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publication name Application of Haar wavelet method for solving the nonlinear fuzzy integro-differential equations
Authors Mohamed R. Ali; Adel R. Hadhood
year 2019
keywords Haar wavelet method; Fuzzy numbers; Nonlinear Fuzzy Fredholm integro-differential equations; Product matrix; Convergence analysis; Approximate solution.
journal Journal of Computational and Theoretical Nanoscience
volume 16
issue 2
pages 18
publisher ASP
Local/International International
Paper Link https://www.ingentaconnect.com/contentone/asp/jctn/2019/00000016/00000002/art00006?crawler=true&mimetype=application/pdf
Full paper download
Supplementary materials Not Available
Abstract

Haar wavelet method (HWM) is an essential profitable method for settling the nonlinear Fuzzy Fredholm integro-differential equations (NFIDE). the proposed model converts the NFIDE into to nonlinear equations which tackle by the familiar Newton methods. The authors investigate the convergence of this method. Test problems are solved to show the accuracy of our method where the obtained numerical results are compared with Homotopy perturbation method (HPM) and the exact solutions. Graphical portrayals of the correct and obtained estimated arrangements illuminate the exactness of the methodology.

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