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A meshless method for numerical solution of a linear hyperbolic equation with variable coefficients in two space dimensions
Author(s) -
Dehghan Mehdi,
Shokri Ali
Publication year - 2009
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.20357
Subject(s) - mathematics , orthogonal collocation , mathematical analysis , regularized meshless method , singular boundary method , dirichlet boundary condition , partial differential equation , collocation method , variable (mathematics) , dirichlet problem , collocation (remote sensing) , hyperbolic partial differential equation , space (punctuation) , boundary value problem , differential equation , ordinary differential equation , boundary element method , finite element method , linguistics , philosophy , physics , remote sensing , geology , thermodynamics
A meshless method is proposed for the numerical solution of the two space dimensional linear hyperbolic equation subject to appropriate initial and Dirichlet boundary conditions. The new developed scheme uses collocation points and approximates the solution employing thin plate splines radial basis functions. Numerical results are obtained for various cases involving variable, singular and constant coefficients, and are compared with analytical solutions to confirm the good accuracy of the presented scheme. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009