On the convergence of finite difference schemes for the heat equation with concentrated capacity |
| |
| Authors: | B.S. Jovanovic L.G. Vulkov |
| |
| Affiliation: | (1) University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Yugoslavia; e-mail: bosko@matf.bg.ac.yu , YU;(2) University of Rousse, Department of Applied Mathematics and Informatics, Studentska str. 8, 7017 Rousse, Bulgaria; e-mail: vulkov@ami.ru.acad.bg , BG |
| |
| Abstract: | Summary. We investigate the convergence of difference schemes for the one-dimensional heat equation when the coefficient at the time derivative (heat capacity) is represents the magnitude of the heat capacity concentrated at the point . An abstract operator method is developed for analyzing this equation. Estimates for the rate of convergence in special discrete energetic Sobolev's norms, compatible with the smoothness of the solution are obtained. Received November 2, 1999 / Revised version received July 24, 2000 / Published online May 4, 2001 |
| |
| Keywords: | Mathematics Subject Classification (1991): 65M06 65M12 65M15 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
