Collocation methods for general Riemann-Liouville two-point boundary value problems

DOI10.1007/S10444-018-9645-1zbMath1415.65168OpenAlexW2900293207WikidataQ128973057 ScholiaQ128973057MaRDI QIDQ2000504

Martin Stynes, Hui Liang

Publication date: 28 June 2019

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-018-9645-1

zbMATH Keywords

collocation methodsVolterra integral equationtwo-point boundary value problemfractional derivativeRiemann-Liouville derivative

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for integral transforms (65R10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (19)

An hp-version spectral collocation method for multi-term nonlinear fractional initial value problems with variable-order fractional derivatives ⋮ Convergence analysis of the \textit{hp}-version spectral collocation method for a class of nonlinear variable-order fractional differential equations ⋮ Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysis ⋮ Spectral collocation method for nonlinear Caputo fractional differential system ⋮ Analysis of a finite difference scheme for a nonlinear Caputo fractional differential equation on an adaptive grid ⋮ An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions ⋮ An effective finite element method with shifted fractional powers bases for fractional boundary value problems ⋮ A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions ⋮ Spectral collocation method for nonlinear Riemann-Liouville fractional differential system ⋮ An efficient numerical method for a Riemann-Liouville two-point boundary value problem ⋮ Spectral collocation method for nonlinear Riemann-Liouville fractional differential equations ⋮ Unnamed Item ⋮ Existence of periodic, solitary and compacton travelling wave solutions of a \((3+1)\)-dimensional time-fractional nonlinear evolution equations with applications ⋮ Analysis of BDF2 finite difference method for fourth-order integro-differential equation ⋮ A fractional spectral collocation method for general Caputo two-point boundary value problems ⋮ Singularity preserving spectral collocation method for nonlinear systems of fractional differential equations with the right-sided Caputo fractional derivative ⋮ Solve Riemann-Liouville boundary value problems using collocation boundary value methods with the graded mesh ⋮ Spectral collocation method for Caputo fractional terminal value problems ⋮ Convergence analysis of a finite difference scheme for a Riemann-Liouville fractional derivative two-point boundary value problem on an adaptive grid

Cites Work

• Which functions are fractionally differentiable?
• Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
• Spline collocation methods for linear multi-term fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Wellposedness of Neumann boundary-value problems of space-fractional differential equations
• Collocation methods for general Caputo two-point boundary value problems
• Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
• Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

This page was built for publication: Collocation methods for general Riemann-Liouville two-point boundary value problems