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Details van artikel 36 van 211 gevonden artikelen
| Titel: |
An Efficient Double Legendre Spectral Method for Parabolic and Elliptic Partial Differential Equations |
| Auteur: |
Doha, E. H. Al-Kholi, F. M. R. |
| Verschenen in: |
International journal of computer mathematics |
| Paginering: | Jaargang 78 (2001) nr. 3 pagina's 413-432 |
| Jaar: |
2001 |
| Inhoud: |
We present a double Legendre spectral methods that allow the efficient approximate solution for the parabolic partial differential equations in a square subject to the most general inhomo-geneous mixed boundary conditions. The differential equations with their boundary and initial conditions are reduced to systems of ordinary differential equations for the time-dependent expansion coefficients. These systems are greatly simplified by using tensor matrix algebra, and are solved by using the step-by-step method. One numerical application of how to use these methods is described. Numerical results obtained compare favorably with those of the analytical solution. Accurate double Legendre spectral approximations for Poisson' and Helmholtz' equations are also noted. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 36 van 211 gevonden artikelen
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