Increasing the efficiency of shooting methods for terminal value problems of fractional order

DOI10.1016/j.jcp.2014.10.054zbMath1349.65211OpenAlexW2079342731WikidataQ59411656 ScholiaQ59411656MaRDI QIDQ349915

Kai Diethelm

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.10.054

zbMATH Keywords

numerical solutionshooting methodCaputo derivativeterminal value problem

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (9)

A new approach to shooting methods for terminal value problems of fractional differential equations ⋮ Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions ⋮ A note on terminal value problems for fractional differential equations on infinite interval ⋮ Terminal value problems of non-homogeneous fractional linear systems with general memory kernels ⋮ Existence and attractivity of solutions for fractional difference equations ⋮ Terminal value problems of fractional evolution equations ⋮ A fractional supervision game model of multiple stakeholders and numerical simulation ⋮ Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations ⋮ Upper and lower estimates for the separation of solutions to fractional differential equations

Cites Work

• Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Efficient solution of multi-term fractional differential equations using P(EC)\(^m\)E methods
• Least squares finite-element solution of a fractional order two-point boundary value problem
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Finite element formulation of viscoelastic constitutive equations using fractional time derivatives
• Nonpolynomial collocation approximation of solutions to fractional differential equations
• Volterra integral equations and fractional calculus: do neighboring solutions intersect?
• Algorithms for the fractional calculus: a selection of numerical methods
• Fractional boundary value problems: Analysis and numerical methods
• An extension of the well-posedness concept for fractional differential equations of Caputo’s type
• Stability, Structural Stability and Numerical Methods for Fractional Boundary Value Problems
• High Order Numerical Methods for Fractional Terminal Value Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Increasing the efficiency of shooting methods for terminal value problems of fractional order