IJPAM: Volume 92, No. 1 (2014)
Department of Mathematics
Modibbo Adama University of Technology
Yola, Adamawa State, NIGERIA
Abstract. A block method for solution of third order initial value problems of ordinary differential equations is presented in this paper. The scheme was derived using collocation and interpolation approach to generate a continuous linear multistep method which was solved for the independent solution to give a continuous block method. The result was evaluated at selected grid points to give a discrete block which gave simultaneous solutions at both grid and off grid points. The stability and convergence of the method were investigated, and found to be A -stable with good region of absolute stability. The accuracy of the block method was established numerically after comparing it with the existing method.
Received: December 13, 2013
AMS Subject Classification: 65L05, 65L06, 65D30
Key Words and Phrases: collocation, hybrid points, independent solution, interpolation, zero stable, consistent, convergent
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DOI: 10.12732/ijpam.v92i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 87 - 97
This work is licensed under the Creative Commons Attribution International License (CC BY).