Work

Convergence analysis of the Legendre wavelets method for a class of Fredholm-Volterra integro-differential equations of fractional-order

Year: 2025

Type: article

Abstract: In this paper, we develop a Legendre wavelets method for the numerical solution of Fredholm-Volterra integro-differential equations of fractional order. The Caputo sense is used to explain the fractional derivative operator. The proposed scheme is verified by presenting examples that their exact solutions are available. Numerical results show that the approximation errors decay exponentially in L2 -norm.

Source: Miskolc mathematical notes/Mathematical notes

DOI: 10.18514/mmn.2025.4553

Author: Marziyeh Felahat

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410602738

FWCI:

Cites: 22

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Related to: 10