Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers

DOI10.1016/0898-1221(85)90043-4zbMath0579.65079OpenAlexW2000484261WikidataQ127814517 ScholiaQ127814517MaRDI QIDQ1067370

Jeff R. Cash

Publication date: 1985

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(85)90043-4

zbMATH Keywords

finite difference methodsstiff problemsrefinementlarge systemsadaptive meshnon-uniform meshesComparisonsimplicit Runge-Kutta formulasglobal truncation errorPASVA3 code

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Uniform fourth order difference scheme for a singular perturbation problem, A stability criterion for explicit boundary value Runge-Kutta methods, Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes, Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I

Uses Software

• COLSYS

Cites Work

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