Application of Variational Iteration Method for nth-Order Integro-Differential Equations

In this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the

In the current work we present an idea for accelerating the convergence of the resulted sequence to the solution of the problem by choosing a suitable initial term. The efficiency of

In this problem finding more it- erations of He’s variational iteration method is very time consuming, so modification of the initial guess can provide an accurate and

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations. Key words: He’s

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations1. Key words: He’s

The discretized modified Korteweg- de Vries (mKdV) lattice equation and the discretized nonlinear Schr¨odinger equation are taken as examples to illustrate the validity and the

Comparison with numerical Runge-Kutta methods (RK) shows that the modified algorithm presented in this paper has the advantage of giving an analytical form of the so- lution, which

One Way of Choosing the Auxiliary Parameter It is important to ensure that a solution series ob- tained using PIM, which is always as a family of solu- tion expressions in the