Collocation for high-order differential equations with Lidstone boundary conditions
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Publication:1760554
DOI10.1155/2012/120792zbMath1251.65164OpenAlexW2163073007WikidataQ58905708 ScholiaQ58905708MaRDI QIDQ1760554
Anna Napoli, Francesco Aldo Costabile
Publication date: 15 November 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/120792
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items (15)
An innovative harmonic numbers operational matrix method for solving initial value problems ⋮ Numerical solution of fourth-order BVPs by using Lidstone-collocation method ⋮ Numerical Solution of Eighth-order Boundary Value Problems by Using Legendre Polynomials ⋮ A class of Birkhoff-Lagrange-collocation methods for high order boundary value problems ⋮ Odd and even Lidstone-type polynomial sequences. I: Basic topics ⋮ Existence and location of solutions to fourth-order Lidstone coupled systems with dependence on odd derivatives ⋮ Collocation for high order differential equations with two-points Hermite boundary conditions ⋮ A new spectral method for a class of linear boundary value problems ⋮ A unified approach for solving linear and nonlinear odd-order two-point boundary value problems ⋮ Lidstone-based collocation splines for odd-order BVPs ⋮ Lidstone-Euler interpolation and related high even order boundary value problem ⋮ Lidstone-Euler second-type boundary value problems: theoretical and computational tools ⋮ Odd and even Lidstone-type polynomial sequences. II: Applications ⋮ A method for high-order multipoint boundary value problems with Birkhoff-type conditions ⋮ Numerical solution of high order Bernoulli boundary value problems
Cites Work
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