Spline solutions of linear tenth-order boundary-value problems∗

DOI10.1080/00207169808804701zbMath0920.65049OpenAlexW4237624448MaRDI QIDQ3838269

Shahid S. Siddiqi, E. H. Twizell

Publication date: 15 June 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804701

zbMATH Keywords

algorithmconvergenceconsistencynumerical exampleserror boundslinear tenth-order boundary value problemstenth-degree splines

Mathematics Subject Classification ID

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)

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Cites Work

• Finite-difference methods for twelfth-order boundary-value problems
• The use of quartic splines in the numerical solution of a fourth-order boundary value problem
• Spline solutions of linear eighth-order boundary-value problems
• Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
• Numerical methods for special nonlinear boundary-value problems of order \(2m\)
• Spline solutions of linear sixth-order boundary-value problems
• Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems
• Numerical methods for the solution of special sixth-order boundary-value problems
• Finite-difference methods for the solution of special eighth-order boundary-value problems