Spline collocation for nonlinear fractional boundary value problems

DOI10.1016/j.amc.2014.07.016zbMath1337.65106OpenAlexW2047718659MaRDI QIDQ278386

Arvet Pedas, Enn Tamme

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.016

zbMATH Keywords

boundary value problemspline collocation methodCaputo derivativegraded gridnonlinear fractional differential equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (16)

A novel method for solving second order fractional eigenvalue problems ⋮ Spline collocation for fractional weakly singular integro-differential equations ⋮ A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations ⋮ Stability of two-step spline collocation methods for initial value problems for fractional differential equations ⋮ Central part interpolation schemes for a class of fractional initial value problems ⋮ Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations ⋮ Smoothing transformation and spline collocation for linear fractional boundary value problems ⋮ A robust numerical method for a fractional differential equation ⋮ Smoothing transformation and spline collocation for nonlinear fractional initial and boundary value problems ⋮ Stability analysis of spline collocation methods for fractional differential equations ⋮ Modified spline collocation for linear fractional differential equations ⋮ Piecewise Polynomial Collocation for a Class of Fractional Integro-Differential Equations ⋮ Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions ⋮ A posteriori error analysis for a fractional differential equation ⋮ TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS ⋮ A new algorithm for nonlinear fractional BVPs

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