A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem
A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients. The aim of applying this algorithm is to overcome the inability of the differential transform method to solve such problems. The different...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2018-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2697_a50ab229ddcb62cc6e10d13b26848045.pdf |
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| _version_ | 1849428201589178368 |
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| author | A. Mohammadpour |
| author_facet | A. Mohammadpour |
| author_sort | A. Mohammadpour |
| collection | DOAJ |
| description | A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients. The aim of applying this algorithm is to overcome the inability of the differential transform method to solve such problems. The differential transform method is implemented twice. Once with initial condition, again with boundary conditions. A convex combination of two solutions is considered as solution of the problem. |
| format | Article |
| id | doaj-art-2494221d33704bb5852cbd9cc9937f21 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2018-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-2494221d33704bb5852cbd9cc9937f212025-08-20T03:28:47ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662018-12-017213514810.22098/jhs.2018.26972697A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problemA. Mohammadpour0Department of Mathematics, Babol branch, Islamic Azad University, Babol, Iran.A simple algorithm is applied in this paper to solve the conformable time fractional reaction-diffusion-convection problem (CTFRDCP) with varriable coefficients. The aim of applying this algorithm is to overcome the inability of the differential transform method to solve such problems. The differential transform method is implemented twice. Once with initial condition, again with boundary conditions. A convex combination of two solutions is considered as solution of the problem.https://jhs.uma.ac.ir/article_2697_a50ab229ddcb62cc6e10d13b26848045.pdftime fractional heat conduction problemfractional differential transform method |
| spellingShingle | A. Mohammadpour A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem Journal of Hyperstructures time fractional heat conduction problem fractional differential transform method |
| title | A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem |
| title_full | A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem |
| title_fullStr | A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem |
| title_full_unstemmed | A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem |
| title_short | A weighted algorithm to solve the conformable time fractional reaction-diffusion-convection problem |
| title_sort | weighted algorithm to solve the conformable time fractional reaction diffusion convection problem |
| topic | time fractional heat conduction problem fractional differential transform method |
| url | https://jhs.uma.ac.ir/article_2697_a50ab229ddcb62cc6e10d13b26848045.pdf |
| work_keys_str_mv | AT amohammadpour aweightedalgorithmtosolvetheconformabletimefractionalreactiondiffusionconvectionproblem AT amohammadpour weightedalgorithmtosolvetheconformabletimefractionalreactiondiffusionconvectionproblem |