An algorithm for solving linear Volterra integro-differential equations

Authors:
Isabella Cravero;Giovanna Pittaluga;Laura Sacripante
Affiliations:
Dipartimento di Matematica, Università di Torino, Torino, Italia 10123;Dipartimento di Matematica, Università di Torino, Torino, Italia 10123;Dipartimento di Matematica, Università di Torino, Torino, Italia 10123
Venue:
Numerical Algorithms
Year:
2012

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Abstract

An efficient numerical procedure for solving linear second order Volterra integro-differential equations is presented herein. The scheme is based on B-spline collocation and cubature formulas. Analysis is accompanied by numerical examples. Results confirm reliability and efficiency of the proposed algorithm.