On fictitious domain method for the numerical solution to heat conduction equation with derivative boundary conditions
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| Titel: | On fictitious domain method for the numerical solution to heat conduction equation with derivative boundary conditions |
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| Autoren: | Sun, Zhizhong |
| Verlagsinformationen: | Southeast University, Nanjing |
| Schlagwörter: | Finite difference methods for initial value and initial-boundary value problems involving PDEs, Heat and mass transfer, heat flow, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| Beschreibung: | Summary: We investigate the stability and convergence of some known difference schemes for the numerical solution of the heat conduction equation with derivative boundary conditions by the fictitious domain method. The discrete variables at the false mesh points are first eliminated from the difference schemes and the local truncation errors are then analyzed in detail. The stability and convergence of the schemes are proved by the energy method. An improvement is proposed to obtain better schemes than the original ones. Several numerical examples and comparisons with other schemes are presented. |
| Publikationsart: | Article |
| Dateibeschreibung: | application/xml |
| Zugangs-URL: | https://zbmath.org/1782214 |
| Dokumentencode: | edsair.c2b0b933574d..7ad47ed9080fe9af2ab5ea946402a8c3 |
| Datenbank: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | Summary: We investigate the stability and convergence of some known difference schemes for the numerical solution of the heat conduction equation with derivative boundary conditions by the fictitious domain method. The discrete variables at the false mesh points are first eliminated from the difference schemes and the local truncation errors are then analyzed in detail. The stability and convergence of the schemes are proved by the energy method. An improvement is proposed to obtain better schemes than the original ones. Several numerical examples and comparisons with other schemes are presented. |
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