A comparison of some global methods for solving two-point boundary value problems

DOI10.1016/0096-3003(89)90133-1zbMath0675.65075OpenAlexW4231356528MaRDI QIDQ1122332

Jeff R. Cash

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90133-1

zbMATH Keywords

collocation methodstiff problemsglobal methodsnumerical comparisonmono-implicit Runge-Kutta formulaedeferred correction methodCOLSYScomparison of complex codesHAGRONPASVA 3

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items

Algebraic conditions for high-order convergent deferred correction schemes based on Runge-Kutta-Nyström methods for second order boundary value problems ⋮ Implementation issues in solving nonlinear equations for two-point boundary value problems ⋮ Exponentially fitted spline in compression for the numerical solution of singular perturbation problems ⋮ Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs ⋮ Discrete Petrov-Galerkin scheme for boundary value differential and integral problems: Theory and applications ⋮ Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Uses Software

• COLSYS