Abstract o obtain the approximation of analytical solutions for linear and nonlinear integral equations. Some illustrative examples are presented and the results show that solutions …

A modification of the variational iteration method applied to systems of linear/non-linear ordinary differential equations, which yields a series solution with accelerated convergence, has been …

2024年6月20日 · Given its significance, many scholars, including J.H. He [7], S. Momani [8], and Z.M. Odibat [9], have extensively researched this method. A key advantage of VIM over other …

ABSTRACT In this research project paper, I introduce some basic idea of Variational iteration method and its algorithm to solve the equations ODE & PDE, fractional differential equation, …

We'll cover the fundamental concepts and demonstrate its application with clear examples. Discover how this technique simplifies complex problems and provides valuable insights.

2014年3月15日 · We apply the variational iteration method (VIM) for solving linear and nonlinear ordinary differential equations with variable coefficients. We use distinct Lagrange multiplier …

This chapter solves few test problems using the present method to make the readers familiar with the method. As such, two linear nonhomogeneous partial differential equations are handled in …

The variational iteration method is easy to compute the successive approximations. In a fewer iterations we get exact solutions of problems if solution of those problems exist.

The main purpose of this paper is to derive the variational iteration formula and its convergence for solving system of fractional order ordinary differential equations (ODE). as well as some …