Exact and Numerical Solution of ordinary differential equations using Highly Improved Euler's method and MATLAB

Authors(2) :-B. Jayapriya, M. Muthuselvi

In this paper investigated about the general first order differential equation dy/dx =f (x,y) with the initial condition y(x0)=y0 and introduce Highly Improved Eulerís Method using MATLAB programming to solve the first order differential equation. And the Eulerís solutions are compared with exact solution. And the errors are rectified using Calculating Error of the Approximation Method. Finally the results are reported as graph using MATLAB coding.

Authors and Affiliations

B. Jayapriya
M.Sc Mathematics Department of Mathematics, Dr SNS Rajalakshmi College Of Arts And Science, Coimbatore
M. Muthuselvi
Assistant Professor, Department of Mathematics, Dr SNS Rajalakshmi College Of Arts And Science, Coimbatore

Ordinary differential equation, Exact solution, Range, MATLAB coding.

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Publication Details

Published in : Volume 4 | Issue 10 | September-October 2018
Date of Publication : 2018-09-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 104-108
Manuscript Number : IJSRSET1841015
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

B. Jayapriya, M. Muthuselvi, " Exact and Numerical Solution of ordinary differential equations using Highly Improved Euler's method and MATLAB, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 10, pp.104-108, September-October-2018. Available at doi : https://doi.org/10.32628/18410IJSRSET
Journal URL : http://ijsrset.com/IJSRSET1841015

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