Hybrid Block Method Algorithms for Solution of First Order Initial Value Problems in Ordinary Differential Equations

[摘要] In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial ValueProblem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation of powerseries approximation to generate the continuous formula. The properties and feature of the method are analyzed andsome numerical examples are also presented to illustrate the accuracy and effectiveness of the method.

[关键词] Collocation;Interpolation;Linear multistep method;Hybrid and power series polynomial