Integration Method for Solving the Initial Value Problem of Ordinary Differential Equation

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Maitree Podisuk
Wannaporn Sanprasert

Abstract

In this paper, we will use numerical integration formula and Gauss elimination method to find numerical solution of the initial value problem of the ordinary differential equations of higher order by using the integral equation. We will use the trapezoidal formula to come up with the system of linear equations. Some examples will be illustrated.


 Keywords:  Gauss-elimination, Trapezoidal Linear-equations, Integral-equation


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

Article Details

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Original Research Articles

References

[1] E.A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955
[2] S.D.Cote and C.de Boor, Elementary Numerical Analysis, third edition, McGraw-Hill, New York, 1980.