Sinc-Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE

DOI10.1016/j.cam.2006.05.019zbMath1117.65113OpenAlexW2020944444MaRDI QIDQ2370563

Ahniyaz Nurmuhammad, Mayinur Muhammad, Masatake Mori

Publication date: 29 June 2007

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.2006.05.019

zbMATH Keywords

numerical exampleserror boundtwo-point boundary value problemsinc-Galerkin methodsinc-collocation methoddouble exponential transformation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

On the sinc-Galerkin method for triharmonic boundary-value problems ⋮ Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems ⋮ 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 ⋮ Boundary reduction technique and rational Sinc domain decomposition method ⋮ A sinc-Galerkin technique for the numerical solution of a class of singular boundary value problems

Cites Work

• Unnamed Item
• Unnamed Item
• Double exponential transformation in the sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation
• Double exponential formulas for numerical integration
• Optimality of the double exponential formula -- functional analysis approach
• Double exponential transformation in the Sinc-collocation method for two-point boundary value problems
• Symmetrization of the Sinc-Galerkin Method for Boundary Value Problems
• Sinc-Collection Methods 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
• The double-exponential transformation in numerical analysis

This page was built for publication: Sinc-Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE