Partial differential equations (PDEs) are essential mathematical models for describing a
wide range of physical phenomena. Numerically, Physic-Informed Neural Networks (PINNs) …

In this article, a collocation approximation is investigated for approximate solutions of
hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly …

In this paper we investigate approximate analytical solution so called voltage in one and two
space variables for linear and nonlinear telegraph equations by a reliable method namely …

New Iterative Method: A Review Page 1 Current Developments in Mathematical Sciences,
2018, Vol. 1, 233-268 233 Sachin Bhalekar (Ed.) All rights reserved-© 2018 Bentham Science …

We present a high‐order shifted Gegenbauer pseudospectral method (SGPM) to solve
numerically the second‐order one‐dimensional hyperbolic telegraph equation provided with …

In this study, a collocation method is presented to solve one-dimensional hyperbolic
telegraph equation. The problem is given by hyperbolic telegraph equation under initial and …

We consider an initial-boundary value problem for fractional order telegraph integro-
differential equation. In this study, fractional derivative can be considered in both Riemann …

In this study, a Galerkin-type approach is presented in order to numerically solve one-
dimensional hyperbolic telegraph equation. The method includes taking inner product of a …

This study is devoted to the numerical investigation of linear and nonlinear hyperbolic
telegraph equation. We have proposed a wavelet collocation method based on Legendre …

The aim of this paper is to give a collocation method to solve second-order partial differential
equations with variable coefficients under Dirichlet, Neumann and Robin boundary …