ON A CUBIC B-SPLINES FUZZY TRANSFORM BASED APPROACH FOR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATIONS WITH PROPORTIONAL DELAY

摘要

In this note, a numerical algorithm which combines fuzzy transform and Picard-like recursions is adapted for solving weakly singular Volterra integral equations (WSVIs) with proportional delay. Under certain hypotheses, the proposed method provides a non-recursive approximate solution based on operational matrices and vectors of known quantities. Numerical results show the good performance of the proposed method against known solutions.