Numerical solution of nonlinear fredholm and volterra integrals by Newton–Kantorovich and Haar wavelets methods

• Main Authors: Mohammad Hasan, Abdul Sathar, Ahmad Fadly Nurullah, Rasedee, Ahmedov, Anvarjon A., Norfifah, Bachok
• Format: Article
• Language: English
• Published: MDPI AG 2020
• Subjects: QA Mathematics
• Online Access: http://umpir.ump.edu.my/id/eprint/31150/1/Numerical%20solution%20of%20nonlinear%20fredholm%20and%20volterra%20integrals.pdf; http://umpir.ump.edu.my/id/eprint/31150/; https://doi.org/10.3390/sym12122034; https://doi.org/10.3390/sym12122034

The current study proposes a numerical method which solves nonlinear Fredholm and Volterra integral of the second kind using a combination of a Newton–Kantorovich and Haar wavelet. Error analysis for the Holder classes was established to ensure convergence of the Haar wavelets. Numerical examples wi...