Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation
A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method i...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6665420 |
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| _version_ | 1832547731342622720 |
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| author | Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy |
| author_facet | Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy |
| author_sort | Mostafa Abbaszadeh |
| collection | DOAJ |
| description | A numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings. |
| format | Article |
| id | doaj-art-bbc975c49e31494db226ba119ccf4e8f |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bbc975c49e31494db226ba119ccf4e8f2025-02-03T06:43:34ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/6665420Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave EquationMostafa Abbaszadeh0Mehdi Dehghan1Mahmoud A. Zaky2Ahmed S. Hendy3Department of Applied MathematicsDepartment of Applied MathematicsCollege of EducationDepartment of Computational Mathematics and Computer ScienceA numerical solution for neutral delay fractional order partial differential equations involving the Caputo fractional derivative is constructed. In line with this goal, the drift term and the time Caputo fractional derivative are discretized by a finite difference approximation. The energy method is used to investigate the rate of convergence and unconditional stability of the temporal discretization. The interpolation of moving Kriging technique is then used to approximate the space derivative, yielding a meshless numerical formulation. We conclude with some numerical experiments that validate the theoretical findings.http://dx.doi.org/10.1155/2021/6665420 |
| spellingShingle | Mostafa Abbaszadeh Mehdi Dehghan Mahmoud A. Zaky Ahmed S. Hendy Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation Journal of Function Spaces |
| title | Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation |
| title_full | Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation |
| title_fullStr | Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation |
| title_full_unstemmed | Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation |
| title_short | Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation |
| title_sort | interpolating stabilized element free galerkin method for neutral delay fractional damped diffusion wave equation |
| url | http://dx.doi.org/10.1155/2021/6665420 |
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