New 2D numerical integration formula based on the Legendre wavelets

Bouzid, Leila; Lahmar-Ablaoui, Naima; Maamar, Maghnia Hamou

doi:10.47974/JIM-1509

Open Access Research Article

New 2D numerical integration formula based on the Legendre wavelets

^*Leila BouzidCorresponding authorleila.bouzid@univ-mosta.dzDepartment of Mathematics and Computer ScienceFaculty of Exact Sciences and Computer ScienceUniversity of MostaganemMostaganem, 27000, AlgeriaView full profile → , Naima Lahmar-Ablaouinaima.ablaoui@univ-mosta.dzDepartment of Mathematics and Computer ScienceFaculty of Exact Sciences and Computer ScienceUniversity of MostaganemMostaganem, 27000, AlgeriaView full profile → , Maghnia Hamou Maamarmaghnia.hamoumaamar@univ-mosta.dzDepartment of Mathematics and Computer ScienceFaculty of Exact Sciences and Computer ScienceUniversity of MostaganemMostaganem, 27000, AlgeriaView full profile →

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pp. 835–847Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1509XML

Received:: 08 Jul 2021
Accepted:: 05 Jan 2022
Published Online:: 08 Sep 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1509
Pages:: 835–847

Abstract

Based on Legendre wavelets, a new efficient numerical integration method is proposed to estimate double integrals. This new method is expressed in terms of the operational integration matrices. Those which were introduced by Parsian, are calculated in an approximate way. In this work, we also propose the exact computation of these matrices. Better precision of the new method is observed during a comparative numerical study with the composite Simpson method.

Keywords

Legendre wavelet Operational matrix of integration Numerical integration Simpson composite method

Subject Classifications

(2010) 65D3046B1542C10

References

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