A NEW NUMERICAL METHOD FOR THE SOLUTION OF INITIAL VALUE PROBLEMS
1 Department of Mathematics, Federal University Oye-Ekiti, Ekiti State
2 Department of Mathematics, Federal University Oye-Ekiti, Ekiti State, Nigeria.
* Corresponding author: olusola.abolarin@fuoye.edu.ng
2 Department of Mathematics, Federal University Oye-Ekiti, Ekiti State, Nigeria.
* Corresponding author: olusola.abolarin@fuoye.edu.ng
Abstract
A method of representing the exact solution to the initial
value problem by an interpolating function is considered to
generate a numerical method which enjoys the higher-order
advantage over all the existing methods. The algorithm de
veloped is coded using MATLAB programming application
language towards its applicability. The effectiveness of the
proposed method is tested and therefore found to compete
favourably with the exact solution and the existing method.
Keywords
Initial Value Problem
Interpolating function
Exact Solution
Algo rithm
Differential equations.
How to Cite
E, A. O., & W, A. S. (2015). A NEW NUMERICAL METHOD FOR THE SOLUTION OF INITIAL VALUE PROBLEMS. Nigerian Journal of Mathematics and Applications, 24(1), 261−267.
A. O. E, and A. S. W, "A NEW NUMERICAL METHOD FOR THE SOLUTION OF INITIAL VALUE PROBLEMS," Nigerian Journal of Mathematics and Applications, vol. 24, no. 1, pp. 261−267, December 2015.
