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 …

In this paper, He's variational iteration method (VIM) has been used to obtain solution nonlinear gas dynamics equation and Stefan equation. This method is based on Lagrange multipliers for …

The smallest value of (α2 + 1)/2α is 1, when α = 1; we conclude that λ0 ≤ 1, which gives us an upper bound on the lowest eigenvalue. In fact this method has given us the exact eigenvalue …

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, fractal differential …

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

This section presents two types of multistep methods: Adams methods and backward differentiation methods. Different levels of accuracy can be achieved with each type of methods.

Jun 20, 2024 · By using a suitable initial guess and incorporating a Lagrange multiplier, one can obtain exact or highly accurate solutions for various physical problems.

In this paper, variational iteration method is applied for finding the solution of differential equations with piecewise constant arguments. A correction functional is constructed by a …