A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation
This study introduces a fitted numerical approach for solving singularly perturbed time-fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed thr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/admp/8769798 |
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| _version_ | 1850145769079701504 |
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| author | Nuru Ahmed Endrie Gemechis File Duressa |
| author_facet | Nuru Ahmed Endrie Gemechis File Duressa |
| author_sort | Nuru Ahmed Endrie |
| collection | DOAJ |
| description | This study introduces a fitted numerical approach for solving singularly perturbed time-fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano kernel. To validate the theoretical framework, two numerical test examples are considered for different values of the perturbation parameter. The proposed scheme demonstrates more accurate, stable, and uniform convergence compared to existing methods in the literature. |
| format | Article |
| id | doaj-art-e70e50143b6e40a9b5e9554b201a6947 |
| institution | OA Journals |
| issn | 1687-9139 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e70e50143b6e40a9b5e9554b201a69472025-08-20T02:28:01ZengWileyAdvances in Mathematical Physics1687-91392025-01-01202510.1155/admp/8769798A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic EquationNuru Ahmed Endrie0Gemechis File Duressa1Department of MathematicsDepartment of MathematicsThis study introduces a fitted numerical approach for solving singularly perturbed time-fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano kernel. To validate the theoretical framework, two numerical test examples are considered for different values of the perturbation parameter. The proposed scheme demonstrates more accurate, stable, and uniform convergence compared to existing methods in the literature.http://dx.doi.org/10.1155/admp/8769798 |
| spellingShingle | Nuru Ahmed Endrie Gemechis File Duressa A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation Advances in Mathematical Physics |
| title | A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation |
| title_full | A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation |
| title_fullStr | A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation |
| title_full_unstemmed | A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation |
| title_short | A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation |
| title_sort | robust exponentially fitted scheme for singularly perturbed fractional order delay parabolic equation |
| url | http://dx.doi.org/10.1155/admp/8769798 |
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