Solution of boundary-value problems by orthogonal collocation
| Autor: | J.V. Villadsen, Warren E. Stewart |
|---|---|
| Rok vydání: | 1995 |
| Předmět: |
Collocation
Applied Mathematics General Chemical Engineering Mathematical analysis General Chemistry Parabolic partial differential equation Industrial and Manufacturing Engineering Elliptic partial differential equation Orthogonality Collocation method Orthogonal collocation Boundary value problem Spectral method Mathematics |
| Zdroj: | Chemical Engineering Science. 50:3981-3996 |
| ISSN: | 0009-2509 |
| DOI: | 10.1016/0009-2509(96)81831-8 |
| Popis: | New collocation methods are given for solving symmetrical boundary-value problems. Orthogonality conditions are used to select the collocation points. The accuracy obtained is comparable to that of least squares or variational methods and the calculations are simpler. Applications are given to one-dimensional eigenvalue problems and to parabolic and elliptic partial differential equations, encountered in problems of viscous flow, heat transfer and diffusion with chemical reaction. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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