Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method

DOI10.1016/j.cam.2008.10.063zbMath1166.65067OpenAlexW1969516972MaRDI QIDQ1026426

Jingtang Ma, Kaili Xiang, YingJun Jiang

Publication date: 25 June 2009

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.2008.10.063

zbMATH Keywords

integro-differential equationsfinite difference methodnumerical examplesblowupmoving mesh methodsnonlocal reaction-diffusion equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10)

Related Items

A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier, Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source, Blow-up solutions of nonlinear Volterra integro-differential equations, On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs, On the computation of blow-up solutions for nonlinear Volterra integrodifferential equations, High-order compact schemes for semilinear parabolic moving boundary problems, Convergence analysis of moving finite element methods for space fractional differential equations, High-order finite element methods for time-fractional partial differential equations, Moving collocation methods for time fractional differential equations and simulation of blowup, Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem, A moving mesh method for singularly perturbed problems, A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources, Moving collocation method for a reaction-diffusion equation with a traveling heat source

Uses Software

• DASSL
• MOVCOL4

Cites Work

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