| 随机比例方程的波形松弛方法 |
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| 引用本文： | 范振成.随机比例方程的波形松弛方法[J].福州大学学报(自然科学版),2011,39(3):345-349. |
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| 作者姓名： | 范振成 |
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| 作者单位： | 闽江学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10901036); 福建省教育厅科研资助项目(JA09192) |
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| 摘 要： | 将波形松弛方法应用到随机比例方程.在分裂函数满足单边Lipschitz条件和全局Lipschitz条件下,给出波形松弛方法的误差估计,该误差估计说明此方法是超线性收敛的.完成收敛速度的数值实验,验证了所得理论的正确性.
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| 关 键 词： | 随机比例方程 波形松弛方法 超线性收敛 分裂函数 |
Waveform relaxation methods for stochastic pantograph equations |
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| FAN Zhen-cheng.Waveform relaxation methods for stochastic pantograph equations[J].Journal of Fuzhou University(Natural Science Edition),2011,39(3):345-349. |
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| Authors: | FAN Zhen-cheng |
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| Institution: | FAN Zhen-cheng(Department of Mathematics,Minjiang University,Fuhou,Fujian 350108,China) |
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| Abstract: | The waveform relaxation is applied to solve stochastic pantograph equations.Under the one-sided Lipschitz conditions and the global Lipschitz conditions imposed on the so-called splitting function,the error estimate of waveform relaxation method is given,which shows that the method is superlinearly convergent.Numerical experiments for the rate of convergence are presented to illustrate the results. |
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| Keywords: | stochastic pantograph equations waveform relaxation methods superlinear convergence splitting functions |
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