Septic spline solutions of sixth-order boundary value problems

DOI10.1016/j.cam.2007.04.013zbMath1138.65062OpenAlexW1999925080MaRDI QIDQ2480932

Shahid S. Siddiqi, Ghazala Akram

Publication date: 7 April 2008

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.2007.04.013

zbMATH Keywords

algorithmconvergencecomparison of methodsnumerical examplesboundary value problemserror boundend conditionsseptic spline

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)

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Cites Work

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• A cubic spline method for the solution of a linear fourth-order two-point boundary value problem
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• Bounds for the solution of a second order differential equation with mixed boundary conditions
• Spline solutions of linear sixth-order boundary-value problems
• Numerical methods for the solution of special sixth-order boundary-value problems
• Discrete Variable Methods for a Boundary Value Problem with Engineering Applications
• Sinc-Galerkin method for solving linear sixth-order boundary-value problems
• Some Properties of a Class of Band Matrices
• End conditions for interpolatory septic splines
• The numerical solution of sixth-order boundary value problems by the modified decomposition method

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