A comparison between MMAE and SCEM for solving singularly perturbed linear boundary layer problems
| Autor: | Süleyman Cengizci |
|---|---|
| Přispěvatelé: | Cengizci, Süleyman, 215405 [Cengizci, Süleyman] |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Matching (graph theory)
General Mathematics Düzgün geçerli yaklaşım Contrast (statistics) Tekil düzensizlik Numerical Analysis (math.NA) Ardışık tamamlayıcı genişletme yöntemi Method of matched asymptotic expansions Successive complementary expansion method Key point Boundary layer Robustness (computer science) Present method Sınır tabakası FOS: Mathematics Applied mathematics Mathematics - Numerical Analysis Boundary value problem Singular perturbation Uniformly valid approximation Mathematics |
| DOI: | 10.2298/FIL1907135C |
| Popis: | In this study, we propose an efficient method so-called Successive Complementary Expansion Method (SCEM), that is based on generalized asymptotic expansions, for approximating to the solutions of singularly perturbed two-point boundary value problems. In this easy-applicable asymptotic method, in contrast to the well-known method the Method of Matched Asymptotic Expansions (MMAE), the matching process is not necessary to obtain uniformly valid approximations. The key point: A uniformly valid approximation is adopted first, and complementary functions are obtained imposing the corresponding boundary conditions. An illustrative and two numerical experiments are provided to show the implementation and numerical properties of the present method. Furthermore, MMAE results are also given in order to compare the numerical robustness of the methods. Numerical results and the comparisons demonstrate absolute superiority of SCEM over MMAE for linear problems. Comment: 3 Tables, 8 Figures |
| Databáze: | OpenAIRE |
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