A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources

DOI10.1016/j.cam.2010.04.033zbMath1196.65150OpenAlexW2052055455MaRDI QIDQ989140

Hancan Zhu, Kewei Liang, Xiao-liang Cheng

Publication date: 27 August 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.04.033

zbMATH Keywords

numerical resultsfinite difference methodblow-upreaction-diffusion equationmoving mesh methodtraveling heat sources

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

Moving mesh method for problems with blow-up on unbounded domains ⋮ Numerical investigation of heat conduction with multiple moving heat sources ⋮ Moving collocation method for a reaction-diffusion equation with a traveling heat source

Cites Work

• Precise computations of chemotactic collapse using moving mesh methods
• Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source
• A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
• Efficient computation of dendritic growth with \(r\)-adaptive finite element methods
• Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method
• Blowup in diffusion equations: A survey
• Moving mesh methods based on moving mesh partial differential equations
• \(r\)-refinement for evolutionary PDEs with finite elements or finite differences
• Blow-up in a reactive-diffusive medium with a moving heat source
• The influence of two moving heat sources on blow-up in a reactive-diffusive medium
• A moving mesh method with variable mesh relaxation time
• The numerical approximation of a delta function with application to level set methods
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman--Rachford Splitting
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Moving Mesh Methods for Problems with Blow-Up
• Scaling invariance and adaptivity
• Unnamed Item
• Unnamed Item

This page was built for publication: A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources