Double exponential transformation in the sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation

DOI10.1016/j.cam.2004.09.061zbMath1073.65064OpenAlexW2163912052WikidataQ115359891 ScholiaQ115359891MaRDI QIDQ557736

Mayinur Muhammad, Masaaki Sugihara, Ahniyaz Nurmuhammad, Masatake Mori

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.061

zbMATH Keywords

comparison of methodsnumerical examplesconvergence ratesinc-collocation methoddouble exponential transformationBoundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (21)

Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations ⋮ On sinc discretization and banded preconditioning for linear third-order ordinary differential equations ⋮ A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions ⋮ Sinc-Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE ⋮ A mini-review of numerical methods for high-order problems† ⋮ Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ Numerical Green's function method based on the DE transformation ⋮ Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation ⋮ An efficient sinc-collocation method via the DE transformation for eighth-order boundary value problems ⋮ Application of sinc-Galerkin method to singularly perturbed parabolic convection-diffusion problems ⋮ The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations ⋮ A formally second‐order <scp>backward differentiation formula</scp> Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation ⋮ Numerical solution of differential equations using Sinc method based on the interpolation of the highest derivatives ⋮ A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules ⋮ DE-sinc method for second order singularly perturbed boundary value problems ⋮ The sinc-collocation and sinc-Galerkin methods for solving the two-dimensional Schrödinger equation with nonhomogeneous boundary conditions ⋮ The impact of two transformations on the solutions of second kind Fredholm integral equations system ⋮ On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods ⋮ A spectral order method for solving the nonlinear fourth-order time-fractional problem ⋮ Numerical solutions of a system of singularly perturbed reaction-diffusion problems

Cites Work

• Unnamed Item
• Double exponential formulas for numerical integration
• Optimality of the double exponential formula -- functional analysis approach
• Double exponential formulas for numerical indefinite integration.
• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• The Sinc-Galerkin Method for Fourth-Order Differential Equations
• Near optimality of the sinc approximation
• Convergence of the Sinc Method for a Fourth-Order Ordinary Differential Equation with an Application
• Inequalities: theory of majorization and its applications
• The double-exponential transformation in numerical analysis

This page was built for publication: Double exponential transformation in the sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation