In this article, using distribution kernel, we study the nonlinear equations with n-dimensional telegraph operator iterated k-times. Keywords—Telegraph operator, Elementary solution, Distribution

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 Nagumotelegraph equation. The numerical solution is obtained for some special casesso that demonstrate the validity of method.

We consider a problem of estimation for the telegrapher’s process on the line, say X(t), driven by a Poisson process with non constant rate. It turns out that the finite-dimensional law of the process X(t) is a solution to the telegraph equation with non constant coefficients. We give the explicit law (Pθ) of the process X(t) for a parametric class of intensity functions for the Poisson process...

A computational technique based on asymptotic analysis for solving singularly perturbed ODE systems involving a small parameter is considered. The focus is on second-order systems, but the procedure is also applicable for first-order systems. Both initial value and boundary value problems will be solved. The application of the method is considered over the entire time domain for a wide range of...

In this paper, the two-dimensional second kind Chebyshev wavelets are applied for numerical solution of the time-fractional telegraph equation with Dirichlet boundary conditions. In this way, a new operational matrix of fractional derivative for the second wavelets is derived and then this operational matrix has been employed to obtain the numerical solution of the above mentioned problem. The ...