A numerical solution of fractional Lienard's equation by using the residual power series method

Muhammed I. Syam

doi:10.3390/math6010001

A numerical solution of fractional Lienard's equation by using the residual power series method

Muhammed I. Syam

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, we investigate a numerical solution of Lienard's equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented.

Original language	English
Article number	1
Journal	Mathematics
Volume	6
Issue number	1
DOIs	https://doi.org/10.3390/math6010001
Publication status	Published - Dec 22 2017

Keywords

Caputo derivative
Lienard's equation
Residual power series (RPS)
Taylor series

ASJC Scopus subject areas

Mathematics(all)

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10.3390/math6010001

Cite this

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title = "A numerical solution of fractional Lienard's equation by using the residual power series method",

abstract = "In this paper, we investigate a numerical solution of Lienard's equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem. The proposed method is a combination of the fractional Taylor series and the residual functions. Numerical and theoretical results are presented.",

keywords = "Caputo derivative, Lienard's equation, Residual power series (RPS), Taylor series",

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A numerical solution of fractional Lienard's equation by using the residual power series method

Abstract

Keywords

ASJC Scopus subject areas

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