What is it about?

The principal objective of this paper is to introduce an efficient numerical method based on LWs and Legendre– Gauss quadrature rule to estimate the approximate solution of fractional Fredholm–Volterra integro-differential equations. These types of equations have appeared in the modelling of many phenomena.

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Why is it important?

The modified operational matrices of integration and pseudo-operational fractional derivative for the proposed wavelet functions are calculated. These matrices in comparison to operational matrices existing in other methods are more accurate. The Lucas wavelets and their operational matrices provide the precise numerical scheme to get the approximate solution.

Perspectives

This article contains a new numerical method that can be used to solve many problems.

Dr. Haniye Dehestani
Alzahra University

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This page is a summary of: Combination of Lucas wavelets with Legendre–Gauss quadrature for fractional Fredholm–Volterra integro-differential equations, Journal of Computational and Applied Mathematics, January 2021, Elsevier, DOI: 10.1016/j.cam.2020.113070.
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