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Acta Mathematica Vietnamica

SPLINE COLLOCATION METHODS FOR A SYSTEM OF NONLINEAR FREDHOLM-VOLTERRA INTEGRAL EQUATIONS

NGUYEN MINH CHUONG, NGUYEN VAN TUAN

Abstract

In this paper we shall apply spline collocation methods to solve approximately a system of nonlinear Fredholm-Volterra integral equations. We shall study existence and uniqueness conditions for collocation solution, and estimate the convergence rate. Some applications are shown.