Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method

Negesse Yizengaw

doi:10.4236/oalib.1101614

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Open Access Library Journal > Vol.2 No.6, June 2015

Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method ()

Negesse Yizengaw

Mathematics Department, University of Gondar, Gondar, Ethiopia.

DOI: 10.4236/oalib.1101614 PDF HTML XML 1,086 Downloads 2,045 Views

Abstract

Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial value ordinary differential equation on some interval by using finite difference method in a very accurate manner with the formulation of error estimation.

Keywords

Ordinary Differential Equation, Finite Difference Method, Interpolation, Error Estimation

Share and Cite:

Yizengaw, N. (2015) Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method. Open Access Library Journal, 2, 1-7. doi: 10.4236/oalib.1101614.

Conflicts of Interest

The authors declare no conflicts of interest.

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