Dear Colleagues
Can anyone suggest me a good numerical method for solving a system of fractional partial differential equations?
Dear Pr. N. Ahmad
Many thanks for your answer. Can you send me some paper?
Best regards
Abdelaziz Mennouni
Laplace transform is an efficient method for solving a system of linear fractional-order partial differential equations. But also the combined method of Adomian and Laplace transform is an efficient way to solve a system of nonlinear fractional-order differential equations.
Dear Dr. K. Zakaria
Thank you very much for your answer.
All the best for you.
Abdelaziz
Dear Dr. Abdelaziz Mennouni,
You are always welcome Sir,
Dr. Kamran
Check the following paper
Numerical scheme for solving system of fractional partial differential equations with Volterra‐type integral term through two‐dimensional block‐pulse functions
Xie, Jiaquan, Ren, Zhongkai, Li, Yugui, Wang, Xiaogang, Wang, TaoJournal:Numerical Methods for Partial Differential EquationsYear:2019
Dear Pr. M. G. Bin-Saad
Thank you very much for your answer.
Kind regards.
Abdelaziz
I recomond u to check this link may it would be suitable for u https://www.tandfonline.com/doi/abs/10.1080/00207160.2017.1343941?src=recsys&journalCode=gcom20 , And in the same that question would be of interest if it were posted in MO
The following reference for solving the system of the fractional differential equation:
" An efficient scheme for solving a system of fractional differential equations with boundary conditions"
by Veysel Fuat Hatipoglu1, Sertan Alkan2 and Aydin Secer3*
Dear Dr. Kamran Zakaria
Thank you very much for your answer.
Regards
Article Solving system of fractional partial differential equations ...
https://pdfs.semanticscholar.org/c1b1/27bb38112aa2c6b32d4a611b345043887173.pdfhttps://www.degruyter.com/view/journals/fca/15/4/article-p684.xml
If you want another methods you find them in the following papers attached.
If you want more other methods, you should contact Professor Jun-Sheng Duan, he has more documents of them.
I think that the ADM (Adomian decomposition method) also resolve this kind of equations (system of fractional partial differential equations) with initial and boundary conditions, I know that you know this method because you have already published some papers in the application of this method to solve integral equations with Lazhar Bogouffa, I attached here two papers (I hope you will find in them what you need), but I always recommand the professor Jun-Sheng Duan to helps you in that domain because its his speciality and he published much papers in the solution of fractional differential equations by ADM and other methods.
Best regards
For partial fractions différentiel equation a spectral or other Is inneficient in time and accuracy. Thé good method je an l'île eulerian approximation: Instead of delta x oui pour sqrt delta x un finite or volum element and or à good
A finite difference method like the eulerian methods is suitable
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Materials Science
- Materials
- Inorganic Materials
- Metals
- Alloys
- Steel