A second order accurate difference scheme for the heat equation with concentrated capacity |
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| Authors: | Email author" target="_blank">Zhi-zhong?SunEmail author You-lan?Zhu |
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| Institution: | (1) Department of Applied Mathematics, Southeast University, Nanjing, 210096 Jiangsu Province, P.R. China;(2) Department of Mathematics, UNC at Charlotte, Charlotte, NC, USA |
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| Abstract: | Summary. A numerical solution to the one-dimensional heat equation with concentrated capacity is considered. A second-order accurate difference scheme is derived by the method of reduction of order on non-uniform meshes. The solvability, stability and second order L convergence are proved. A numerical example demonstrates the theoretical results.Mathematics Subject Classification (2000): Primary 65M06, 65M12, 65M15The contract grant sponsor: National Natural Science Foundation of CHINA; The contract grant number:19801007 |
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