Implicit One-Step Block Hybrid Third-Derivative Method for the Direct Solution of Initial Value Problems of Second-Order Ordinary Differential Equations

A new one-step block method with generalized three hybrid points for solving initial value problems of second-order ordinary differential equations directly is proposed. In deriving this method, a power series approximate function is interpolated at {xn,xn+r} while its second and third derivatives a...

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Bibliographic Details
Main Authors: Mohammad Alkasassbeh, Zurni Omar
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2017/8510948