Derakhshan, Maryam; Zarebnia, Mohammad New approach for solution of Volterra integral equations using spline quasi-interpolant. (English) Zbl 1446.65207 J. Hyperstruct. 8, No. 2, 156-170 (2020). Summary: In this paper, we present quadratic rule for approximate solution of integrals using spline quasi-interpolant. The method is applied for solving the linear Volterra integral equations. Also the convergence analysis of the method is given. The method is applied to a few examples to illustrate the accuracy and implementation of the method. MSC: 65R20 Numerical methods for integral equations 41A15 Spline approximation 45D05 Volterra integral equations 45M05 Asymptotics of solutions to integral equations Keywords:spline; quasi-interpolant; Volterra integral equation; convergence PDFBibTeX XMLCite \textit{M. Derakhshan} and \textit{M. Zarebnia}, J. Hyperstruct. 8, No. 2, 156--170 (2020; Zbl 1446.65207) Full Text: Link