Meshless local Petrov–Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation

E Shivanian - Engineering Analysis with Boundary Elements, 2015 - Elsevier
This paper proposes an approach based on the Galerkin weak form and moving least
squares (MLS) approximation to simulate three space dimensional nonlinear wave equation …

Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem

AG Atta, WM Abd-Elhameed, GM Moatimid… - Mathematical …, 2023 - Springer
A new numerical scheme based on the tau spectral method for solving the linear hyperbolic
telegraph type equation is presented and implemented. The derivation of this scheme is …

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 …

A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method

RC Mittal, R Bhatia - Applied Mathematics and Computation, 2014 - Elsevier
The present paper uses a relatively new approach and methodology to solve second order
two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline …

An accurate localized meshfree collocation technique for the telegraph equation in propagation of electrical signals

O Nikan, Z Avazzadeh, JAT Machado… - Engineering with …, 2023 - Springer
This paper presents an accurate localized meshfree collocation technique for the
approximate solution of the second-order two-dimensional telegraph model. This model is …

[HTML][HTML] Shifted Jacobi spectral-Galerkin method for solving hyperbolic partial differential equations

EH Doha, RM Hafez, YH Youssri - Computers & Mathematics with …, 2019 - Elsevier
Herein, we propose a numerical scheme to solve spectrally hyperbolic partial differential
equations (HPDEs) using Galerkin method and approximate the solutions using double …

Numerical study of integer-order hyperbolic telegraph model arising in physical and related sciences

I Ahmad, H Ahmad, AE Abouelregal… - The European Physical …, 2020 - Springer
More recently, it is discovered in the field of applied sciences and engineering that the
telegraph equation is better suited to model reaction-diffusion than the ordinary diffusion …

Solving the telegraph equation in 2-D and 3-D using generalized finite difference method (GFDM)

F Ureña, L Gavete, JJ Benito, A García… - Engineering Analysis with …, 2020 - Elsevier
In this paper it is shown the application of the generalized finite difference method (GFDM)
for solving numerically the Telegraph equation in two and three-dimensional spaces. The …

A Haar wavelet collocation approach for solving one and two‐dimensional second‐order linear and nonlinear hyperbolic telegraph equations

M Asif, N Haider, Q Al‐Mdallal… - Numerical Methods for …, 2020 - Wiley Online Library
We have developed a new numerical method based on Haar wavelet (HW) in this article for
the numerical solution (NS) of one‐and two‐dimensional hyperbolic Telegraph equations …

Haar wavelets operational matrix based algorithm for computational modelling of hyperbolic type wave equations

S Pandit, R Jiwari, K Bedi, ME Koksal - Engineering Computations, 2017 - emerald.com
Purpose The purpose of this study is to develop an algorithm for approximate solutions of
nonlinear hyperbolic partial differential equations. Design/methodology/approach In this …