scholarly journals Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem II. High dimensional problems

2013 ◽  
Vol 37 (1-2) ◽  
pp. 432-442 ◽  
Author(s):  
M. Heydari ◽  
Z. Avazzadeh ◽  
H. Navabpour ◽  
G.B. Loghmani
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Mean Value ◽  
High Dimensional ◽  
Mean Value Theorem ◽  
Fredholm Integral Equations

scholarly journals A Novel Numerical Method of Two-Dimensional Fredholm Integral Equations of the Second Kind

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Yanying Ma ◽  
Jin Huang ◽  
Hu Li
Keyword(s):  
Approximate Solution ◽  
Integral Operator ◽  
Numerical Method ◽  
Integral Equations ◽  
Mean Value ◽  
Mean Value Theorem ◽  
Fredholm Integral Equations ◽  
Two Dimensional ◽  
Error Analyses ◽  
Approximate Integral

A novel numerical method is developed for solving two-dimensional linear Fredholm integral equations of the second kind by integral mean value theorem. In the proposed algorithm, each element of the generated discrete matrix is not required to calculate integrals, and the approximate integral operator is convergent according to collectively compact theory. Convergence and error analyses of the approximate solution are provided. In addition, an algorithm is given. The reliability and efficiency of the proposed method will be illustrated by comparison with some numerical results.

scholarly journals A Comparative Study on Haar Wavelet and Hosaya Polynomial for the numerical solution of Fredholm integral equations

2018 ◽  
Vol 3 (2) ◽  
pp. 447-458 ◽  
Author(s):  
S.C. Shiralashetti ◽  
H. S. Ramane ◽  
R.A. Mundewadi ◽  
R.B. Jummannaver
Keyword(s):  
Error Analysis ◽  
Comparative Study ◽  
Numerical Solution ◽  
Integral Equations ◽  
Haar Wavelet ◽  
Fredholm Integral Equations ◽  
Polynomial Method ◽  
Wavelet Method ◽  
Haar Wavelet Method ◽  
Hosoya Polynomial

AbstractIn this paper, a comparative study on Haar wavelet method (HWM) and Hosoya Polynomial method(HPM) for the numerical solution of Fredholm integral equations. Illustrative examples are tested through the error analysis for efficiency. Numerical results are shown in the tables and figures.

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