Order-increasing grid adaption for Runge-Kutta methods applied to two- point boundary value problems

DOI10.1016/0898-1221(94)90055-8zbMath0792.65058OpenAlexW2011146344MaRDI QIDQ1324327

W. L. Golik

Publication date: 31 July 1994

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

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90055-8

zbMATH Keywords

systemsboundary layersfully nonlinear problemsdefect correctionfinite difference schemesirregular gridsnonuniform meshgrid adaptionRunge- Kutta methodstwo- point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (1)

Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution

Uses Software

• COLNEW

Cites Work

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• Mesh selection for discrete solution of boundary problems in ordinary differential equations
• Campylotropic coordinates
• A superconvergent scheme on irregular grids for systems of two-point boundary value problems
• Numerical Solution of Boundary Value Problems Using Nonuniform Grids
• Grading Functions and Mesh Redistribution
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
• On Selection of Equidistributing Meshes for Two-Point Boundary-Value Problems

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