Uniform fourth order difference scheme for a singular perturbation problem
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Publication:1118364
DOI10.1007/BF01405196zbMath0668.65060MaRDI QIDQ1118364
Publication date: 1990
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133421
uniform convergencenumerical examplesdifference schemenonlinear singularly perturbed two-point boundary value problem
Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)
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Cites Work
- Inverse monotonicity and difference schemes of higher order. A summary for two-point boundary value problems
- On a circle placement problem
- Adaptive Runge-Kutta methods for nonlinear two-point boundary value problems with mild boundary layers
- Comparing routines for the numerical solution of initial value problems of ordinary differential equations in multiple shooting
- Nonlinear singular perturbation phenomena: theory and applications
- The Close Relationships between Methods for Solving Two-Point Boundary Value Problems
- An Adaptive Finite Difference Solver for Nonlinear Two-Point Boundary Problems with Mild Boundary Layers
- On a Differential Equation of Boundary Layer Type
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