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国家自然科学基金(11001072)

作品数:2 被引量:11H指数:1
发文基金:国家自然科学基金福建省自然科学基金更多>>
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Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations被引量:11
2012年
The block-by-block method,proposed by Linz for a kind of Volterra integral equations with nonsingular kernels,and extended by Kumar and Agrawal to a class of initial value problems of fractional differential equations(FDEs)with Caputo derivatives,is an efficient and stable scheme.We analytically prove and numerically verify that this method is convergent with order at least 3 for any fractional order indexα>0.
Jianfei HuangYifa TangLuis Vázquez
Multi-symplectic scheme for the coupled Schrdinger-Boussinesq equations
2013年
In this paper, a multi-symplectic Hamiltonian formulation is presented for the coupled Schrdinger-Boussinesq equations (CSBE). Then, a multi-symplectic scheme of the CSBE is derived. The discrete conservation laws of the Langmuir plasmon number and total perturbed number density are also proved. Numerical experiments show that the multi-symplectic scheme simulates the solitary waves for a long time, and preserves the conservation laws well.
黄浪扬焦艳东梁德民
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