A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation
Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fracti...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6638597 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849403951540076544 |
|---|---|
| author | Umair Ali Muhammad Asim Khan Mostafa M. A. Khater A. A. Mousa Raghda A. M. Attia |
| author_facet | Umair Ali Muhammad Asim Khan Mostafa M. A. Khater A. A. Mousa Raghda A. M. Attia |
| author_sort | Umair Ali |
| collection | DOAJ |
| description | Fractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fractional-order derivative is in the Riemann-Liouville (R-L) sense. Discussed the theoretical analysis of stability, consistency, and convergence. The numerical examples demonstrate that the method is more workable and excellently holds the theoretical analysis, showing the scheme’s feasibility. |
| format | Article |
| id | doaj-art-91f415ae669f4998932fe460cea3b7cb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-91f415ae669f4998932fe460cea3b7cb2025-08-20T03:37:08ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66385976638597A New Numerical Approach for Solving 1D Fractional Diffusion-Wave EquationUmair Ali0Muhammad Asim Khan1Mostafa M. A. Khater2A. A. Mousa3Raghda A. M. Attia4Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanSchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, MalaysiaDepartment of Mathematics, Faculty of Science, Jiangsu University, 212013 Zhenjiang, ChinaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaFractional derivative is nonlocal, which is more suitable to simulate physical phenomena and provides more accurate models of physical systems such as earthquake vibration and polymers. The present study suggested a new numerical approach for the fractional diffusion-wave equation (FDWE). The fractional-order derivative is in the Riemann-Liouville (R-L) sense. Discussed the theoretical analysis of stability, consistency, and convergence. The numerical examples demonstrate that the method is more workable and excellently holds the theoretical analysis, showing the scheme’s feasibility.http://dx.doi.org/10.1155/2021/6638597 |
| spellingShingle | Umair Ali Muhammad Asim Khan Mostafa M. A. Khater A. A. Mousa Raghda A. M. Attia A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation Journal of Function Spaces |
| title | A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation |
| title_full | A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation |
| title_fullStr | A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation |
| title_full_unstemmed | A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation |
| title_short | A New Numerical Approach for Solving 1D Fractional Diffusion-Wave Equation |
| title_sort | new numerical approach for solving 1d fractional diffusion wave equation |
| url | http://dx.doi.org/10.1155/2021/6638597 |
| work_keys_str_mv | AT umairali anewnumericalapproachforsolving1dfractionaldiffusionwaveequation AT muhammadasimkhan anewnumericalapproachforsolving1dfractionaldiffusionwaveequation AT mostafamakhater anewnumericalapproachforsolving1dfractionaldiffusionwaveequation AT aamousa anewnumericalapproachforsolving1dfractionaldiffusionwaveequation AT raghdaamattia anewnumericalapproachforsolving1dfractionaldiffusionwaveequation AT umairali newnumericalapproachforsolving1dfractionaldiffusionwaveequation AT muhammadasimkhan newnumericalapproachforsolving1dfractionaldiffusionwaveequation AT mostafamakhater newnumericalapproachforsolving1dfractionaldiffusionwaveequation AT aamousa newnumericalapproachforsolving1dfractionaldiffusionwaveequation AT raghdaamattia newnumericalapproachforsolving1dfractionaldiffusionwaveequation |