Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source

DOI10.1016/j.jcp.2009.06.008zbMath1175.65097OpenAlexW2047278184MaRDI QIDQ843448

Jingtang Ma, YingJun Jiang

Publication date: 12 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.06.008

zbMATH Keywords

convergencenumerical experimentsblowupreaction-diffusion equationsmoving mesh methodstraveling heat source

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

A high-order compact LOD method for solving the three-dimensional reaction-diffusion equation with nonlinear reaction term ⋮ Convergence analysis of moving finite element methods for space fractional differential equations ⋮ A moving mesh method for singularly perturbed problems ⋮ A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources ⋮ Heat conduction simulation of 2D moving heat source problems using a moving mesh method ⋮ Numerical investigation of heat conduction with multiple moving heat sources ⋮ Moving collocation method for a reaction-diffusion equation with a traveling heat source

Uses Software

• DASSL
• MOVCOL4

Cites Work

• Precise computations of chemotactic collapse using moving mesh methods
• A study of moving mesh PDE methods for numerical simulation of blowup in reaction diffusion equations
• Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method
• Blowup in diffusion equations: A survey
• Critical speed for the avoidance of blow-up in a reactive-diffusive medium
• 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
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Moving Mesh Methods for Problems with Blow-Up
• MOVCOL4: A Moving Mesh Code for Fourth‐Order Time‐Dependent Partial Differential Equations
• Scaling invariance and adaptivity
• Mesh selection for a nearly singular boundary value problem

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