Continuous finite difference approximations for solving differential equations

DOI10.1080/00207169908804831zbMath0940.65077OpenAlexW1985923863MaRDI QIDQ4702120

U. W. Sirisena, P. Onumanyi, Samuel N. Jator

Publication date: 19 December 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804831

zbMATH Keywords

error estimatesnumerical examplesboundary value problemscontinuous finite difference approximations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes
• One-Step Collocation: Uniform Superconvergence, Predictor-Corrector Method, Local Error Estimate
• The Convergence of Integrand-Approximation Formulas for the Numerical Solution of IVP<scp>s</scp> for ODE<scp>s</scp>
• An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
• Unnamed Item

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