Add to ORKGWe consider linear weakly singular Volterra integral equations of the second kind, with kernels of the form k(x; v) = |x − v|^(-alfa)K(x; v); 0<alfa<1, or k(x; v) = log|x − v|K(x; v), K(x; v) being a smooth function. The solutions of such equations may exhibit a singular behaviour in the neighbourhood of the initial point of the interval of integration. By a transformation of the unknown function we obtain an equation which is still weakly singular, but whose solution is as smooth as we like. This resulting equation is then solved by standard product integration methods
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
AbstractThis work is concerned with the numerical solution of a nonlinear weakly singular Volterra i...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...
AbstractWe consider linear weakly singular Volterra integral equations of the second kind, with kern...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whos...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whos...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
We propose a piecewise polynomial collocation method for solving linear Volterra integral equations ...
In this talk we consider a nonlinear integral equation with weakly singular kernel [1], [2]. A serie...
In this thesis, the focus of our attention is on a certain linear Volterra integral equation with si...
In this paper we show that a known technique of smoothing can be successfully employed in the numer...
This work provides solutions to some continuous and weakly singular linear Volterra integral equatio...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
AbstractThis work is concerned with the numerical solution of a nonlinear weakly singular Volterra i...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...
AbstractWe consider linear weakly singular Volterra integral equations of the second kind, with kern...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whos...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whos...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
This paper provides a Nyström method for the numerical solution of Volterra integral equations whose...
We propose a piecewise polynomial collocation method for solving linear Volterra integral equations ...
In this talk we consider a nonlinear integral equation with weakly singular kernel [1], [2]. A serie...
In this thesis, the focus of our attention is on a certain linear Volterra integral equation with si...
In this paper we show that a known technique of smoothing can be successfully employed in the numer...
This work provides solutions to some continuous and weakly singular linear Volterra integral equatio...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
We consider finding asymptotic solutions of the singularly perturbed linear Volterra in-tegral equat...
AbstractThis work is concerned with the numerical solution of a nonlinear weakly singular Volterra i...
summary:We give sufficient conditions for the existence of at least one integrable solution of equat...