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An efficient computational technique for solving the Fokker–Planck equation with space and time fractional derivatives
- Source :
- Journal of King Saud University: Science, Vol 28, Iss 2, Pp 160-166 (2016)
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- This paper presents numerical solutions of the linear and nonlinear Fokker–Planck partial differential equations [FPPDEs] with space and time fractional derivatives through analytical solutions. These are treated by two analytical methods, namely, fractional reduced differential transform method [FRDTM] and fractional variational iteration method [FVIM] followed by some examples. Numerical results obtained by both FRDTM and FVIM are compared with some existing methods in the literature. This comparison shows the supremacy of FRDTM over FVIM and existing methods in terms of accuracy, simplicity and reliability.
- Subjects :
- Caputo fractional derivative
Multidisciplinary
Partial differential equation
Spacetime
Mathematical analysis
Modified Riemann–Liouville derivative
010103 numerical & computational mathematics
01 natural sciences
010305 fluids & plasmas
Fractional calculus
Differential transform method
Fractional variational iteration method
Computational Technique
Nonlinear system
Variational iteration method
Fractional correction functional
0103 physical sciences
Fokker–Planck equation
0101 mathematics
lcsh:Science (General)
General
Fractional reduced differential transform method
Fractional Fokker–Planck partial differential equations
lcsh:Q1-390
Mathematics
Subjects
Details
- ISSN :
- 10183647
- Volume :
- 28
- Database :
- OpenAIRE
- Journal :
- Journal of King Saud University - Science
- Accession number :
- edsair.doi.dedup.....44b5adb4c31d7d8a6c36eb3d3d3c19c8