A Nyström method for solving a boundary value problem on \([-1,1]\)

DOI10.1007/s10092-009-0010-0zbMath1186.65102OpenAlexW1977717063MaRDI QIDQ2379374

Carmelina Frammartino

Publication date: 19 March 2010

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-009-0010-0

zbMATH Keywords

stabilityconvergenceFredholm integral equationsnumerical examplesNyström methodsecond order boundary value problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Fredholm integral equations (45B05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (1)

Asymptotic expansions for approximate solutions of Fredholm integral equations with Green's function type kernels

Cites Work

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• Spline solutions of linear twelfth-order boundary-value problems
• A Nyström method for solving 2sth order boundary value problems
• Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
• Hilbert transforms and Lagrange interpolation
• Differential quadrature solutions of eighth-order boundary-value differential equations
• Parametric cubic spline solution of two point boundary value problems
• Septic spline solutions of sixth-order boundary value problems
• Cubic splines method for solving fourth-order obstacle problems
• The Numerical Solution of Integral Equations of the Second Kind

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