Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method

Nonlinear Vibration; Nonlinear Response; Analytical Meth- ods ;Parameter Perturbation Method (PPM) ; Variational Iteration Method(VIM);Homotopy Perturbation Method (HPM);

Abstract — In this paper, we have applied an accurate and efficient homotopy analysis method (HAM) to find the approximate/analytical solutions for space and time fractional

As mentioned in the introduction section, this kind of modification of homotopy perturbation method has the capability of transforming nonlinear terms into linear ones while

Yildirim, Traveling wave solution of Korteweg –de Vries equation using e’s homotopy perturbation method, International Journal of Nonlinear Sciences and

Finally, Comparison with exact solution reveals that homotopy perturbation method and variational iteration method are remarkably effective for solving nonlinear

Keywords: Painlev´e transcendent; new homotopy perturbation method (NHPM); differential equation; nonlinear equations..

The nonlinear equation was solved by Homotopy Perturbation Method and the influence of Hartman number and Deborah number was studied on the velocity field.. The result of HPM

Unlike classical techniques, the homotopy perturbation method leads to an analytical approximate and exact solutions of the nonlinear equations easily and