This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

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 paper is an elementary introduction to the concepts of variational iteration method. First,
the main concepts in variational iteration method, such as general Lagrange multiplier …

Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …

This paper discusses the application of the orthogonal collocation on finite elements (OCFE)
method using quadratic and cubic B-spline basis functions on partial differential equations …

This paper presents numerical solutions for the space‐and time‐fractional Korteweg–de
Vries equation (KdV for short) using the variational iteration method. The space‐and time …

In this paper, He's variational iteration method (VIM) is applied to the generalized Burgers–
Huxley equation. The VIM produces an approximate solution of the equation without any …

This paper presents a new heuristic approach for the approximate solution of the
generalised Burgers–Fisher problem with two distinct derivative senses: Caputo fractional …

In this paper, we present the solution of the Klein--Gordon equation. Klein--Gordon equation
is the relativistic version of the Schrödinger equation, which is used to describe spinless …

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