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Your search keyword '"DARVISHI, Elham"' showing total 1 results
Start Over Author "DARVISHI, Elham" Publisher society of thermal engineers of serbia
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1. SOLVING THE TIME-FRACTIONAL DIFFUSION EQUATION USING A LIE GROUP INTEGRATOR.

Author

HASHEMI, Mir Sajjad, BALEANU, Dumitru, PARTO-HAGHIGHI, Mohammad, and DARVISHI, Elham

Subjects
HEAT equation, LIE groups, TIME integration scheme, DIFFERENTIAL equations, DEPENDENT variables
Abstract

In this paper, we propose a numerical method to approximate the solutions of time fractional diffusion equation which is in the class of Lie group integrators. Our utilized method, namely fictitious time integration method transforms the unknown dependent variable to a new variable with one dimension more. Then the group preserving scheme is used to integrate the new fractional partial differential equations in the augmented space R3+1. Effectiveness and validity of method demonstrated using two examples. [ABSTRACT FROM AUTHOR]

Published
2015
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