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Solving time-dependent engineering problems with multiquadries
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DOI：10.1016/j.jsv.2003.12.043.png)
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Abstract
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This paper deals with the solution of time-dependent problems. The multiquadric radial basis function method is formulated, with a new approach for transient problems. One- and two-dimensional problems are considered. The forward difference and the Crank-Nicolson time-marching schemes for parabolic cases are considered. The central difference integration method of the Newmark family is considered for hyperbolic problems. The method proves its accuracy in four numerical examples. (C) 2004 Elsevier Ltd. All rights reserved.
Keywords:
RADIAL BASIS FUNCTIONS
POINT INTERPOLATION METHOD
DATA APPROXIMATION SCHEME
KERNEL PARTICLE METHODS
NUMERICAL-SOLUTION
FORMULATION
HYDRODYNAMICS
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