Development of an algorithm based on space refinement to solve a system of parabolic PDE's

DOI10.1016/J.AMC.2003.12.077zbMath1061.65087OpenAlexW2055616416MaRDI QIDQ1764747

Raquel P. F. Guiné

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.077

zbMATH Keywords

algorithmnumerical exampleerror boundMethod of linesSpace refinementsystems of nonlinear parabolic partial differential equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Chemically reacting flows (80A32) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Uses Software

• DDASAC
• PDASAC

Cites Work

• On simple moving grid methods for one-dimensional evolutionary partial differential equations
• Unnamed Item

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