Numerical algorithm for solving the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative |
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Authors: | Y Chen Chang-Ming Chen |
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Institution: | 1.School of Mathematical Sciences,Xiamen University,Xiamen,China |
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Abstract: | In this paper, based on the second-order compact approximation of first-order derivative, the numerical algorithm with second-order temporal accuracy and fourth-order spatial accuracy is developed to solve the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative; the solvability, convergence, and stability of the numerical algorithm are analyzed in detail by algebraic theory and Fourier analysis, respectively; the numerical experiment support our theoretical analysis results. |
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