Shukla A.K

Ramamohan T.R

Srinivas S.

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Analytical solutions for limit cycles of the forced Van der Pol Duffing oscillator

An analytical study is conducted to present thermal radiation, Dufour, and Soret effects on unsteady viscous flow over a contracting cylinder. The coupled nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations by using a suitable similarity transformation. The homotopy analysis method (HAM) and HAM with a nonhomogeneous term are employed to obtain analytical solutions for the system of coupled nonlinear ordinary differential equations. A significant reduction in the averaged square residual error is obtained when the nonhomogeneous term is introduced. A comparison between analytical and numerical solutions is presented for validation. The effects of various emerging parameters on flow variables are discussed. It is found that the temperature distribution increases with an increase in Dufour number, but decreases with an increase in Soret number. The concentration distribution decreases for a given increase in the Dufour number, but increases with an increase in Soret number. © 2014 American Society of Civil Engineers.

Journal of Aerospace Engineering

Influence of Thermal Radiation on Unsteady Flow over an Expanding or Contracting Cylinder with Thermal-Diffusion and Diffusion-Thermo Effects

Ain Shams Engineering Journal

The influence of thermophoretic particle deposition on fully developed MHD mixed convective flow in a vertical channel with thermal-diffusion and diffusion-thermo effects

Physica Scripta

A new analytical approach for limit cycles and quasi-periodic solutions of nonlinear oscillators: the example of the forced Van der Pol Duffing oscillator

Communications in Nonlinear Science and Numerical Simulation

Homotopy analysis method with a non-homogeneous term in the auxiliary linear operator

Homotopy Analysis Method in Nonlinear Differential Equations

Optimal Homotopy Analysis Method

International Journal of Computer Mathematics

The homotopy analysis method and the Liénard equation

An optimal homotopy-analysis approach for strongly nonlinear differential equations

Chaos, Solitons & Fractals

Analytical solution for Van der Pol–Duffing oscillators

Publisher	AIP
Open Access	Yes