Solution Of The Problem And Error Analysis Of Two-dimensional Integral Differential Equations Taylor Configuration

In this paper, we give Taylor collocation method and Taylor polynomial approach method to computing numerical solutions of Volterra-Fredholm integral equation and integro-differential equation. Among of them, we mainly research Taylor polynomial approach methods of two-dimensional V-F integral equation and integro-differential equation. The format of the numer-ical solution is builded, the error analysis of the method is given between numerical solution and exact solution, and several numerical examples are given to verify the result of theoretical analysis.This paper is organized as follows:In chapter Ⅰ, the research background of Taylor collocation method and V-F integro-differential equation are introduced, and some preliminary knowledge are given.In chapter Ⅱ, the Taylor polynomial approach method and Taylor collocation method for one-dimensional V-F integro-differential equation are studied, and the results of error analysis are given.In chapter Ⅲ, the Taylor polynomial approach method and Taylor collocation method for two-dimensional V-F integral equation are studied, and the results of error analysis are given.In chapter Ⅳ, the Taylor polynomial approach method is applied to solve the two-dimensional V-F integro-differential equation and the results of error analysis are obtained.