Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Computational Methods in Science and Technology

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: fractional sub-equation method

Sortuj według:

Ogranicz wyniki do:

Analytical Solutions of Classical and Fractional KP-Burger Equation and Coupled KdV Equation

Ghosh U., Sarkar S., Das S.

Computational Methods in Science and Technology

2016

Vol. 22, No. 3

143--152

Development of new analytical and numerical methods and their applications for solving non-linear partial differential equations (both classical and fractional) is a rising field of Applied Mathematical research because of its applications in Physical, Biological and Social Sciences. In this paper we have used a generalized Tanh method to find the exact solution of KP-Burger equation and coupled KdV equation. The fractional Sub-equation method has been used to find the solution of fractional KP-Burger equation and fractional coupled KdV equations. The exact solution obtained by the fractional sub-equation method reduces to classical solution when the order of fractional derivative tends to one. Finally numerical simulation has been done. The numerical simulation justifies that the solutions of two fractional differential equations reduce to shock solution for KP-Burger equation and soliton solution for coupled KdV equations when the order of derivative tends to one.

Formulation and Solution of Space -Time Fractional KdV - Burgers Equation

Abulwafa E. M., Elgarayhi A. M., Mahmoud A. A., Tawfik A. M.

Computational Methods in Science and Technology

2013

Vol. 19, No. 4

235--243

The space-time fractional KdV-Burgers equation has been derived using the semi-inverse method and Agrawal’s variational method. The modified Riemann-Liouville definition is used for the fractional differential operators. The derived fractional equation is solved using the fractional sub-equation method.