Traveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes

DOI10.1016/J.CHAOS.2020.109881zbMath1490.35025OpenAlexW3034600155MaRDI QIDQ2122855

Tahir Cosgun, Murat Sari

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.109881

zbMATH Keywords

stability analysisevolution equationstraveling wavessingularly perturbed problems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Traveling wave solutions (35C07)

Uses Software

• Unnamed Item

Cites Work

• \(2N\) order compact finite difference scheme with collocation method for solving the generalized Burger's-Huxley and Burger's-Fisher equations
• A numerical study of singularly perturbed generalized Burgers-Huxley equation using three-step Taylor-Galerkin method
• Strang splitting method for Burgers-Huxley equation
• Haar wavelet method for solving generalized Burgers-Huxley equation
• The homotopy analysis method to solve the Burgers-Huxley equation
• Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations
• A computational meshless method for the generalized Burger's-Huxley equation
• Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method
• Singularly perturbed problems in partial differential equations: A survey
• A modified Chebyshev pseudospectral DD algorithm for the GBH equation
• A uniformly convergent numerical method on non-uniform mesh for singularly perturbed unsteady Burgers-Huxley equation
• Travelling wave solutions for the generalized Burgers-Huxley equation
• Nonlinear Partial Differential Equations for Scientists and Engineers
• Solitary wave solutions of the generalised Burgers-Huxley equation
• Singular Perturbation Analysis of Boundary Value Problems for Differential-Difference Equations III. Turning Point Problems

This page was built for publication: Traveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes