Homotopy-laplace Decomposition Method to Solve Nonlinear Differential-difference Equations

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Authors

  • R. Rangarajan
     Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006 ,IN
  • Ananth Kumar S. R.
     Department of Mathematics, S.S.S.S. Govt. First Grade College, Channagiri, Davangere - 577 213 ,IN

DOI:

https://doi.org/10.18311/jims/2017/14928

Keywords:

Differential-difference Equation, Integro-differential-difference Equation, Laplace Transform, Adomian Polynomials, Laplace Decomposition Method and Homotopy Analysis Method

Abstract

In the recent literature, nonlinear differential equations, integro- differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the recent literature, nonlinear dierential equations, integro-differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the literature to solve above nonlinear problems. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations.

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Published

2017-07-01

How to Cite

Rangarajan, R., & Kumar S. R., A. (2017). Homotopy-laplace Decomposition Method to Solve Nonlinear Differential-difference Equations. The Journal of the Indian Mathematical Society, 84(3-4), 255–268. https://doi.org/10.18311/jims/2017/14928

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 R. Rangarajan, Ananth Kumar S. R.

Creative Commons License

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

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Europe PMC
Received 2017-02-03
Accepted 2017-04-04
Published 2017-07-01

 

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