Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations

Prakash Kumar Das; Debabrata Singh; Madan Mohan Panja

doi:10.24297/jam.v16i0.8017

Authors

Prakash Kumar Das Visva-Bharati University
Debabrata Singh Visva-Bharati University
Madan Mohan Panja Visva-Bharati University

DOI:

https://doi.org/10.24297/jam.v16i0.8017

Keywords:

Duffing-type equation, Li´enard-type equation, Adomian Decomposition Method, Rapidly Convergent Approximation Method, Accurate Closed-form Approximate Solutions

Abstract

In this work, authors propose some modifications Adomian decomposition method to get some accurate closed form approximate or exact solutions of Duffing- and Li´enard-type nonlinear ordinary differential equations.
Results obtained by the revised scheme have been exploited subsequently to derive constraints among parameters to get the solutions to be bounded. The present scheme appears to be efficient and may be regarded as the confluence of apparently different methods for getting exact solutions for a variety of nonlinear ordinary differential equations appearing as mathematical models in several physical processes.

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Author Biographies

Prakash Kumar Das, Visva-Bharati University

Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India

Debabrata Singh, Visva-Bharati University

Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India

Madan Mohan Panja, Visva-Bharati University

Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India

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