Solutions of tenth-order boundary value problems using eleventh degree spline

DOI10.1016/j.amc.2006.07.013zbMath1119.65363OpenAlexW2056967681MaRDI QIDQ870142

Ghazala Akram, Shahid S. Siddiqi

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.013

zbMATH Keywords

algorithmcomparison of methodsnumerical examplesboundary value problemsend conditionseleventh degree spline

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)

Related Items (11)

An innovative harmonic numbers operational matrix method for solving initial value problems ⋮ A reliable algorithm for solving tenth-order boundary value problems ⋮ Numerical solution of higher order boundary value problems ⋮ An exponential spline technique for solving fractional boundary value problem ⋮ Quintic spline technique for time fractional fourth-order partial differential equation ⋮ Numerical treatment of sth order boundary value problems by solving second kind Fredholm integral equations ⋮ Hierarchical cascade model leading to 7-th order initial value problem ⋮ Cubic polynomial spline scheme for fractional boundary value problems with left and right fractional operators ⋮ A Nyström method for solving 2sth order boundary value problems ⋮ Tenth order boundary value problem solution existence by fixed point theorem ⋮ New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems

Cites Work

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• Nonic spline solutions of eighth order boundary value problems
• The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
• Numerical methods for eighth-, tenth- and twelfth-order eigenvalue problems arising in thermal instability
• Solution of fifth order boundary value problems using nonpolynomial spline technique
• Spline solutions of linear tenth-order boundary-value problems^∗

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