Sinc-Collection Methods for Two-Point Boundary Value Problems

Numerical Study of Second Painlevé Equation

“…In [4] a Sinc-collocation method for solving linear two-point boundary value problems for second-order differential equations with mixed boundary conditions is presented. Recently there has been work on applications of the Sinc method.…”

Numerical Solution of the Fredholme-Volterra Integral Equation by the Sinc Function

“…The sinc function properties are discussed thoroughly in [3][4][5][6][7][8][9][10]. The sinc function is defined on the real line by …”

A sinc-collocation method for initial value problems

“…Furthermore, the sinc discretization of differential equations, whether by Galerkin or collocation procedures, has been addressed by a number of authors. In particular, Sinc-Collocation procedures for the eigenvalue problem have been addressed in [6,3], and for the two-point boundary value problem in [8,1] and [9]. These procedures, as well as an extensive summary of properties of sinc approximation, can be found in [10].…”

“…Since I 1 m has real entries and is skew-symmetric, its eigenvalues are purely imaginary. To see the first inequality, let v be a unit eigenvector of I 1 m corresponding to the eigenvalue ie 1 . For an arbitrary unit vector z ∈ C 2M one has…”