Solving the Initial Value Problem of Higher-Order Ordinary Differential Equations by Polynomials

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Maitee Podisuk
Chinda Chaichuay

Abstract

In this paper, we will use the polynomials of degree m to approximate the solution of the initial value problem of the ordinary differential equations. We will use them to find the numerical solutions of some examples and compare these results with the exact solution.


 


Keywords:  Polynomial Higher-Order, Differential Equations, Gauss-elimination


Corresponding author: E-mail : cast@kmitl.ac.th


 

Article Details

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Original Research Articles

References

[1] M. Podisuk and C. Chaichuay, Solving the Initial Value Problem of Ordinary Differential Equations by Polynomial : WSEAS TRANSACTIONS on SYSTEMs, Issue 10, Volume 3, December 2004.
[2] S.D. Conte and C. de Boor, Elementary Numerical Analysis second editors, McGraw – Hill Book Company, 1972.