Spline collocation for fractional weakly singular integro-differential equations

DOI10.1016/J.APNUM.2016.07.011zbMath1351.65103OpenAlexW2479417625MaRDI QIDQ321387

Mikk Vikerpuur, Arvet Pedas, Enn Tamme

Publication date: 13 October 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.07.011

zbMATH Keywords

convergencenumerical examplecollocation methodboundary value problemCaputo derivativegraded gridfractional weakly singular integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33)

Related Items (14)

Central part interpolation schemes for a class of fractional initial value problems ⋮ COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS ⋮ A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients ⋮ Analysis of a new partial integro-differential equation with mixed fractional operators ⋮ A method for fractional Volterra integro-differential equations by Laguerre polynomials ⋮ Unnamed Item ⋮ Solution of weakly singular fractional integro-differential equations by using a new operational approach ⋮ Euler wavelets method for solving fractional-order linear Volterra-Fredholm integro-differential equations with weakly singular kernels ⋮ Generalized Jacobi-Galerkin method for nonlinear fractional differential algebraic equations ⋮ Solving fractional Fredholm integro-differential equations using Legendre wavelets ⋮ Laguerre polynomial solutions of linear fractional integro-differential equations ⋮ Numerical solution of linear fractional weakly singular integro-differential equations with integral boundary conditions ⋮ Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method ⋮ TWO COLLOCATION TYPE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS

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