Analytical versus numerical solutions of the nonlinear fractional time–space telegraph equation

MMA Khater, D Lu - Modern Physics Letters B, 2021 - World Scientific
In this paper, the stable analytical solutions' accuracy of the nonlinear fractional nonlinear
time–space telegraph (FNLTST) equation is investigated along with applying the …

Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme

MMA Khater, KS Nisar… - Mathematical Methods in …, 2021 - Wiley Online Library
This manuscript employs the trigonometric Quintic B‐spline (TQBS) scheme for investigating
the numerical solution of the conformable fractional nonlinear time‐space telegraph …

[HTML][HTML] Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

FA Shah, M Irfan, KS Nisar, RT Matoog, EE Mahmoud - Results in Physics, 2021 - Elsevier
In this article, a new and efficient operational matrix method based on the amalgamation of
Fibonacci wavelets and block pulse functions is proposed for the solutions of time-fractional …

Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method

M Dehghan, A Ghesmati - Engineering Analysis with Boundary Elements, 2010 - Elsevier
In this paper, we use a numerical method based on the boundary integral equation (BIE)
and an application of the dual reciprocity method (DRM) to solve the second-order one …

A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions

R Jiwari, S Pandit, RC Mittal - Applied Mathematics and Computation, 2012 - Elsevier
In this article, we proposed a numerical technique based on polynomial differential
quadrature method (PDQM) to find the numerical solutions of two dimensional hyperbolic …

[HTML][HTML] Numerical solution of telegraph equation using interpolating scaling functions

M Lakestani, BN Saray - Computers & Mathematics with Applications, 2010 - Elsevier
A numerical technique is presented for the solution of second order one dimensional linear
hyperbolic equation. This method uses interpolating scaling functions. The method consists …

The use of He's variational iteration method for solving the telegraph and fractional telegraph equations

M Dehghan, SA Yousefi, A Lotfi - International Journal for …, 2011 - Wiley Online Library
In this paper the variational iteration method is used to compute the solution for the linear,
variable coefficient, fractional derivative and multi space telegraph equations. The method …

Combination of meshless local weak and strong (MLWS) forms to solve the two dimensional hyperbolic telegraph equation

M Dehghan, A Ghesmati - Engineering Analysis with Boundary Elements, 2010 - Elsevier
In this paper a numerical approach based on the truly meshless methods is proposed to
deal with the second-order two-space-dimensional telegraph equation. In the meshless …

Numerical solution of second order one dimensional hyperbolic telegraph equation by cubic B-spline collocation method

RC Mittal, R Bhatia - Applied Mathematics and Computation, 2013 - Elsevier
The present paper uses new approach and methodology to solve second order one
dimensional hyperbolic telegraph equation numerically by B-spline collocation method. It is …

[HTML][HTML] 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 …