Laguerre-Gauss collocation method for initial value problems of second order ODEs
| Autor: | Jian-ping Yan, Ben-Yu Guo |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Partial differential equation
Applied Mathematics Mechanical Engineering Gauss Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Ode Mechanics of Materials Collocation method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Laguerre polynomials Orthogonal collocation Initial value problem Interpolation Mathematics |
| Zdroj: | Applied Mathematics and Mechanics. 32:1541-1564 |
| ISSN: | 1573-2754 0253-4827 |
| DOI: | 10.1007/s10483-011-1522-x |
| Popis: | This paper proposes a new collocation method for initial value problems of second order ODEs based on the Laguerre-Gauss interpolation. It provides the global numerical solutions and possesses the spectral accuracy. Numerical results demonstrate its high efficiency. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|