مشخصات پژوهش

Abstract. In this paper, a numerical scheme solution of the non-linear time fractional gas dynamics model using finite element method is proposed. In this regard, cubic Hermit element has been used. Caputo-type derivative has been used for describing the temporal fractional derivative in the equation. In this occasion, the L1 discretization tool is applied to the time term in the equation. For the reliability, the error norms L2 and L∞ have been calculated. The findings of this work are found to be in good agreement with the exact solutions. Comparisons are made with those of some previous related works.