An efficient method for the numerical solution of Hammerstein mixed VF integral equations on 2D irregular domains

2019 ◽  
Vol 344-345 ◽  
pp. 46-56 ◽  
Author(s):  
H. Laeli Dastjerdi ◽  
M. Nili Ahmadabadi
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Efficient Method ◽  
Irregular Domains

scholarly journals An efficient method for the numerical solution of the nonlinear Hammerstein fractional integral equations

Filomat ◽  
2021 ◽  
Vol 35 (2) ◽  
pp. 419-429
Author(s):  
Ahmadabadi Nili ◽  
M.R. Velayati
Keyword(s):  
Error Analysis ◽  
Numerical Solution ◽  
Integral Equations ◽  
Efficient Method ◽  
Fractional Integral ◽  
Singular Integrals ◽  
Computational Cost ◽  
Picard Iteration ◽  
Numerical Examples ◽  
Weakly Singular

In this paper, we present a numerical method for solving nonlinear Hammerstein fractional integral equations. The method approximates the solution by Picard iteration together with a numerical integration designed for weakly singular integrals. Error analysis of the proposed method is also investigated. Numerical examples approve its efficiency in terms of accuracy and computational cost.

scholarly journals Numerical solution of the integral equations of the electromagnetic field in geosteering problems

2021 ◽  
Vol 1715 ◽  
pp. 012028
Author(s):  
A.V. Bondarenko ◽  
N. N. Velker ◽  
D.Yu. Kushnir ◽  
G.V. Dyatlov ◽  
Yu.A. Dashevsky
Keyword(s):  
Electromagnetic Field ◽  
Numerical Solution ◽  
Integral Equations
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