Adomain Decomposition Method for Initial Value Problem

Authors

  • Sivasangeetha N  M.Sc Mathematics, Department of Mathematics, Dr. SNS Rajalakshmi College of Arts and Science(Autonomous), Coimbatore, Tamil Nadu, India
  • T.Ramesh  M.Sc .M.Phil., Assistant Professor, Department of Mathematics, Dr.SNS Rajalakshmi College of Arts and Science (Autonomous), Coimbatore, Tamil Nadu, India

Keywords:

Adomain Decomposition Method; Initial value problems; Non-linear; Differential equations

Abstract

The Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. In this paper, this method is proposed to solve some initial value problems. It is shown that the series solutions converges to the exact solution for each problem.

References

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  3. Mustafa I (2005) On Numerical Solution of One-Dimensional Non-Linear Burger’s Equation and Convergence of the Decomposition Method. Appl Math Comput 170: 76-85
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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2017-10-31

Issue

Volume 3, Issue 6, September-October-2017

Section

Research Articles

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

How to Cite

[1]
Sivasangeetha N, T.Ramesh, " Adomain Decomposition Method for Initial Value Problem, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 6, pp.523-525, September-October-2017.