$A$-stable methods of high order for Volterra integral equations

General linear methods for Volterra integral equations

s of IWANASP, September 10 – 12, 2008, Ericeira, Portugal GENERAL LINEAR METHODS FOR VOLTERRA INTEGRAL EQUATIONS ZDZISÃlAW JACKIEWICZ Departament of Mathematics, Arizona State University Tempe, Arizona 85287, USA E-mail: [email protected] We investigate the class of general linear methods of order p and stage order q = p for the numerical solution of Volterra integral equations of the se...

APPLICATION OF FUZZY EXPANSION METHODS FOR SOLVING FUZZY FREDHOLM- VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND

In this paper we intend to offer new numerical methods to solvethe fuzzy Fredholm- Volterra integral equations of the firstkind $(FVFIE-1)$. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods.  

A computational method for nonlinear mixed Volterra-Fredholm integral equations

In this article the nonlinear mixed Volterra-Fredholm integral equations are investigated by means of the modied three-dimensional block-pulse functions (M3D-BFs). This method converts the nonlinear mixed Volterra-Fredholm integral equations into a nonlinear system of algebraic equations. The illustrative   examples are provided to demonstrate the applicability and simplicity of our   scheme.    

Theoretical analysis of Sinc-Nyström methods for Volterra integral equations

Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments

In this paper we give a complete analysis of the global convergence and local superconvergence properties of piecewise polynomial collocation for Volterra integral equations with constant delay. This analysis includes continuous collocation-based Volterra-Runge-Kutta methods as well as iterated collocation methods and their discretizations.