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- Title
Fitted numerical method for singularly perturbed semilinear three-point boundary value problem.
- Authors
Gebeyehu, M.; Garoma, H.; Deressa, A.
- Abstract
We consider a class of singularly perturbed semilinear three-point boundary value problems. An accelerated uniformly convergent numerical method is constructed via the exponential fitted operator method using Richardson extrapolation techniques to solve the problem. To treat the semilinear term, we use quasi-linearization techniques. The numerical results are tabulated in terms of maximum absolute errors and rate of convergence, and it is observed that the present method is more accurate and ε-uniformly convergent for h ≥ ε, where the classical numerical methods fail to give a good result. It also improves the results of the methods existing in the literature. The method is shown to be second-order convergent independent of perturbation parameter ε.
- Subjects
BOUNDARY value problems; RICHARDSON extrapolation; SINGULAR perturbations; DIFFERENTIAL equations; MATHEMATICAL models
- Publication
Iranian Journal of Numerical Analysis & Optimization, 2022, Vol 12, Issue 1, p145
- ISSN
2423-6977
- Publication type
Article
- DOI
10.22067/ijnao.2021.70805.1040