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 …

The use of a Legendre multiwavelet collocation method for solving the fractional optimal control problems

SA Yousefi, A Lotfi, M Dehghan - Journal of Vibration and …, 2011 - journals.sagepub.com
In this article the Legendre multiwavelet basis with the aid of a collocation method has been
applied to give the approximate solution for the fractional optimal control problems (FOCPs) …

He's homotopy perturbation method for solving the space-and time-fractional telegraph equations

A Yıldırım - International Journal of Computer Mathematics, 2010 - Taylor & Francis
In this study, homotopy perturbation method (HPM) is used to obtain analytic and
approximate solutions of the space-and time-fractional telegraph equations. The space-and …

The optimal homotopy analysis method applied on nonlinear time‐fractional hyperbolic partial differential equation s

G Bahia, A Ouannas, IM Batiha… - Numerical Methods for …, 2021 - Wiley Online Library
In this article, the most recent version of an optimal homotopy analysis method (HAM), called
linearization‐based approach of HAM or simply LHAM, has been applied to obtain a …

Extended cubic B-splines in the numerical solution of time fractional telegraph equation

T Akram, M Abbas, AI Ismail, NHM Ali… - Advances in Difference …, 2019 - Springer
A finite difference scheme based on extended cubic B-spline method for the solution of time
fractional telegraph equation is presented and discussed. The Caputo fractional formula is …

An approximate analytical solution of time-fractional telegraph equation

S Das, K Vishal, PK Gupta, A Yildirim - Applied Mathematics and …, 2011 - Elsevier
In this article, the powerful, easy-to-use and effective approximate analytical mathematical
tool like homotopy analysis method (HAM) is used to solve the telegraph equation with …

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 …

Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients

B Bülbül, M Sezer - International Journal of Computer Mathematics, 2011 - Taylor & Francis
The purpose of this study is to give a Taylor polynomial approximation for the solution of
hyperbolic type partial differential equations with constant coefficients. The technique used …

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 numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials

Ş Yüzbaşı, G Yıldırım - Journal of Taibah University for Science, 2023 - Taylor & Francis
In this article, a collocation approximation is investigated for approximate solutions of
hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly …