✦ LIBER ✦

A numerical method for solving the hyperbolic telegraph equation

✍ Scribed by Mehdi Dehghan; Ali Shokri

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 295 KB
Volume: 24
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.20306

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this article, we propose a numerical scheme to solve the one‐dimensional hyperbolic telegraph equation using collocation points and approximating the solution using thin plate splines radial basis function. The scheme works in a similar fashion as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

📜 SIMILAR VOLUMES

Legendre multiwavelet Galerkin method fo

Legendre multiwavelet Galerkin method for solving the hyperbolic telegraph equation

✍ S. A. Yousefi 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB

Numerical solution of hyperbolic telegra

Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method

✍ Abbas Saadatmandi; Mehdi Dehghan 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 251 KB

New algorithm for solving a nonlinear hy

New algorithm for solving a nonlinear hyperbolic telegraph equation with an integral condition

✍ Huanmin Yao; Yingzhen Lin 📂 Article 📅 2010 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 445 KB 👁 1 views

The use of He's variational iteration me

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

✍ Mehdi Dehghan; S. A. Yousefi; A. Lotfi 📂 Article 📅 2011 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 241 KB 👁 2 views

Sequential and parallel methods for solv

Sequential and parallel methods for solving first-order hyperbolic equations

✍ Arigu, M. A. ;Twizell, E. H. ;Gumel, A. B. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 478 KB

Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order o

New numerical method for solving the dyn

New numerical method for solving the dynamic population balance equations

✍ Q. Hu; S. Rohani; A. Jutan 📂 Article 📅 2005 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 136 KB 👁 1 views

## Abstract A new numerical scheme is proposed for solving general dynamic population balance equations (PBE). The PBE considered can simultaneously include the kinetic processes of nucleation, growth, aggregation and breakage. Using the features of population balance, this method converts the PBE