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The fully Sinc‐Galerkin method for time‐dependent boundary conditions
Author(s) -
Koonprasert Sanoe,
Bowers Kenneth L.
Publication year - 2004
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.10097
Subject(s) - sinc function , mathematics , galerkin method , partial differential equation , kronecker product , boundary value problem , partial derivative , kronecker delta , mathematical analysis , boundary (topology) , exponential function , discontinuous galerkin method , convergence (economics) , finite element method , physics , quantum mechanics , economics , thermodynamics , economic growth
The fully Sinc‐Galerkin method is developed for a family of complex‐valued partial differential equations with time‐dependent boundary conditions. The Sinc‐Galerkin discrete system is formulated and represented by a Kronecker product form of those equations. The numerical solution is efficiently calculated and the method exhibits an exponential convergence rate. Several examples, some with a real‐valued solution and some with a complex‐valued solution, are used to demonstrate the performance of this method. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004
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