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

Authors

  • 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

DOI:

https://doi.org//10.32628/18410IJSRSET

Keywords:

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

Abstract

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 Euler’s Method using MATLAB programming to solve the first order differential equation. And the Euler’s 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.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-09-30

Issue

Volume 4, Issue 10, September-October-2018

Section

Research Articles

License

Copyright (c) IJSRSET

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
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