A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative
The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/6470949 |
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| _version_ | 1850226366014816256 |
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| author | Vildan Gülkaç |
| author_facet | Vildan Gülkaç |
| author_sort | Vildan Gülkaç |
| collection | DOAJ |
| description | The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable components. |
| format | Article |
| id | doaj-art-55419e8cf6194ef29c8deff9fe2beb44 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-55419e8cf6194ef29c8deff9fe2beb442025-08-20T02:05:06ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/64709496470949A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional DerivativeVildan Gülkaç0Department of Mathematics, Science and Arts Faculty, Kocaeli University, Umuttepe Campus, 41380 Kocaeli, TurkeyThe Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable components.http://dx.doi.org/10.1155/2016/6470949 |
| spellingShingle | Vildan Gülkaç A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative Advances in Mathematical Physics |
| title | A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative |
| title_full | A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative |
| title_fullStr | A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative |
| title_full_unstemmed | A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative |
| title_short | A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative |
| title_sort | method of finding source function for inverse diffusion problem with time fractional derivative |
| url | http://dx.doi.org/10.1155/2016/6470949 |
| work_keys_str_mv | AT vildangulkac amethodoffindingsourcefunctionforinversediffusionproblemwithtimefractionalderivative AT vildangulkac methodoffindingsourcefunctionforinversediffusionproblemwithtimefractionalderivative |