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Construction of Explicit Quasi-complete Square Conservative Difference Schemes of Forced Dissipative Nonlinear Evolution Equations
强迫耗散非线性发展方程准完全平方守恒格式的构造

Keywords: Forced dissipative nonlinear evolution equation,Explicit quasi-complete square conservative difference scheme,Computational stability
强迫耗散非线性发展方程
,显式准完全平方守恒差分格式,计算稳定性

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Abstract:

Based on the forced dissipative nonlinear evolution equations for describing the motion of atmosphere and ocean, the computational stability of the explicit difference schemes of the forced dissipative nonlinear atmospheric and oceanic equations is analyzed and the computationally stable explicit complete square conservative difference schemes are constructed. The theoretical analysis and numerical experiment prove that the explicit complete square conservative difference schemes are computationally stable and deserve to be disseminated.

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