IJPAM: Volume 103, No. 3 (2015)
THE SOLUTION OF FIRST ORDER INITIAL VALUE
PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS




Adamawa State Polytechnic
Yola, Adamawa State, NIGERIA

Kogi State Polytechnic
Lokoja, NIGERIA

Federal College of Education
Yola, Adamawa State, NIGERIA
Abstract. This paper discussed the development of one - step, one hybrid block method
for the solution of first order initial value problems. Two functions were
combined to form the basis function which is collocated and interpolated at
some selected grid and off-grid points to develop a linear multistep method
which is implemented in block form. The paper further investigated the
properties of the block method and found it to be convergent. The region of
absolute stability was also investigated. The method was tested on some
numerical experiments and found to give better approximation than the
methods we compared our results with.
Received: May 8, 2015
AMS Subject Classification: 65L05, 65L06, 65D30
Key Words and Phrases: hybrid, consistent, grid points, off-grid points, convergent, block method, exponential function, interpolation
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DOI: 10.12732/ijpam.v103i3.12 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: 103
Issue: 3
Pages: 511 -
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This work is licensed under the Creative Commons Attribution International License (CC BY).