A SECOND ORDER FULLY DISCRETE DIFFERENCE SCHEME FOR A NONLINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATION

A SECOND ORDER FULLY DISCRETE DIFFERENCE SCHEME FOR A NONLINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATION
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DOI:
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发表时间:
2008
期刊:
Journal of Systems Science and Mathematical Sciences
影响因子:
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通讯作者:
Chen Hong-bin
Chen Hong-bin
中科院分区:
其他
文献类型:
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作者:
Chen Hong-bin

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研究一类非线性偏积分-微分方程的二阶完全离散差分法。积分项用Lubich提出的二阶卷积求积分来处理。利用二阶后向差分格式,给出了系统的稳定性和误差估计。
In this paper,the second order fully discrete difference method for a nonlinear partial integro-differential equation is considered.The integral term is treated by means of the second order convolution quadrature raised by Lubich.By the second order backward difference scheme,the stability and the error estimate are given.