The space–time fractional Telegraph equation and the modified third-order Kdv equations are significant molding in theoretic physics, mathematical plasma physics also other fields of nonlinear sciences. space time-fractional telegraph equation, which appears investigation an electrical communication line includes voltage addition to current is dependent on distance time, applied lines wholly fr...

In this work, the solution of a boundary value problem is discussed via asemi analytical method. The purpose of the present paper is to inspect theapplication of the Adomian decomposition method for solving the Nagumo tele-graph equation. The numerical solution is obtained for some special cases sothat demonstrate the validity of method.

Abstract In the present study, 1D, 2D, and 3D fractional hyperbolic telegraph equations in Caputo sense have been solved using an iterative method Sawi transform. These serve as a model for signal analysis of electrical impulse transmission propagation. Along with table transform some popular functions, helpful results on are provided. To demonstrate effectiveness suggested method, five example...

The main purpose of this work is to present a new double transform called the ARA-Sumudu (DARA-ST). application some basic functions and master properties are introduced. convolution existence theorems also presented proved. These results implemented obtain solution partial differential equations (PDEs), integral (IEs) functional equations. We formulas for solving families PDEs. latter ones use...

The purpose of this paper is to find approximate solutions the fractional telegraph differential equation (FTDE) using Laplace transform collocation method (LTCM). defined by Caputo derivative. A new form trial function from original presented and unknown coefficients in are computed LTCM. Two different initial-boundary value problems considered as test compared with analytical solutions. Numer...

We consider an infinite dimensional system modeling a boost converter connected to a load via a transmission line. The governing equations form a system coupling the telegraph partial differential equation with the ordinary differential equations modeling the converter. The coupling is given by the boundary conditions and the nonlinear controller we introduce. We design a nonlinear saturating c...

In this article, we proposed a numerical technique based on polynomial differential quadrature method (PDQM) to find the numerical solutions of one dimensional hyperbolic telegraph equation. The hyperbolic partial differential equations model the vibrations of structures (e.g., buildings, beams, and machines) and they are the basis for fundamental equations of atomic physics. The PDQM reduced t...

In this paper, some theoretical aspects will be addressed for the asymptotic preserving DG-IMEX schemes recently proposed in [10] for kinetic transport equations under a diffusive scaling. We will focus on the methods that are based on discontinuous Galerkin (DG) spatial discretizations with the P k polynomial space and a first order IMEX temporal discretization, and apply them to two linear mo...