Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet

M Erfanian, A Mansoori - Mathematics and computers in simulation, 2019 - Elsevier
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 …

A new sequential approach for solving the integro-differential equation via Haar wavelet bases

M Erfanian, M Gachpazan, H Beiglo - Computational Mathematics and …, 2017 - Springer
In this work, we present a method for numerical approximation of fixed point operator,
particularly for the mixed Volterra–Fredholm integro-differential equations. The main tool for …

Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane

M Erfanian, H Zeidabadi - Advances in Difference Equations, 2019 - Springer
So far, there are no any publications for solving and obtaining a numerical solution of
Volterra integro-differential equations in the complex plane by using the finite element …

Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases

M Erfanian, H Zeidabadi - Asian-European Journal of Mathematics, 2019 - World Scientific
Everyone knows about the complicated solution of the nonlinear Fredholm integro-
differential equation in general. Hence, often, authors attempt to obtain the approximate …

The approximate solution of nonlinear mixed Volterra‐Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane

M Erfanian - Mathematical Methods in the Applied Sciences, 2018 - Wiley Online Library
This work is based on using wavelet for calculating one‐dimensional nonlinear Volterra‐
Hammerstein and mixed Volterra‐Fredholm‐Hammerstein integral equation of the second …

The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions

P Assari - Filomat, 2019 - doiserbia.nb.rs
Hammerstein integral equations have been arisen from mathematical models in various
branches of applied sciences and engineering. This article investigates an approximate …

The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane

M Erfanian - International Journal of Applied and Computational …, 2018 - Springer
This study has been conducted to calculate the one-dimensional nonlinear Volterra–
Fredholm and mixed Volterra–Fredholm integral equation of second kind in a complex …

A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equations.

P Assari, M Dehghan - Numerical Mathematics: Theory …, 2018 - search.ebscohost.com
In the current investigation, we present a numerical technique to solve Fredholm-
Hammerstein integral equations of the second kind. The method utilizes the free shape …

[PDF][PDF] RH WAVELET BASES TO APPROXIMATE SOLUTION OF NONLINEAR FREDHOLM-HAMMERSTEIN INTEGRAL EQUATIONS IN COMPLEX PLANE

M Erfanian, A Akrami - Mathematical Modelling of Systems, 2017 - researchgate.net
In this paper, we present a method for calculated the numerical approximation of nonlinear
Fredholm-Volterra Hammerstein integral equation, which uses the properties of rationalized …

Rationalized Haar wavelet bases to approximate the solution of the first Painlev'e equations

M Erfanian, A Mansoori - Journal of Mathematical Modeling, 2019 - jmm.guilan.ac.ir
In this article, using the properties of the rationalized Haar (RH) wavelets and the matrix
operator, a method is presented for calculating the numerical approximation of the first …