx)

Cites Work

• Title not available (Why is that?)
• Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity
• A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
• A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
• A new Jacobi operational matrix: an application for solving fractional differential equations
• A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
• Traveling wave fronts for generalized Fisher equations with spatio-temporal delays
• The variational iteration method: a powerful scheme for handling linear and nonlinear diffusion equations
• Solution of the porous media equation by Adomian's decomposition method
• Solution of the porous media equation by a compact finite difference method
• Fisher-KPP with time dependent diffusion is able to model cell-sheet activated and inhibited wound closure
• Travelling waves in a wound healing assay.
• Exact solutions to nonlinear diffusion equations obtained by the decomposition method
• Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients
• Flow control of fluids through porous media
• A class of compact boundary value methods applied to semi-linear reaction-diffusion equations
• Nonlinear diffusion equation with reaction terms: analytical and numerical results
• Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations
• On the group classification of variable-coefficient nonlinear diffusion--convection equations
• Bifurcation diagrams of population models with nonlinear diffusion
• The wave of advance of advantageous genes.
• A Higher Order Numerical Scheme for Some Nonlinear Differential Equations: Models in Biology
• Introduction to Theoretical Neurobiology
• Travelling wave behaviour for a Porous-Fisher equation
• A robust numerical scheme for the simulation of nonlinear convection–diffusion–reaction equation
• A new high accuracy off-step cubic spline approximations on a quasi-variable mesh for the system of nonlinear parabolic equations in one space dimension

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