An \(O(h^6)\) numerical solution of general nonlinear fifth-order two point boundary value problems

DOI10.1007/s11075-010-9362-4zbMath1209.65079OpenAlexW1994075235MaRDI QIDQ607518

Jalil Rashidinia, Mohamad Ghasemi, Reza Jalilian

Publication date: 22 November 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9362-4

zbMATH Keywords

convergencenumerical resultscollocationB-splineshigh-order nonlinear boundary-value problemsnumerical methods for ODEssextic splines

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (7)

On using cubic spline for the solution of problems in calculus of variations ⋮ New spectral solutions for high odd-order boundary value problems via generalized Jacobi polynomials ⋮ On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems ⋮ Non-optimal fourth-order and optimal sixth-order B-spline collocation methods for Lane-Emden boundary value problems ⋮ A high order numerical method and its convergence for time-fractional fourth order partial differential equations ⋮ Harmonic numbers operational matrix for solving fifth-order two point boundary value problems ⋮ A new superconvergent method for systems of nonlinear singular boundary value problems

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