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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4884711
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