A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations
A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/560567 |
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| _version_ | 1832550069011742720 |
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| author | Wei Gu Peng Wang |
| author_facet | Wei Gu Peng Wang |
| author_sort | Wei Gu |
| collection | DOAJ |
| description | A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provided to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-618ba6b5705d45fe9705a69795cb5138 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-618ba6b5705d45fe9705a69795cb51382025-02-03T06:07:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/560567560567A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential EquationsWei Gu0Peng Wang1School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSchool of Mathematics, Jilin University, Changchun 130012, ChinaA linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations. The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time. A numerical test is provided to illustrate the theoretical results.http://dx.doi.org/10.1155/2014/560567 |
| spellingShingle | Wei Gu Peng Wang A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations Journal of Applied Mathematics |
| title | A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations |
| title_full | A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations |
| title_fullStr | A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations |
| title_full_unstemmed | A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations |
| title_short | A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations |
| title_sort | crank nicolson difference scheme for solving a type of variable coefficient delay partial differential equations |
| url | http://dx.doi.org/10.1155/2014/560567 |
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