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YFICITIOUS TIME INTEGRATION METHOD FOR SOLVING THE TIME FRACTIONAL GAS DYNAMICS EQUATION

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Date

2019

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Abstract

In this work a poweful approach is presented to solve the time-fractional gas dynamics equation. In fact, we use a fictitious time variable y to convert the dependent variable w(x, t) into a new one with one more dimension. Then by taking a initial guess and implementing the group preserving scheme we solve the problem. Finally four examples are solved to illustrate the power of the offered method.

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Fictitious Time Integration Method, Group Preserving Scheme, Time Fractional Gas Dynamics Equation, Caputo Derivative

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Partohaghighi, Mohammad...et al. (2019). "YFICITIOUS TIME INTEGRATION METHOD FOR SOLVING THE TIME FRACTIONAL GAS DYNAMICS EQUATION", Thermal Science, Vol. 23, pp. 2009-2016.

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13

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Thermal Science

Volume

23

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2009

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2016
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CrossRef : 13

Scopus : 16

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264

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873

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