Piecewise Analytic Method

Abstract

A new method for solving differential equations is introduced. The new method is called piecewise analytic method (PAM). The PAM is based on dividing the solution interval into subintervals. PAM gives an approximate analytic solution which is very accurate and can be applied to each subinterval. The piecewise analytic method can be made to be of any order of accuracy. PAM gives very interesting results especially when the solution contains singular points.