Mathematics and computers in simulation, ( ISI ), Volume (165), Year (2019-11) , Pages (223-237)

Title : ( Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet )

Authors: Majid Erfanian , Amin Mansoori ,

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Abstract

We investigate mixed nonlinear integro-differential equations (MNIDEs) in general, utilizing the concept of rationalized Haar (RH) wavelet. The complexity of the MNIDE solution is known to everyone. For this purpose, we present a numerical method by applying the RH wavelet to approximate solutions of the MNIDE of the second kind in the complex plane. At first, we describe a continuous integral operator . Also, under mild assumptions, the Banach fixed point theorem ensures that the integral operator has a unique solution. Moreover, we give a result for error and compute the rate of convergence. Employing an algorithm, we present some illustrative examples to demonstrate the performance of this approach.

Keywords

, Nonlinear integro, differential equation Rationalized Haar wavelet Fixed point theorem Complex plane
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@article{paperid:1088937,
author = {Majid Erfanian and Mansoori, Amin},
title = {Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet},
journal = {Mathematics and computers in simulation},
year = {2019},
volume = {165},
month = {November},
issn = {0378-4754},
pages = {223--237},
numpages = {14},
keywords = {Nonlinear integro-differential equation Rationalized Haar wavelet Fixed point theorem Complex plane},
}

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%0 Journal Article
%T Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet
%A Majid Erfanian
%A Mansoori, Amin
%J Mathematics and computers in simulation
%@ 0378-4754
%D 2019

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