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1.
In this paper,we propose a numerical method to estimate the unknown order of a Riemann-Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid.The implicit numerical method is employed to solve the direct problem.For the inverse problem,we first obtain the fractional sensitivity equation by means of the digamma function,and then we propose an efficient numerical method,that is,the Levenberg-Marquardt algorithm based on a fractional derivative,to estimate the unknown order of a Riemann-Liouville fractional derivative.In order to demonstrate the effectiveness of the proposed numerical method,two cases in which the measurement values contain random measurement error or not are considered.The computational results demonstrate that the proposed numerical method could efficiently obtain the optimal estimation of the unknown order of a RiemannLiouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid. 相似文献
2.
In this study, the flow of a fourth order fluid in a porous half space is modeled. By using the modified Darcy’s law, the
flow over a suddenly moving flat plate is studied numerically. The influence of various parameters of interest on the velocity
profile is revealed.
The English text was polished by Keren Wang. 相似文献