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

作者：Chen, Y.; Chen, Chang-Ming^*

来源：Numerical Algorithms, 2018, 77(3): 939-953.

DOI：10.1007/s11075-017-0348-3

• The Stokes' first problem
• The second-order compact approximation of first-order derivative
• Solvability
• Convergence
• Stability

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.

• 出版日期2018-3
• 单位厦门大学