Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

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 …

This article deals with a fractional extension of Biswas–Milovic (BM) model having Kerr and
parabolic law nonlinearities. The BM model plays a key role in describing the long-distance …

This study attempts to investigate the dynamic study of the three-component coupled NLS-
type equations. The unified Riccati equation expansion method and the generalized …

In this paper, a hybrid method called variational iteration transform method has been
implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes …

In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis
method with Laplace transform, namely q-homotopy analysis transform method to solve time …

The present work considers the approximation of solutions of a type of fractional-order
Volterra–Fredholm integro-differential equations, where the fractional derivative is …

This study reveals new voltage behaviors to the electrical transmission line equation in a
network system by using the newly presented sine-Gordon equation function method. It is …

Abstract In this paper, Newell–Whitehead–Segel equations of fractional order are solved by
fractional variational iteration method. Convergence analysis and numerical examples are …

The variational iteration method (VIM) has been in the last two decades, one of the most
used semi-analytical techniques for approximating nonlinear differential equations. The …