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.
On a cubic B-splines fuzzy transform based approach for weakly singular volterra integral equations with proportional delay
Tomasiello S.
2020-01-01
Abstract
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.File in questo prodotto:
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