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Numerical algorithm for solving the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative

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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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Authors and Affiliations

  1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China

    Y. Chen & Chang-Ming Chen

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  1. Y. Chen
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  2. Chang-Ming Chen
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Correspondence to Chang-Ming Chen.

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Chen, Y., Chen, CM. Numerical algorithm for solving the Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Numer Algor 77, 939–953 (2018). https://doi.org/10.1007/s11075-017-0348-3

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  • DOI: https://doi.org/10.1007/s11075-017-0348-3

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