Acta Mathematica Vietnamica
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SPLINE COLLOCATION METHODS FOR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF SECOND ORDER
NGUYEN MINH CHUONG, NGUYEN VAN TUANpp. 85-98
Abstract
A spline collocation method is used to solve approximately a general class of boundary value problem for integro-differential equations of second order. Theorem of existence and uniqueness of approximant via diagonally dominant matrix is shown. Theorem of convergence rate of second order for approximate solutions is obtained,