Homotopy Analysis Method for Nonlinear Fractional Gas Dynamics Equation
[1]
Attia Rani, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
[2]
Munazza Saeed, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
[3]
Qazi Mahmood Ul-Hassan, Department of Mathematics, University of Wah, Wah Cantt., Pakistan.
[4]
Muhammad Yaqub Khan, Department of Mathematics, Riphah International University, Islamabad, Pakistan.
[5]
Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan.
Fractional calculus is of vital importance and its significance is increased a lot since last many years. This paper applies Homotopy Analysis Method (HAM) to obtain analytical solutions of nonlinear fractional gas dynamics equation. Numerical results reveal the complete compatibility of proposed algorithm for such problems. Two special cases of the equation has been solved.
Homotopy Analysis Method, Fractional Calculus, Nonlinear Fractional Gas Dynamics Equation
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