Numerical solution of fourth-order problems with separated boundary conditions

DOI10.1016/j.amc.2007.02.116zbMath1193.65130OpenAlexW2085919237MaRDI QIDQ990476

S. R. Alavizadeh, G. Barid Loghmani

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.116

zbMATH Keywords

boundary value problemsleast square methodB-splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions ⋮ Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory ⋮ Application of least square method to arbitrary-order problems with separated boundary conditions ⋮ Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ Fractal quintic spline solutions for fourth-order boundary-value problems ⋮ Study of fourth-order boundary value problem based on Volterra–Fredholm equation: numerical treatment

Cites Work

• Unnamed Item
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• Existence of positive solutions for fourth-order boundary value problem with variable parameters
• Numerical solution of sixth order boundary value problems with sixth degree B-spline functions
• Comment on the paper ``A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications
• Numerical solution of third-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• A practical guide to splines
• Nonresonance conditions for fourth order nonlinear boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• The method of lower and upper solutions for a bending of an elastic beam equation
• A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Orthonormal bases of compactly supported wavelets
• Fourth-Order Two-Point Boundary Value Problems
• On the existence of positive solutions of fourth-order ordinary differential equations
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

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