American Journal of Computational Mathematics

Volume 3, Issue 2 (June 2013)

ISSN Print: 2161-1203   ISSN Online: 2161-1211

Google-based Impact Factor: 0.42  Citations  

Four Steps Continuous Method for the Solution of y″= f (x, y, y′)

HTML  Download Download as PDF (Size: 185KB)  PP. 169-174  
DOI: 10.4236/ajcm.2013.32025    3,988 Downloads   7,617 Views  Citations

ABSTRACT

This paper proposes a continuous block method for the solution of second order ordinary differential equation. Collocation and interpolation of the power series approximate solution are adopted to derive a continuous implicit linear multistep method. Continuous block method is used to derive the independent solution which is evaluated at selected grid points to generate the discrete block method. The order, consistency, zero stability and stability region are investigated. The new method was found to compare favourably with the existing methods in term of accuracy.

Share and Cite:

Adesanya, A. , Odekunle, M. and Udoh, M. (2013) Four Steps Continuous Method for the Solution of y″= f (x, y, y′). American Journal of Computational Mathematics, 3, 169-174. doi: 10.4236/ajcm.2013.32025.

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