A sinc-collocation method for initial value problems

DOI10.1090/S0025-5718-97-00789-8zbMath0854.65054MaRDI QIDQ5691009

John R. Lund, Timothy S. Carlson, Jack D. Dockery

Publication date: 9 January 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (18)

The use of Sinc-collocation method for solving Falkner-Skan boundary-layer equation ⋮ Matrices of Sinc methods ⋮ Numerical solution of system of nonlinear second-order integro-differential equations ⋮ Unnamed Item ⋮ A system of ODEs for a perturbation of a minimal mass soliton ⋮ Sinc-collocation method for solving the Blasius equation ⋮ Fractional differential quadrature techniques for fractional order Cauchy reaction‐diffusion equations ⋮ Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method ⋮ On the computation of eigenvalues of the anharmonic Coulombic potential ⋮ Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration ⋮ Theoretical analysis of sinc-collocation methods and sinc-Nyström methods for systems of initial value problems ⋮ Shock wave simulations using Sinc Differential Quadrature Method ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Collocation method using sinc and rational Legendre functions for solving Volterra's population model ⋮ Preconditioners for non-Hermitian Toeplitz systems ⋮ Vibration analysis of piezoelectric composite plate resting on nonlinear elastic foundations using sinc and discrete singular convolution differential quadrature techniques ⋮ Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation ⋮ Numerical solution of linear integral equations by using sinc-collocation method

Cites Work

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• Numerical methods for discontinuous linear boundary value problems with deviation arguments
• Sinc Function computation of the eigenvalues of Sturm-Liouville problems
• A Sine-Collocation Method for the Computation of the Eigenvalues of the Radial Schrödinger Equation
• Cardinal-Type Approximations of a Function and Its Derivatives
• Convergence of the Sinc Method for a Fourth-Order Ordinary Differential Equation with an Application

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