In this paper, we developed a new variational iteration method using the quasilinearization and Adomian polynomial to solve nonlinear differential equations. The convergence analysis of our is also discussed under Lipschitz continuity condition in Banach space. Some application problems are included test efficacy proposed method. behavior investigated for different values parameter t. This powe...

The present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. In the current investigation...

In this paper, variational iteration method (VIM) is applied to solve nonlinear oscillators of fractional order. The time-fractional derivatives are described in the Jumarie’s derivative sense. The application of variational iteration method, developed for differential equations of integer order, is extended to derive explicit analytical solutions of the fractional order nonlinear oscillator’s ...

A general iteration formula of variational iteration method (VIM) for fractional heatand wave-like equations with variable coefficients is derived. Compared with previous work, the Lagrange multiplier of the method is identified in a more accurate way by employing Laplace’s transform of fractional order.The fractional derivative is considered in Jumarie’s sense.The results are more accurate tha...

This paper outlines a detailed study of the coupling of He’s polynomials with correction functional of variational iteration method VIM for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He’s...