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Uniform numerical approximation for parameter dependent singularly perturbed problem with integral boundary condition
- Source :
- Miskolc Mathematical Notes. 19:337
- Publication Year :
- 2018
- Publisher :
- Mathematical Notes, 2018.
-
Abstract
- WOS: 000441460300026 In this paper, a parameter-uniform numerical method for a parameterized singularly perturbed ordinary differential equation containing integral boundary condition is studied. Asymptotic estimates on the solution and its derivatives are derived. A numerical algorithm based on upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error estimate for the numerical solution is established. Numerical results are presented, which illustrate the theoretical results.
- Subjects :
- integral boundary condition
Numerical Analysis
Control and Optimization
Algebra and Number Theory
Mathematical analysis
010103 numerical & computational mathematics
uniform convergence
Shiskin mesh
01 natural sciences
010101 applied mathematics
Numerical approximation
Discrete Mathematics and Combinatorics
Boundary value problem
0101 mathematics
singular perturbation
finite difference scheme
Analysis
Parameter dependent
parameterized problem
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....8e3ebc2594c99ea294c3483221126772