Convergence of numerical solution of a fourth-order boundary value problem

DOI10.1016/j.amc.2005.01.117zbMath1094.65076OpenAlexW1990739585MaRDI QIDQ2491025

Jalil Rashidinia, A. Golbabaee

Publication date: 18 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.117

zbMATH Keywords

convergencenumerical exampleserror boundquintic splinemonotone matrixfourth order boundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (13)

Exponential spline approach for the solution of nonlinear fourth-order boundary value problems ⋮ Finite-difference technique based on exponential splines for the solution of obstacle problems ⋮ Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines ⋮ Quintic Spline functions and Fredholm integral equation ⋮ Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory ⋮ A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems ⋮ Numerical methods for nonlinear fourth-order boundary value problems with applications ⋮ Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem ⋮ Exponentially fitted methods applied to fourth-order boundary value problems ⋮ High order accuracy nonpolynomial spline solutions for \(2\mu \)th order two point boundary value problems ⋮ A note on the convergence of fuzzy transformed finite difference methods ⋮ Exponential spline solution of boundary value problems occurring in the plate deflection theory ⋮ Fractal quintic spline solutions for fourth-order boundary-value problems

Cites Work

• Unnamed Item
• Numerical solution of some ordinary differential equations occurring in plate deflection theory
• Numerical solution of a fourthorder ordinary differential equation
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications

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