High-order numerical methods of fractional-order Stokes’ first problem for heated generalized second grade fluid |
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引用本文: | ?,??????,?????.High-order numerical methods of fractional-order Stokes’ first problem for heated generalized second grade fluid[J].应用数学和力学(英文版),2012,33(1):65-80. |
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作者姓名: | ? ?????? ????? |
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作者单位: | School of Mathematics and Computational Science, Xiangtan University |
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基金项目: | supported by the National Natural Science Foundation of China (No. 10971175);the Scientific Research Fund of Hunan Provincial Education Department (No. 09A093) |
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摘 要: | The high-order implicit finite difference schemes for solving the fractionalorder Stokes’ first problem for a heated generalized second grade fluid with the Dirichlet boundary condition and the initial condition are given. The stability, solvability, and convergence of the numerical scheme are discussed via the Fourier analysis and the matrix analysis methods. An improved implicit scheme is also obtained. Finally, two numerical examples are given to demonstrate the effectiveness of the mentioned schemes.
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关 键 词: | 广义二阶流体 数值方法 分数阶 Dirichlet边界条件 高阶 加热 矩阵分析方法 傅立叶分析 |
收稿时间: | 2011-08-23 |
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