A new technique to study the telegraph equation, mostly familiar as damped wave equation is introduced in this study. This phenomenon rising electromagnetic influences and production of electric signals. The proposed called He-Fractional Laplace with help Homotopy perturbation utilized found exact nearly approximated results differential model numerical example or article. most unique term that...

We perform the analysis of a hyperbolic model which is the analog of the Fisher-KPP equation. This model accounts for particles that move at maximal speed ε (ε > 0), and proliferate according to a reaction term of monostable type. We study the existence and stability of traveling fronts. We exhibit a transition depending on the parameter ε: for small ε the behaviour is essentially the same as f...

Keywords: Differential quadrature method Hyperbolic telegraph equation Modified B-spline basis functions Thomas algorithm a b s t r a c t The present paper uses a relatively new approach and methodology to solve second order two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline basis functions based differential quadrature method for space discretization that...

The main goal of this research is to present a new approach double transforms called the Laplace–ARA transform (DL-ARAT). This novel combination Laplace and ARA transforms. We basic properties including existence, linearity some results related partial derivatives convolution theorem. To obtain exact solutions, applied several differential equations such as Klein–Gordon equation, heat wave equa...

In recent years, different experimental works with molecular simulation techniques have been developed to study the transport of plasma-generated reactive species in liquid layers. Here, we improve classical model that describes movement layers via considering fractional reaction–telegraph equation. We considered equation describe a non-Brownian motion layer, which diffusivities. The analytical...