scholarly journals New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval

2020 ◽  
Vol 373 ◽  
pp. 112358 ◽  
Author(s):  
Tomoaki Okayama ◽  
Yuya Shintaku ◽  
Eisuke Katsuura
Keyword(s):  
Infinite Interval ◽  
Conformal Map ◽  
Sinc Approximation

Sinc Approximation

1995 ◽  
Author(s):  
Marek A. Kowalski ◽  
Krzystof A. Sikorski ◽  
Frank Stenger
Keyword(s):  
Boundary Layer ◽  
Infinite Interval ◽  
Sinc Approximation ◽  
End Point ◽  
New Family ◽  
Methods Of Approximation

Sine methods are a new family of self-contained methods of approximation, which have several advantages over classical methods of approximation in the case of the presence of end-point singularities, in the case when we have a semi-infinite or infinite interval of approximation, or in the case of the presence of a boundary layer situation.

THEORY OF INTERPOLATION ON INFINITE INTERVAL—I

1986 ◽  
Vol 6 (4) ◽  
pp. 373-378
Author(s):  
K.B. Srivastava
Keyword(s):  
Infinite Interval

scholarly journals A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
E. H. Doha ◽  
D. Baleanu ◽  
A. H. Bhrawy ◽  
R. M. Hafez
Keyword(s):  
Numerical Solutions ◽  
Rational Functions ◽  
Absolute Error ◽  
Delay Systems ◽  
Infinite Interval ◽  
Algebraic Equations ◽  
Collocation Points ◽  
Nonlinear Algebraic Equations ◽  
Linear And Nonlinear ◽  
Pseudospectral Scheme

A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. A Legendre rational collocation method based on Legendre rational-Gauss quadrature points is utilized to reduce the solution of such systems to systems of linear and nonlinear algebraic equations. In addition, accurate approximations are achieved by selecting few Legendre rational-Gauss collocation points. The numerical results obtained by this method have been compared with various exact solutions in order to demonstrate the accuracy and efficiency of the proposed method. Indeed, for relatively limited nodes used, the absolute error in our numerical solutions is sufficiently small.

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