A new iterative method for solving linear Fredholm integral equations using the least squares method

2015 ◽  
Vol 250 ◽  
pp. 744-758 ◽  
Author(s):  
Saeed Karimi ◽  
Meisam Jozi
Keyword(s):  
Iterative Method ◽  
Least Squares ◽  
Integral Equations ◽  
Least Squares Method ◽  
Fredholm Integral Equations ◽  
New Iterative Method

scholarly journals Polynomial Least Squares Method for the Solution of Nonlinear Volterra-Fredholm Integral Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Bogdan Căruntu ◽  
Constantin Bota
Keyword(s):  
Least Squares ◽  
Integral Equations ◽  
Least Squares Method ◽  
Fredholm Integral Equations ◽  
Nonlinear Integral Equations ◽  
Straightforward Manner ◽  
Fredholm Type ◽  
Numerical Examples ◽  
Polynomial Solutions ◽  
Approximate Polynomial

The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra-Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the method. A comparison with previous results is also presented and it emphasizes the accuracy of the method.

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