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New Numerical Treatment for a Family of Two-Dimensional Fractional Fredholm Integro-Differential Equations

Department of Mathematics and Statistics, Jordan University of Science & Technology, Irbid 22110, Jordan
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Department of Mathematics and Statistics, Jordan University of Science & Technology, Irbid 22110, Jordan; [email protected] (M.A.); [email protected] (K.A.) Correspondence: [email protected] These authors contributed equally to this work.
These authors contributed equally to this work.
Algorithms 2020, 13(2), 37; https://doi.org/10.3390/a13020037
Received: 20 December 2019 / Revised: 30 January 2020 / Accepted: 4 February 2020 / Published: 9 February 2020
In this paper, we present a robust algorithm to solve numerically a family of two-dimensional fractional integro differential equations. The Haar wavelet method is upgraded to include in its construction the Laplace transform step. This modification has proven to reduce the accumulative errors that will be obtained in case of using the regular Haar wavelet technique. Different examples are discussed to serve two goals, the methodology and the accuracy of our new approach.
Keywords: haar wavelet method; laplace transform; numerical solutions; two-dimensional fractional integro differential equation haar wavelet method; laplace transform; numerical solutions; two-dimensional fractional integro differential equation
MDPI and ACS Style

Darweesh, A.; Alquran, M.; Aghzawi, K. New Numerical Treatment for a Family of Two-Dimensional Fractional Fredholm Integro-Differential Equations. Algorithms 2020, 13, 37.

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