We successively apply the rational Haar wavelet to solve the nonlinear Volterra integro-differential equations and nonlinear Fredholm integro-differential equations. Using the Banach fixed point theorem for these equations, we prove the convergence. In this method, no numerical integration is used. Numerical results are presented to show the effectiveness of this method.
Erfanian, M., & Zeidabadi, H. (2021). Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet. Journal of Mathematical Modeling, 9(2), 201-213. doi: 10.22124/jmm.2020.16051.1404
MLA
Majid Erfanian; Hamed Zeidabadi. "Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet". Journal of Mathematical Modeling, 9, 2, 2021, 201-213. doi: 10.22124/jmm.2020.16051.1404
HARVARD
Erfanian, M., Zeidabadi, H. (2021). 'Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet', Journal of Mathematical Modeling, 9(2), pp. 201-213. doi: 10.22124/jmm.2020.16051.1404
VANCOUVER
Erfanian, M., Zeidabadi, H. Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet. Journal of Mathematical Modeling, 2021; 9(2): 201-213. doi: 10.22124/jmm.2020.16051.1404
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