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Dr. Mohamed Reda Ali Mohamed :: Publications:

Title:
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:
Full paper Mohamed Reda Ali Mohamed _Mohamed R. Ali.pdf
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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