The homotopy perturbation method (HPM) was proposed by Ji-Huan. He was a rising star in
analytical methods, and all traditional analytical methods had abdicated their crowns. It is …

This tutorial review of fractal-Cantorian spacetime and fractional calculus begins with
Leibniz's notation for derivative without limits which can be generalized to discontinuous …

In this paper, modified variational iteration algorithm-II is investigated for finding approximate
solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B …

This second edition integrates the newly developed methods with classical techniques to
give both modern and powerful approaches for solving integral equations. It provides a …

The identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …

Purpose The purpose of this paper is to suggest a general numerical algorithm for nonlinear
problems by the variational iteration method (VIM). Design/methodology/approach Firstly …

The main aim of this paper is to analyze the modified epidemiological Susceptible-Infected-
Removed model including an antidotal population compartment A (SIRA). The fractional …

In this paper, we propose an incredible modification of variational iteration algorithm-II that
will accelerate the fast convergence of the series solution. We utilize the proposed algorithm …

In this paper, a combined form of the Laplace transform method with the homotopy
perturbation method is proposed to solve nonlinear equations. This method is called the …

In current study, the modified variational iteration algorithm-I is investigated in the form of the
analytical and numerical treatment of different types of nonlinear partial differential …