Solution of a nonlinear two-point boundary value problem is studied using variational iteration method VIM considering its convergence behavior due to the changing nonlinearity effects in the equation. To achieve this, steady Burger equation is first solved by using finite element method FEM with a very fine mesh for the comparison of results obtained from VIM. Effect of the nonlinear term in t...

This paper reveals the reliability and efficiency of two modified versions of variational iteration method (VIM) where He’s and Adomian’s polynomials have been inserted in the correction functional of the VIM. The comparison of the suggested algorithms has been made on sixth-order boundary value problems (BVPs) by converting them into systems of integral equations. The proposed modified version...

In this paper, we present a comparative study between the modified variational iteration method (MVIM) and a hybrid of Fourier transform and variational iteration method (FTVIM). The study outlines the efficiencyand convergence of the two methods. The analysis is illustrated by investigating four singular partial differential equations with variable coefficients. The solution of singular partia...

A numerical method for solving the fractional-order logistic differential equation with two different delays FOLE is considered. The fractional derivative is described in the Caputo sense. The proposed method is based upon Chebyshev approximations. The properties of Chebyshev polynomials are utilized to reduce FOLE to a system of algebraic equations. Special attention is given to study the conv...

A new iterative technique is employed to solve a system of nonlinear fractional partial differential equations. This new approach requires neither Lagrange multiplier like variational iteration method VIM nor polynomials like Adomian’s decomposition method ADM so that can be more easily and effectively established for solving nonlinear fractional differential equations, and will overcome the li...

where 3 2 ( , , ) , ( , ) x y z a b ∈ ∈ R R . It is a quadratic and Lorenz-like model.The integrability [9], the limit cycles [10], the chaos synchronization [11] and the feedback controller [12] et al., have been discussed very recently. Many researchers have made much effort to analytical and numerical methods for solving the chaotic systems. For example, the variational iteration method (VIM...

In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow between slowly expanding or contracting walls with weak permeability by utilizing a semi analytical Akbari Ganji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficult and the results are not accurate. This new approach is emerged after comparing the achieved solutions...

In this paper, we used the Optimal Homotopy Asymptotic Method (OHAM) to find the approximate solution of seventh order linear and nonlinear boundary value problems. The approximate solution using OHAM is compared with Variational Iteration Method (VIM) and exact solutions, an excellent agreement has been observed. The approximate solution of the equations is obtained in terms of convergent seri...

In recent years, some promising approximate analytical solutions are proposed, such as exp-function method [1], homotopy perturbation method [2 – 11], and variational iteration method (VIM) [12 – 17]. The variational iteration method is the most effective and convenient one for both weakly and strongly nonlinear equations. This method has been shown to effectively, easily, and accurately solve ...

in this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modifiedriemann-liouville derivative was obtained with the help of fractional variational iteration method (fvim). a newapplication of fractional variational iteration method (fvim) was extended to derive analytical solutions in theform of a series for this equation. it is indicated that the so...