A Second Order Fully Discrete Difference Scheme for a Partial Integro-differential Equation with A Weakly Singular Kernel
A Second Order Fully Discrete Difference Scheme for a Partial Integro-differential Equation with A Weakly Singular Kernel
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发表时间：
2010
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通讯作者：
Fang Chun-hua
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作者：
Fang Chun-hua
引入了一类具有弱奇异核的抛物型偏积-微分方程，得到了空间上采用六点隐式格式、时间上采用二阶后向差分格式的二阶全离散格式，并对二阶全离散格式进行了数值实验，验证了方法的稳定性和误差估计。
A partial integro-differential equation of parabolic type with a weakly singular kernel is introduced and result a second order fully discrete scheme,which use six-point implicit scheme in space and second order backward difference scheme in time.Numerical experiments for the second order fully discrete scheme is derived.By the calculating results we can verify the stability and error estimate of the method.