FRDTM for numerical simulation of multi-dimensional, time-fractional model of Navier–Stokes equation
| Autor: | Brajesh Kumar Singh, Pramod Kumar |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Scheme (programming language)
Navier–Stokes equation Computer simulation Computation FRDTM Mathematical analysis General Engineering Fractional model 010103 numerical & computational mathematics Non-dimensionalization and scaling of the Navier–Stokes equations Engineering (General). Civil engineering (General) Caputo time-fractional derivative 01 natural sciences 010101 applied mathematics Range (mathematics) symbols.namesake Mittag-Leffler function symbols Order (group theory) Mittag–Leffler function TA1-2040 0101 mathematics computer computer.programming_language Mathematics |
| Zdroj: | Ain Shams Engineering Journal, Vol 9, Iss 4, Pp 827-834 (2018) |
| ISSN: | 2090-4479 |
| DOI: | 10.1016/j.asej.2016.04.009 |
| Popis: | In this paper, a new approximate solution of time-fractional order multi-dimensional Navier–Stokes equation is obtained by adopting a semi-analytical scheme: “Fractional Reduced Differential Transformation Method (FRDTM)”. Three test problems are carried out in order to validate and illustrate the efficiency of the method. The scheme is found to be very reliable, effective and efficient powerful technique to solve wide range of problems arising in engineering and sciences. The small size of computation contrary to the other schemes, is its strength. Keywords: Navier–Stokes equation, Caputo time-fractional derivative, FRDTM, Mittag–Leffler function |
| Databáze: | OpenAIRE |
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