A Unified Approach to Convergence Analysis of Discretization Methods for Volterra-typeEquations

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Abstract
This paper presents a general convergence analysis of numerical methods for solving ordinary differential equations and non-liner Volterra integral and integrodifferential euqations. The concept of analytic and discrete forms is introduced, Prolongation and restriction operators reduce the problem of comparing the fundamental forms. Integral inequalities and their discrete analogues proof of a collocation method for solving Volterra integral equations of the second kind.

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