High order multiplication perturbation method for singular perturbation problems
| Autor: | Wen-zhi Zhang, Pei-yan Huang |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Singular perturbation
Applied Mathematics Mechanical Engineering Mathematical analysis Method of matched asymptotic expansions Poincaré–Lindstedt method symbols.namesake Nonlinear system Mechanics of Materials Ordinary differential equation symbols Initial value problem Multiplication Boundary value problem Mathematics |
| Zdroj: | Applied Mathematics and Mechanics. 34:1383-1392 |
| ISSN: | 1573-2754 0253-4827 |
| Popis: | This paper presents a high order multiplication perturbation method for singularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary differential equations (ODEs) are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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