IJPAM: Volume 104, No. 2 (2015)

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

A.O. Adesanya$^1$, A.U. Fotta$^2$, B. Abdulkadri$^3$
$^1$Department of Mathematics
Modibbo Adama University of Technology
Yola, Adamawa State, NIGERIA
$^2$Department of Mathematics
Adamawa State Polytechnic
Yola, Adamawa State, NIGERIA
$^3$Department of Mathematics
Federal College of Education
Yola, Adamawa State, NIGERIA


Abstract. We consider collocation and interpolation of the approximate solution at some selected grid and off grid points to give a system of non-linear equations, solving for the unknown constants using Guassian elimination method and substituting into the approximate solution gives the continuous block method. We investigate the basic properties of the derived method, numerical examples show that the method is suitable for solving fourth order initial value problem of ordinary differential equations.

Received: August 5, 2013

AMS Subject Classification:

Key Words and Phrases: collocation, interpolation, continuous block method, fourth order initial value problem, approximate solution

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DOI: 10.12732/ijpam.v104i2.1 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: 2015
Volume: 104
Issue: 2
Pages: 159 - 169


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