×

zbMATH — the first resource for mathematics

Detailed error analysis for a fractional Adams method. (English) Zbl 1055.65098
The authors use the equivalent Volterra integral equation to derive a generalization of the Adams-Bashforth/Moulton method for a fractional differential equation. They provide an error analysis and give a numerical example.

MSC:
65L70 Error bounds for numerical methods for ordinary differential equations
65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
26A33 Fractional derivatives and integrals
65L20 Stability and convergence of numerical methods for ordinary differential equations
65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
PDF BibTeX XML Cite
Full Text: DOI