scholarly journals Spectral Jacobi-Galerkin methods and iterated methods for Fredholm integral equations of the second kind with weakly singular kernel

2019 ◽  
Vol 12 (3) ◽  
pp. 685-702
Author(s):  
Yin Yang ◽  
◽  
Yunqing Huang ◽  
Keyword(s):  
Integral Equations ◽  
Singular Kernel ◽  
Fredholm Integral Equations ◽  
Galerkin Methods ◽  
Weakly Singular Kernel ◽  
Weakly Singular

scholarly journals On integral equations with Weakly Singular kernel by using Taylor series and Legendre polynomials

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Esmail Babolian ◽  
Danial Hamedzadeh ◽  
Hossein Jafari ◽  
Asghar Arzhang Hajikandi ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Taylor Series ◽  
Unknown Function ◽  
Legendre Polynomials ◽  
Second Order ◽  
Singular Kernel ◽  
Fredholm Integral Equations ◽  
Weakly Singular Kernel ◽  
Weakly Singular

AbstractThis paper is concerned with the numerical solution for a class of weakly singular Fredholm integral equations of the second kind. The Taylor series of the unknown function, is used to remove the singularity and the truncated Taylor series to second order of k(x, y) about the point (x

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