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

DOI10.3390/math6010001OpenAlexW2779891196MaRDI QIDQ1657238

Muhammed I. Syam

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6010001

zbMATH Keywords

Taylor seriesCaputo derivativeLienard's equationresidual power series (RPS)

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Numerical methods for ordinary differential equations (65Lxx) Fractional ordinary differential equations (34A08)

Related Items

A fast and efficient scheme for solving a class of nonlinear Lienard's equations, Least-squares residual power series method for the time-fractional differential equations, A GENERALIZED FRACTIONAL POWER SERIES FOR SOLVING NONLINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS, Numerical and analytical simulations of nonlinear time fractional advection and Burger's equations

Cites Work

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• New results on fractional power series: theories and applications
• New results on the synthesis of FO-PID controllers
• Electrohydrodynamic instability of a dielectric compressible liquid sheet streaming into an ambient stationary compressible gas
• On the homotopy analysis method for nonlinear problems.
• A Laplace decomposition algorithm applied to a class of nonlinear differential equations
• Revisited Fisher's equation in a new outlook: a fractional derivative approach
• Analytical solution of the fractional Fredholm integrodifferential equation using the fractional residual power series method
• Numerical differentiation of implicitly defined curves
• An approximate solution technique not depending on small parameters: A special example
• A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain
• Explicit exact solutions for the Liénard equation and its applications
• The modified Broyden-variational method for solving nonlinear elliptic differential equations
• An efficient implicit Runge-Kutta method for second order systems
• Numerical solution of singularly perturbed fifth order two point boundary value problem
• An analytic solution of micropolar flow in a porous channel with mass injection using homotopy analysis method
• Dynamics of the Van der Pol equation
• On explicit exact solutions for the Lienard equation and its applications