The Iterative Solution of Taylor Formula for Partial Differential Equation

Abstract

This paper discusses the relation between Taylor’s formula and partial differential equation. Taylor formula iteration method can resolve partial differential equation. u(x,t) be expanded at t = 0 or t = 1 by Taylor formula.Coefficient of Taylor formula ut(x,0),utt(x,0)...can be expressed by partial differential equation. The method can solve nonlinear differential equation. Generalized Taylor’s formula can solve fractional partial differential equation. The method is very important way that resolving partial differential equation. The method also can resolve those equations from [1-9]. This article refers to the literature [10]. Taylor formula iteration method belongs to logical thinking.