| A SECOND ORDER DIFFERENCE SCHEME WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM |
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| 引用本文： | WANZhengsu CHENGuangnan. A SECOND ORDER DIFFERENCE SCHEME WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM[J]. 系统科学与复杂性, 2003, 16(2): 199-208 |
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| 作者姓名： | WANZhengsu CHENGuangnan |
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| 作者单位： | [1]DepartmentofMathematics,ShanghaiUniversity,Shanghai200436,China [2]LaboratoryofComputationalPhysics,InstituteofAppliedPhysicsandComputationalMathematics,P.O.Box8009,Beijing100088,China |
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| 摘 要： | In this paper, a difference scheme with nonuniform meshes is established for the initial-boundary problem of the nonlinear parabolic system. It is proved that the difference scheme is second order convergent in spacestep and timestep.
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| 关 键 词： | 二阶差分方程 不均匀结合 非线性抛物线 初值问题 |
A SECOND ORDER DIFFERENCE SCHEME WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM |
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| WAN Zhengsu. A SECOND ORDER DIFFERENCE SCHEME WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM[J]. Journal of Systems Science and Complexity, 2003, 16(2): 199-208 |
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| Authors: | WAN Zhengsu |
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| Abstract: | In this paper, a difference scheme with nonuniform meshes is established for the initial-boundary problem of the nonlinear parabolic system. It is proved that the difference scheme is second order convergent in spacestep and timestep. |
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| Keywords: | Second order difference nonuniform meshes. |
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