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A numerical method for solving the hyperbolic telegraph equation
Author(s) -
Dehghan Mehdi,
Shokri Ali
Publication year - 2008
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20306
Subject(s) - mathematics , telegrapher's equations , ftcs scheme , hyperbolic partial differential equation , partial differential equation , collocation (remote sensing) , collocation method , ordinary differential equation , orthogonal collocation , scheme (mathematics) , mathematical analysis , finite difference method , function (biology) , finite difference scheme , diffusion equation , differential equation , computer science , evolutionary biology , economics , biology , differential algebraic equation , telecommunications , transmission line , economy , service (business) , machine learning
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