IJPAM: Volume 97, No. 1 (2014)

HYBRID ONE STEP BLOCK METHOD FOR THE SOLUTION
OF THIRD ORDER INITIAL VALUE PROBLEMS
OF ORDINARY DIFFERENTIAL EQUATIONS

A.O. Adesanya$^1$, B. Abdulqadri$^2$, Y.S. Ibrahim$^3$
$^1$Department of mathematics
Modibbo Adama University of Technology
Yola, Adamawa State, NIGERIA
$^{2,3}$Department of Mathematics
Federal College of Education
Yola, Adamawa State, NIGERIA


Abstract. In this paper, we develop one point, five hybrid points, block method using the method of collocation and interpolation of the power series approximate solution to develop a linear multistep method with a constant step-length which was implemented in block method. The basic properties of the derived method was investigated and found to be constant, zero stable and convergent. The region of absolute stability was equally investigated. The derived method was tested on some numerical examples.

Received: August 5, 2013

AMS Subject Classification: 65L05, 65L06, 65D30

Key Words and Phrases: hybrid, collocation, interpolation, approximate solution, zero stable, consistent, convergent, block method

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DOI: 10.12732/ijpam.v97i1.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 97
Issue: 1
Pages: 1 - 11


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