𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Multistep Methods for Differential Equations of Fractional Order

✍ Scribed by Luciano Galeone; Roberto Garrappa


Publisher
SP Birkhäuser Verlag Basel
Year
2006
Tongue
English
Weight
318 KB
Volume
3
Category
Article
ISSN
1660-5446

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On some explicit Adams multistep methods
✍ Roberto Garrappa 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 781 KB

In this paper we present a family of explicit formulas for the numerical solution of differential equations of fractional order. The proposed methods are obtained by modifying, in a suitable way, Fractional-Adams-Moulton methods and they represent a way for extending classical Adams-Bashforth multis

Variable multistep methods for higher-or
✍ J.A. Martín; O. García 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 865 KB

In this paper, variable stepsize multistep methods for higher-order delay differential equations of the type y(')(t) = f(t,y(t),y(t -r)) are proposed. Explicit error bounds for the global discretization error are given. It is proved that a variable multistep method which is a perturbation of strongl

Higher order implicit multistep methods
✍ J.L. Morera; G. Rubio; L. Jódar 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 510 KB

This paper proposes implicit multistep matrix methods for the numerical solution of stiff initial value matrix problems. The study of matrix difference equations involving the matrix coefficients of the multistep method permits one to obtain convergence results, as well as bounds for the global disc