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

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

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

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

 

How to Cite

Podisuk, M. ., & Chaichuay, C. . (2018). Solving the Initial Value Problem of Higher-Order Ordinary Differential Equations by Polynomials. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 436-444.

References

  • 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.
  • S.D. Conte and C. de Boor, Elementary Numerical Analysis second editors, McGraw – Hill Book Company, 1972.

Author Information

Maitee Podisuk

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

Chinda Chaichuay

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

About this Article

Journal

Vol. 5 No. 1 (2005)

Type of Manuscript

Original Research Article

Keywords

Polynomial Higher-Order, Differential Equations, Gauss-elimination

Published

12 November 2018