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Sinc-Galerkin Method for the Poisson Problem
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Sinc-Galerkin method for numerical solution of the Bratu’s problems
Numerical Algorithms, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jalil Rashidinia +2 more
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Sinc-Galerkin method for solving biharmonic problems
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adel Mohsen, Mohamed El-Gamel
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On the sinc-Galerkin method for triharmonic boundary-value problems
Computers and Mathematics With Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed El-Gamel
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The Sinc-Galerkin Method for Fourth-Order Differential Equations
SIAM Journal on Numerical Analysis, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The fully Sinc-Galerkin method for time-dependent boundary conditions
Numerical Methods for Partial Differential Equations, 2004AbstractThe 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
Koonprasert, Sanoe, Bowers, Kenneth L.
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Numerical Solution of Singular Poisson Problems via the Sinc–Galerkin Method
SIAM Journal on Numerical Analysis, 1987One- and two-dimensional Poisson problems with homogeneous Dirichlet boundary conditions on the unit square are considered. Assuming the solutions or its partial derivatives are undefined on the boundary the convenient approximations by the Galerkin method with sinc functions for the basis elements are used.
Kenneth L Bowers, John Lund
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Error analysis of sinc-Galerkin method for time-dependent partial differential equations
Numerical Algorithms, 2017The author groups some different problems such as diffusion-convection, nonhomogeneous heat and wave equation in a single model \[ \frac{\partial^\sigma u}{\partial t^{\sigma}}+ (\sigma-1)A(x)\frac{\partial u}{\partial t}= u_{xx}+ (\sigma- 2)B(x)u_{x} + C(x)u(x)+f(x,t,u ...
Mohamed El-Gamel, El-Gamel Mohamed
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