An explicit, adaptive grid algorithm for one-dimensional initial value problems

DOI10.1016/S0168-9274(97)00076-7zbMath0890.65089OpenAlexW2058772145MaRDI QIDQ1379056

Kevin R. Farrell, Luke O. C. Drury

Publication date: 23 June 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00076-7

zbMATH Keywords

evolution equationnumerical examplesadaptive gridsmonitor functionadaptive grid method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method ⋮ A moving mesh method for the solution of the one-dimensional phase-field equations

Cites Work

• Adaptive mesh techniques for fronts in star formation
• Simple adaptive grids for 1-D initial value problems