In this work, we will consider piecewise polynomial collocation methods for a new class of
integral–algebraic equations of index-3. An analysis of the global convergence properties of …

This paper deals with some theoretical and numerical results for Volterra Integral Algebraic
Equations (IAEs) of index-1 with weakly singular kernels. This type of equations typically has …

∫+ Numerical Solution of Integral Algebraic Equations for Multistep Methods Page 1 ISSN
0965 5425, Computational Mathematics and Mathematical Physics, 2012, Vol. 52, No. 5, pp …

In this article, we study the piecewise multistep collocation method for a class of functional
integral equations with non-vanishing delays. Based on the notions of the tractability index …

Our analysis of collocation solutions for general systems of linear integral-algebraic
equations (IAEs) is based on the notions of the tractability index and the ν-smoothing …

This paper presents a high accurate and stable Legendre-collocation method for solving
systems of Volterra integral equations (SVIEs) of the second kind. The method transforms …

In this paper, we consider product integration method based on orthogonal polynomials to
solve mixed system of Volterra integral equations of the first and second kind with weakly …

Based on the least‐squares method, we proposed a new algorithm to obtain the solution of
the second kind of regular and weakly singular Volterra‐Fredholm integral equations in …

In a previous paper SIAM J. Numer. Anal., 51 (2013), pp. 2238--2259 we analyzed the
optimal orders of convergence of piecewise polynomial collocation solutions for systems of …

We consider systems of integral-algebraic and integro-differential equations with weakly
singular kernels. Although these problem classes are not in the focus of the main stream …