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Cited by 13 publications
(9 citation statements)
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“…In [29], authors use sinc-Galerkin method to obtain approximate solution of fractional partial differential equations. In [30,32] Sinc methods is also applied for the solution of the second-order ODEs with homogeneous Dirichlet-Type boundary conditions. In [31], sinc-Galerkin method is used for solving fractional boundary value problems approximately.…”
Section: Introductionmentioning
confidence: 99%
“…In [29], authors use sinc-Galerkin method to obtain approximate solution of fractional partial differential equations. In [30,32] Sinc methods is also applied for the solution of the second-order ODEs with homogeneous Dirichlet-Type boundary conditions. In [31], sinc-Galerkin method is used for solving fractional boundary value problems approximately.…”
Section: Introductionmentioning
confidence: 99%
“…In the same context, the Poisson equation was solved using domain decomposition by Lybeck and Bowers. 18,19 For the purpose of achieving higher-order precision, the Sinc-function approximation has also been used in heat transfer problems by Narasimhan, Chen and Stenger, 20,21 Lippke, 22 and others. In Chen and Stenger, 20 the two-dimensional, steady-state heat conduction problems in both a square and a semiinfinite rectangular cavity were considered.…”
Section: Introductionmentioning
confidence: 99%
“…In this study, the steady-state Navier-Stokes equations are repeatedly solved until the modified continuity equation is satisfied. The modified pressure correction algorithm requires one to perform the following steps: (1) Initialize the velocities and pressure 0 u , -collocation expression(18). (3) Update the velocities by using the Sinc-collocation equations for u and v given by Eqs.…”
mentioning
confidence: 99%
“…[8]; that is to say, the inhomogeneous differential equation with the boundary conditions u(−1) = u(4) = 0. The exact solution to this equation is…”
Section: Lmentioning
confidence: 99%
“…Examples of applications of the sinc functions can be found in references [6,7,8,9,10,11], among others. Recently, one of the authors has shown that the sinc collocation methods can be optimized by using a variational approach [12] based on the Principle of Minimal Sensitivity [13].…”
Section: Introductionmentioning
confidence: 99%