Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition
Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/682752 |
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| _version_ | 1832566885061754880 |
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| author | Deniz Agirseven |
| author_facet | Deniz Agirseven |
| author_sort | Deniz Agirseven |
| collection | DOAJ |
| description | Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Hölder norms are obtained. A procedure of modified Gauss elimination method is used for the solution of these difference schemes. Homotopy analysis method is applied. Comparison of finite difference and homotopy analysis methods is given on the problem. |
| format | Article |
| id | doaj-art-34ff75eca8894a3e882bd28264ade5ce |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-34ff75eca8894a3e882bd28264ade5ce2025-02-03T01:02:46ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/682752682752Approximate Solutions of Delay Parabolic Equations with the Dirichlet ConditionDeniz Agirseven0Department of Mathematics, Trakya University, 22030 Edirne, TurkeyFinite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Hölder norms are obtained. A procedure of modified Gauss elimination method is used for the solution of these difference schemes. Homotopy analysis method is applied. Comparison of finite difference and homotopy analysis methods is given on the problem.http://dx.doi.org/10.1155/2012/682752 |
| spellingShingle | Deniz Agirseven Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition Abstract and Applied Analysis |
| title | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition |
| title_full | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition |
| title_fullStr | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition |
| title_full_unstemmed | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition |
| title_short | Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition |
| title_sort | approximate solutions of delay parabolic equations with the dirichlet condition |
| url | http://dx.doi.org/10.1155/2012/682752 |
| work_keys_str_mv | AT denizagirseven approximatesolutionsofdelayparabolicequationswiththedirichletcondition |