Some Algebraic Approach for the Second Painlevé Equation Using the Optimal Homotopy Asymptotic Method (OHAM)
| Autor: | D. Sierra-Porta |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Numerical Analysis
Homotopy Numerical analysis 010102 general mathematics Field (mathematics) 01 natural sciences Simple (abstract algebra) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0103 physical sciences Applied mathematics 0101 mathematics Algebraic expression Algebraic number 010306 general physics Mathematics |
| Zdroj: | Numerical Analysis and Applications. 11:170-177 |
| ISSN: | 1995-4247 1995-4239 |
| DOI: | 10.1134/s1995423918020076 |
| Popis: | The study of Painleve equations has increased during the last years, due to the awareness that these equations and their solutions can accomplish good results both in the field of pure mathematics and in theoretical physics. In this paper we introduced the optimal homotopy asymptotic method (OHAM) approach to propose analytic approximate solutions to the second Painleve equation. The advantage of this method is that it provides a simple algebraic expression that can be used for further developments while maintaining good performance and fitting closely the numerical solution. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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