完全非线性伪抛物组的非均匀网格差分格式 |
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引用本文: | 韩永前,袁光伟,周毓麟. 完全非线性伪抛物组的非均匀网格差分格式[J]. 计算数学, 1996, 18(4): 426-434 |
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作者姓名: | 韩永前 袁光伟 周毓麟 |
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作者单位: | 北京应用物理与计算数学研究所 |
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摘 要: | 完全非线性伪抛物组的非均匀网格差分格式韩永前,袁光伟,周毓麟(北京应用物理与计算数学研究所)DIFFERENCESCHEMESWITHNONUNIFORMMESHESFORFULLYNONLINEARPSEUDO-PARABOLICSYSTEMS¥H...
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关 键 词: | 伪抛物型方程组 差分格式 非线性 非均匀网格 |
DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR FULLY NONLINEAR PSEUDO-PARABOLIC SYSTEMS |
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Affiliation: | Han Yong-qian;Yuan Guang-wei; Zhou Yu-lin (Laboratory of Computational Physics, Centre for Nonlinear Studies,Institute of Applied Physics and Computational Mathematics, Beijing) |
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Abstract: | Abstract In this paper the difference schemes with nonuniform meshes for the initial boundary value problem of the fully nonlinear pseudo-parabolic systems are studied. The existence and uniqueness Of the discrete vector solutions for the difference systems are established by the fixed point theorem and a priori estimate. The stability and convergence of the difference schemes are obtained. Here the existence of the unique smooth vector solution of the original problems for the fully nonlinear pseudo-parabolic system is assumed. |
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