He–Laplace method for nonlinear vibration systems and nonlinear wave equations

M Nadeem, F Li - Journal of Low Frequency Noise, Vibration …, 2019 - journals.sagepub.com
This study suggests a new approach for solving telegraph equation, commonly called
damped wave equation, arising in electromagnetic waves and propagation of electrical …

Recent developments of numerical methods for analyzing telegraph equations

ME Köksal - Archives of Computational Methods in Engineering, 2023 - Springer
This paper presents mathematical modelling of telegraph equations and as an application of
transmission lines in electrical signals and gives a survey of the results on the development …

Laplace transform collocation method for telegraph equations defined by Caputo derivative

M Modanlı, ME Koksal - Mathematical Modelling and Numerical …, 2022 - dergipark.org.tr
The purpose of this paper is to find approximate solutions to the fractional telegraph
differential equation (FTDE) using Laplace transform collocation method (LTCM). The …

New Tchebyshev‐Galerkin operational matrix method for solving linear and nonlinear hyperbolic telegraph type equations

WM Abd‐Elhameed, EH Doha… - … Methods for Partial …, 2016 - Wiley Online Library
The telegraph equation describes various phenomena in many applied sciences. We
propose two new efficient spectral algorithms for handling this equation. The principal idea …

A meshless collocation approach with barycentric rational interpolation for two-dimensional hyperbolic telegraph equation

W Ma, B Zhang, H Ma - Applied Mathematics and Computation, 2016 - Elsevier
In this paper, a meshless collocation method with barycentric rational interpolation is
proposed to find and represent the solution of the two-dimensional hyperbolic telegraph …

Fully Legendre spectral Galerkin algorithm for solving linear one-dimensional telegraph type equation

EH Doha, WM Abd-Elhameed… - International Journal of …, 2019 - World Scientific
In this paper, we analyze and implement a new efficient spectral Galerkin algorithm for
handling linear one-dimensional telegraph type equation. The principle idea behind this …

High‐order numerical solution of second‐order one‐dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method

KT Elgindy - Numerical Methods for Partial Differential …, 2016 - Wiley Online Library
We present a high‐order shifted Gegenbauer pseudospectral method (SGPM) to solve
numerically the second‐order one‐dimensional hyperbolic telegraph equation provided with …

Special functions and its application in solving two dimensional hyperbolic partial differential equation of telegraph type

I Ali, MT Saleem, A Din - Symmetry, 2023 - mdpi.com
In this article, we use the applications of special functions in the form of Chebyshev
polynomials to find the approximate solution of hyperbolic partial differential equations …

Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces

A Akgül, D Grow - Differential Equations and Dynamical Systems, 2020 - Springer
We demonstrate the existence of a unique solution to a nonhomogeneous telegraph
initial/boundary value problem on the unit square in an appropriate binary reproducing …

Block Nyström method for singular differential equations of the Lane–Emden type and problems with highly oscillatory solutions

SN Jator, HB Oladejo - International Journal of Applied and Computational …, 2017 - Springer
Singular and highly oscillatory ordinary differential equations (ODEs) are of great scientific
significance, since they frequently arise in practice. Hence, in this paper, we present a Block …