Higher order discretization methods for \(y=f(x,y,y')\)

DOI10.1016/0022-247X(88)90122-9zbMath0664.65079MaRDI QIDQ1115122

John Gregory, Tejandra Sarker, Marvin Zeman

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplesB-splineshigh order discretizationGlobal error analysis

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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• Spline solutions for nonlinear two point boundary value problems
• Quadratic form theory and differential equations
• Galerkin approximations for the two point boundary problem using continuous, piecewise polynomial spaces
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Spline Matrices and Their Applications to Some Higher Order Methods for Boundary Value Problems
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
• An Optimal $L_\infty $ Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems

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