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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Keywords
Fictitious Time Integration Method, Group Preserving Scheme, Time Fractional Gas Dynamics Equation, Caputo Derivative
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Citation
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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Source
Thermal Science
Volume
23
Issue
Start Page
2009
End Page
2016