Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities

Variational Iteration Method for Conservative Oscillators with Complicated Nonlinearities

The variational iteration method is employed to solve conservative oscillator containing complicated nonlinearities. In order to expand the nonlinear terms into truncated Fourier series, an approach of undetermined coefficient is proposed. Numerical examples shows the feasibility and efficiency of the variational iteration method as well as the presented technique for Fourier series expansion. ...

The variational iteration method for solving Nagumo telegraph equation

Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel

A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering...

An inverse iteration method for eigenvalue problems with eigenvector nonlinearities

Abstract. Consider a symmetric matrix A(v) ∈ Rn×n depending on a vector v ∈ Rn and satisfying the property A(αv) = A(v) for any α ∈ R\{0}. We will here study the problem of finding (λ, v) ∈ R × Rn\{0} such that (λ, v) is an eigenpair of the matrix A(v) and we propose a generalization of inverse iteration for eigenvalue problems with this type of eigenvector nonlinearity. The convergence of the ...

Variational Iteration Method for Solving Telegraph Equations

In this paper, we apply the variational iteration method (VIM) for solving telegraph equations, which arise in the propagation of electrical signals along a telegraph line. The suggested algorithm is more efficient and easier to handle as compare to the decomposition method. Numerical results show the efficiency and accuracy of the proposed VIM.