Product integration methods for an integral equation with logarithmic singular kernel
Selected papers from the international conference on Numerical solution of Volterra and delay equations
An extrapolation method for a Volterra integral equation with weakly singular kernel
Selected papers of the second international conference on Numerical solution of Volterra and delay equations : Volterra centennial: Volterra centennial
Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
A Nyström interpolant for some weakly singular linear Volterra integral equations
Journal of Computational and Applied Mathematics
On a graded mesh method for a class of weakly singular Volterra integral equations
Journal of Computational and Applied Mathematics
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We consider the numerical treatment of a singular Volterra integral equation with an infinite set of solutions, one of which is smooth and all others have infinite gradient at the origin. This equation has been the subject of previous works, where we have dealt with the approximation of the smooth solution. Here we present numerical methods which enable us to obtain approximations to any of the infinite class of solutions. Some numerical examples are given which illustrate the performance of the methods employed.