On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition
The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified G...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/696179 |
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| _version_ | 1832560468006273024 |
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| author | Allaberen Ashyralyev Zafer Cakir |
| author_facet | Allaberen Ashyralyev Zafer Cakir |
| author_sort | Allaberen Ashyralyev |
| collection | DOAJ |
| description | The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive
stability estimates for the solution of these difference schemes are obtained. A procedure of modified
Gauss elimination method is used for solving these difference schemes in the case of one-dimensional
fractional parabolic partial differential equations. |
| format | Article |
| id | doaj-art-17f98d65ab254b81aa3b37c00aded509 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-17f98d65ab254b81aa3b37c00aded5092025-02-03T01:27:30ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/696179696179On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet ConditionAllaberen Ashyralyev0Zafer Cakir1Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, TurkeyDepartment of Mathematical Engineering, Gumushane University, 29100 Gumushane, TurkeyThe first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coercive stability estimates for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of one-dimensional fractional parabolic partial differential equations.http://dx.doi.org/10.1155/2012/696179 |
| spellingShingle | Allaberen Ashyralyev Zafer Cakir On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition Discrete Dynamics in Nature and Society |
| title | On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition |
| title_full | On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition |
| title_fullStr | On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition |
| title_full_unstemmed | On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition |
| title_short | On the Numerical Solution of Fractional Parabolic Partial Differential Equations with the Dirichlet Condition |
| title_sort | on the numerical solution of fractional parabolic partial differential equations with the dirichlet condition |
| url | http://dx.doi.org/10.1155/2012/696179 |
| work_keys_str_mv | AT allaberenashyralyev onthenumericalsolutionoffractionalparabolicpartialdifferentialequationswiththedirichletcondition AT zafercakir onthenumericalsolutionoffractionalparabolicpartialdifferentialequationswiththedirichletcondition |