A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
Copyright policy )A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
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.
- United Arab Emirates University United Arab Emirates
Lienard's equation, Fractional ordinary differential equations, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Caputo derivative, Fractional derivatives and integrals, QA1-939, Taylor series, residual power series (RPS), Numerical methods for ordinary differential equations, Lienard’s equation, Mathematics
Lienard's equation, Fractional ordinary differential equations, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Caputo derivative, Fractional derivatives and integrals, QA1-939, Taylor series, residual power series (RPS), Numerical methods for ordinary differential equations, Lienard’s equation, Mathematics
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