On the numerical solution of a class of singular two-point boundary value problems

DOI10.1016/0377-0427(93)90267-FzbMath0782.65101MaRDI QIDQ688026

H. H. M. Silva, Jeff R. Cash

Publication date: 28 November 1993

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

zbMATH Keywords

nonlinear two-point boundary value problemsfirst-order systemsdeferred correctionNumerical resultsmono-implicit Runge-Kutta formulaesingularities of the first kind

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Runge-Kutta methods for the solution of stiff two-point boundary value problems

Uses Software

• COLNEW
• COLSYS

Cites Work

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• High order methods for the numerical solution of two-point boundary value problems
• A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation
• A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
• On the Numerical Integration of Nonlinear Two-Point Boundary Value Problems Using Iterated Deferred Corrections. Part 2: The Development and Analysis of Highly Stable Deferred Correction Formulae
• Collocation Software for Boundary-Value ODEs
• Mono-implicit Runge—Kutta Formulae for the Numerical Integration of Stiff Differential Systems
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections
• A Collocation Solver for Mixed Order Systems of Boundary Value Problems
• Numerical integration of non-linear two-point boundary-value problems using iterated deferred corrections—I

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