scholarly journals Fifth order of non-polynomial spline functions to find a second type integral numerical solution linear Volterra with weakly singular kernel

2021 ◽  
Vol 1892 (1) ◽  
pp. 012022
Author(s):  
Ahmed Sh. Hamad
Keyword(s):  
Numerical Solution ◽  
Polynomial Spline ◽  
Singular Kernel ◽  
Spline Functions ◽  
Weakly Singular Kernel ◽  
Weakly Singular ◽  
Type Integral ◽  
Fifth Order

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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