Approximate solution of ordinary linear differential equations with analytical complex functions coefficient by means of Taylor matrix method.

Let f , p , q , r be analytical functions in D with complex variables and complex values, where D ? C is a simple connected domain of the complex plane in this study. We give approximative solutions of nonhomogenous ordinary differential equation p ( z ) y (2) ( z )+ q ( z ) y (1) ( z )+ r ( z ) y ( z )= f ( z ) via Taylor matrix method. Then we illustrate these solutions by some given applications. [ABSTRACT FROM AUTHOR]