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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

Solution of Second Order Ordinary Differential Equation Associated with Toeplitz and Stiffness Matrices

Sami H. Altoum1
  • 1 Department of Mathematics, Academy of Engineering Sciences, Saudi Arabia

Abstract

In this work we develop a technique solution of second order ordinary differential equation (integrating by parts) to reach to Toeplitz matrices and Stiffness matrix to solve O.D.Es. We investigate that solution numerically using finite difference method and we  find the error between exact and numerical solution computed using  finite element.

American Journal of Applied Sciences
Volume 15 No. 8, 2018, 416-422

DOI: https://doi.org/10.3844/ajassp.2018.416.422

Submitted On: 26 June 2018 Published On: 30 October 2018

How to Cite: Altoum, S. H. (2018). Solution of Second Order Ordinary Differential Equation Associated with Toeplitz and Stiffness Matrices. American Journal of Applied Sciences, 15(8), 416-422. https://doi.org/10.3844/ajassp.2018.416.422

Open AccessCopyright: © 2018 Sami H. Altoum. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Differential Equation
  • Toeplitz Matrix
  • Trapezoidal Method
  • Stiffness Matrix