Numerical approximation for the solution of linear sixth order boundary value problems by cubic B-spline

DOI10.1186/s13662-019-2385-9zbMath1487.65091OpenAlexW2990866584WikidataQ126669609 ScholiaQ126669609MaRDI QIDQ2142000

Yanyan Li

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2385-9

zbMATH Keywords

numerical approximationcubic B-splineabsolute relative errorlinear sixth order BVPs

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 (9)

Stability analysis of initial value problem of pantograph-type implicit fractional differential equations with impulsive conditions ⋮ SPLINES SOLUTIONS OF HIGHER-ORDER BVPs THAT ARISE IN CONSISTENT MAGNETIZED FORCE FIELD ⋮ Contributions of the fixed point technique to solve the 2D Volterra integral equations, Riemann-Liouville fractional integrals, and Atangana-Baleanu integral operators ⋮ The iterative positive solution for a system of fractional \(q\)-difference equations with four-point boundary conditions ⋮ Numerical solution of the coupled Burgers equation by trigonometric B‐spline collocation method ⋮ Crank-Nicolson-weighted-shifted-Grünwald-difference schemes for space Riesz variable-order fractional diffusion equations ⋮ Some oscillation theorems for nonlinear second-order differential equations with an advanced argument ⋮ New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems ⋮ Multi-block generalized Adams-type integration methods for differential algebraic equations

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