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Numerical Computation for Time-fractional Gas Dynamics Equations by Fractional Reduced Differential Transforms Method 认领 引用
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作者 Brajesh Kumar Singh Pramod Kumar 《Journal of Mathematics and System Science》 2016年第6期248-259,共12页
The present article is concerned with the implementation of a recent semi-analytical method referred to as fractional reduced differential transform method (FRDTM) for computation of approximate solution of time-fra... The present article is concerned with the implementation of a recent semi-analytical method referred to as fractional reduced differential transform method (FRDTM) for computation of approximate solution of time-fractional gas dynamics equation (TFGDE) arising in shock fronts. In this approach, the fractional derivative is described in the Caputo sense. Four numeric experiments have been carried out to confirm the validity and the efficiency of the method. It is found that the exact or a closed approximate analytical solution of a fractional nonlinear differential equations arising in allied science and engineering can be obtained easily. Moreover, due to its small size of calculation contrary to the other analytical approaches while dealing with a complex and tedious physical problems arising in various branches of natural sciences and engineering, it is very easy to implement. 展开更多
关键词 Gas Dynamics equation Caputo time-fractional derivatives Mittag-Leffler function reduced differential transformmethod Analytic solution
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Oxygen diffusion in a spherical cell subject to nonlinear Michaelis-Menten kinetics: Mathematical analysis by two exact methods 认领 引用
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作者 Hooman Fatoorehchi Hossein Abolghasemi +1 位作者 Laura Villafuerte Reza Zarghami 《International Journal of Biomathematics》 SCIE 2017年第2期171-186,共16页
A nonlinear model representing oxygen diffusion accompanied by the Michaelis-Menten consumption kinetics inside a spherical cell is solved analytically by the differential transform method (DTM) and the modified Ado... A nonlinear model representing oxygen diffusion accompanied by the Michaelis-Menten consumption kinetics inside a spherical cell is solved analytically by the differential transform method (DTM) and the modified Adomian decomposition method (MADM). A perfect agreement between the literature data and the results from the proposed 展开更多
关键词 Cellular oxygen transfer mathematical modeling differential transformmethod modified Adomian decomposition method.
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