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

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

Original Research ArticleNov 12, 2018Vol. 5 No. 1 (2005)

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

How to Cite

Podisuk, M. ., & Sanprasert, W. . (2018). Integration Method for Solving the Initial Value Problem of Ordinary Differential Equation. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 450-459.

References

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

Author Information

Maitree Podisuk

Department of Mathematics and Computer Science, King Mongkut’s Institute of Technology Chaokhuntaharn Ladkrabang, Bangkok, Thailand

Wannaporn Sanprasert

Department of Mathematics and Computer Science, King Mongkut’s Institute of Technology Chaokhuntaharn Ladkrabang, Bangkok, Thailand

About this Article

Journal

Vol. 5 No. 1 (2005)

Type of Manuscript

Original Research Article

Keywords

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

Published

12 November 2018