In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

There are various linear and nonlinear one-dimensional partial differential equations that
are the focus of this research. There are a large number of these equations that cannot be …

Klein–Gordon equation models many phenomena in both physics and applied mathematics.
In this paper, a coupled method of Laplace transform and Legendre wavelets, named …

We aim through this paper to present an improved variational iteration method (VIM) based
on Bernstein polynomials (BP) approximations to be used with transcendental functions. The …

In this paper, the nonlinear Schrödinger (NLS) equation with cubic nonlinearity will be
studied. The reduced differential transform method (RDTM) will be used to obtain …

We consider initial value problems for the nonlinear Klein-Gordon equation in de Sitter
spacetime. We use the differential transform method for the solution of the initial value …

This study presents a hybrid method that incorporates Laplace transform along with
projected differential transform method to solve partial differential equations which may be …

The nonlinear Klein-Gordon equation used to model many nonlinear phenomena. In
quantum field theory, the corresponding Klein-Gordon field characterized by “particles” with …

In this paper, we introduce a modified variational iteration method for solving nonlinear
differential equations. The main advantage of this modification is that it gives stable and …

In this article, an analytical technique is provided to solve partial differential equations with
variable coefficients. This technique is a combination of the integral transform known as …