第三类自卷积Volterra积分方程的配置方法

Collocation methods for auto-convolution Volterra integral equations of the third kind

研究第三类自卷积Volterra积分方程的配置方法。建立配置方法的可解性,并分析配置方法的全局收敛阶;通过一些实例,列举了配置方法应用于第二类和第三类自卷积Volterra积分方程的主要区别;数值算例验证了理论结果的正确性。

Collocation methods for auto-convolution Volterra integral equations of the third kind are studied. The solvability of the collocation method is established,and the global convergence order of the collocation method is analyzed. The main differences between the collocation method for the auto-convolution Volterra integral equation of the second kind and the third kind are also listed by some examples. Some numerical experiments are presented to illustrate the correction of theoretical results.