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2019 Numerical Techniques for Solving Linear Volterra Fractional Integral Equation
Safa’ Hamdan, Naji Qatanani, Adnan Daraghmeh
J. Appl. Math. 2019: 1-9 (2019). DOI: 10.1155/2019/5678103

Abstract

Two numerical techniques, namely, Haar Wavelet and the product integration methods, have been employed to give an approximate solution of the fractional Volterra integral equation of the second kind. To test the applicability and efficiency of the numerical method, two illustrative examples with known exact solution are presented. Numerical results show clearly that the accuracy of these methods are in a good agreement with the exact solution. A comparison between these methods shows that the product integration method provides more accurate results than its counterpart.

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Safa’ Hamdan. Naji Qatanani. Adnan Daraghmeh. "Numerical Techniques for Solving Linear Volterra Fractional Integral Equation." J. Appl. Math. 2019 1 - 9, 2019. https://doi.org/10.1155/2019/5678103

Information

Received: 2 May 2019; Accepted: 24 July 2019; Published: 2019
First available in Project Euclid: 23 May 2020

zbMATH: 07165625
MathSciNet: MR4045633
Digital Object Identifier: 10.1155/2019/5678103

Rights: Copyright © 2019 Hindawi

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