Numerical methods for partial differential equations and their applications in sol...
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Santa Cruz, Ilheus, BA - Brazil
[2] Univ Sao Paulo, ICMC, Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | BIT NUMERICAL MATHEMATICS; v. 50, n. 3, p. 657-688, SEP 2010. |
| Web of Science Citations: | 0 |
| Abstract | |
This paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into an integral equation, and then applying a collocation method to solve the latter. The collocation points are chosen as the Chebyshev nodes. Uniform convergence of the resulting method is then discussed. Numerical examples are presented and solved by the numerical techniques. (AU) | |
| FAPESP's process: | 04/16064-9 - Mechanics of non-stationary fluids: applications in aeronautics and rheology |
| Grantee: | José Alberto Cuminato |
| Support type: | Research Projects - Thematic Grants |