A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay
A linearized compact difference scheme is provided for a class of variable coefficient parabolic systems with delay. The unique solvability, unconditional stability, and convergence of the difference scheme are proved, where the convergence order is four in space and two in time. A numerical test is...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/810352 |
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| _version_ | 1832550621956276224 |
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| author | Wei Gu |
| author_facet | Wei Gu |
| author_sort | Wei Gu |
| collection | DOAJ |
| description | A linearized compact difference scheme is provided for a class of variable coefficient parabolic systems with delay. The unique solvability, unconditional stability, and convergence of the difference scheme are proved, where the convergence order is four in space and two in time. A numerical test is presented to illustrate the theoretical results. |
| format | Article |
| id | doaj-art-5cba7281a0ae4c1b85ff3e67918594ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5cba7281a0ae4c1b85ff3e67918594ac2025-02-03T06:06:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/810352810352A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with DelayWei Gu0School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, Hubei 430073, ChinaA linearized compact difference scheme is provided for a class of variable coefficient parabolic systems with delay. The unique solvability, unconditional stability, and convergence of the difference scheme are proved, where the convergence order is four in space and two in time. A numerical test is presented to illustrate the theoretical results.http://dx.doi.org/10.1155/2014/810352 |
| spellingShingle | Wei Gu A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay Abstract and Applied Analysis |
| title | A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay |
| title_full | A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay |
| title_fullStr | A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay |
| title_full_unstemmed | A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay |
| title_short | A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay |
| title_sort | compact difference scheme for a class of variable coefficient quasilinear parabolic equations with delay |
| url | http://dx.doi.org/10.1155/2014/810352 |
| work_keys_str_mv | AT weigu acompactdifferenceschemeforaclassofvariablecoefficientquasilinearparabolicequationswithdelay AT weigu compactdifferenceschemeforaclassofvariablecoefficientquasilinearparabolicequationswithdelay |