The Adomian decomposition method for solving partial differential equations of fractal order in finite domains

By Ahmed M. A. El-Sayed, Mohammed Gaber. 2006

222 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c32a3f909df6ec933ad0df4113b4c99be7bb5735

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Mehmet Yavuz
2. Payam Mokhtary
3. Farideh Ghoreishi
4. Hari M. Srivastava
5. Dumitru Băleanu
6. Xiao-jun Yang
7. Ž. Tomovski
8. Jinrong Wang

In Numerical Analysis

1. Mehmet Yavuz
2. Payam Mokhtary
3. Farideh Ghoreishi
4. Hari M. Srivastava
5. Dumitru Băleanu
6. Jinrong Wang
7. Bashir Ahmad
8. Ž. Tomovski

In Statistical and Nonlinear Physics

1. Mehmet Yavuz
2. Payam Mokhtary
3. Hari M. Srivastava
4. Farideh Ghoreishi

Citations in the corpus

• Novel solution methods for initial boundary value problems of fractional order with conformable differentiation (2017, background): “On the other hand, several researchers [5-17] have applied the homotopy perturbation/analysis methods (HPM/HAM) and Adomian decomposition method (ADM) to solve different kinds of fractional ordinary differential equations (ODEs), fractional partial differential equations (ODEs), integral equations (”
• The Müntz-Legendre Tau method for fractional differential equations (2016, methodology): “Several analytical and numerical methods to solve fractional differential equations have been given such as, Adomian decomposition method[12], Homotopy perturbation method[32], Wavelet method[36], Linear B-spline method[25], Product integration method[18], multistep method[17], PredictorCorrector me”