The Telegraph equation has drawn much attention due to its recent variety of applications in different areas the communication system. Various methods have been developed solve so far. In this research paper, we formulated a derivation mathematically for section line transmission concerning voltage associated and current. Therefore, obtained mathematical solved numerically by COMSOL Multiphysic...

In this paper we are concerned with the limiting behavior of gas flow in a thin channel as described by the Broadwell model. The Broadwell model is a simplified kinetic description for gas dynamics where the main assumption is that the particle distribution function can be represented by a discrete number of velocities. Starting from the Broadwell model and the appropriate boundary conditions w...

The main purpose of this study is to introduce a new double fuzzy transform called the Sawi transform. A proof some basic properties single and are provided. These results implemented obtain exact solution non-homogeneous linear telegraph equation under generalized Hukuhara partial differentiability. In addition, by using symmetric triangular numbers, numerical examples given demonstrate validi...

In this article, the propagation of digital and analog signals through media which, in general, are both dissipative and dispersive is modeled using the one-dimensional telegraph equation. Input signals are represented using impulsive, Heaviside unit step, Gaussian, rectangular pulse, and both unmodulated and modulated sinusoidal pulse type boundary data. Applications to coaxial transmission li...

In this paper we present a comprehensive existence theory for linear and nonlinear reaction random walk systems. The methods are based on semigroup theory for solutions of differential equations on Banach spaces. The solution properties on a bounded domain sensitively depend on the choice of boundary conditions. For Neumann or for periodic boundary conditions, singularities are transported alon...