Chester College of New England

About: Chester College of New England is a based out in . It is known for research contribution in the topics: Nurse education & Exponential integrator. The organization has 101 authors who have published 152 publications receiving 10293 citations.

A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations

Abstract: We discuss an Adams-type predictor-corrector method for the numericalsolution of fractional differential equations. The method may be usedboth for linear and for nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator)too.

Detailed error analysis for a fractional Adams method

Abstract: We investigate a method for the numerical solution of the nonlinear fractional differential equation D * α y(t)=f(t,y(t)), equipped with initial conditions y (k)(0)=y 0 (k), k=0,1,...,⌈α⌉−1. Here α may be an arbitrary positive real number, and the differential operator is the Caputo derivative. The numerical method can be seen as a generalization of the classical one-step Adams–Bashforth–Moulton scheme for first-order equations. We give a detailed error analysis for this algorithm. This includes, in particular, error bounds under various types of assumptions on the equation. Asymptotic expansions for the error are also mentioned briefly. The latter may be used in connection with Richardson's extrapolation principle to obtain modified versions of the algorithm that exhibit faster convergence behaviour.

Negative life events, social support and gender difference in depression: a multinational community survey with data from the ODIN study.

Abstract: To explore if differences in negative life events, vulnerability and social support may explain the gender difference in depression. Cross-sectional, multinational, community survey from five European countries (n = 8,787). Depression is measured by Beck Depression Inventory, whereas negative life events and social support are measured by various questionnaires. Women report slightly more negative life events than men do, mainly related to the social network, but more social support in general and in connection with reported life events. This trend is the same in all participating countries except Spain, where there is no gender difference in the reported support. In general, women are not more vulnerable to negative life events than men are. However, women with no social support, who are exposed to life events, are more vulnerable than men without support. The higher rate of depression in women is not explained by gender differences in negative life events, social support or vulnerability.