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

doi:10.4236/oalib.1101614

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Open Access Library Journal 2 2015

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

DOI: 10.4236/oalib.1101614, PP. 1-7

Negesse Yizengaw

Subject Areas: Mathematical Analysis, Ordinary Differential Equation

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

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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.

Cite this paper

Yizengaw, N. (2015). Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method. Open Access Library Journal, 2, e1614. doi: http://dx.doi.org/10.4236/oalib.1101614.

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