On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets

2010 ◽  
Vol 17 (5) ◽  
pp. 689-698 ◽  
Author(s):  
Hojatollah Adibi ◽  
Pouria Assari
Keyword(s):  
Numerical Solution ◽  
Integral Equations ◽  
Fredholm Integral Equations ◽  
Legendre Wavelets ◽  
Weakly Singular

scholarly journals A note on orthogonal polynomials

1970 ◽  
Vol 17 (1) ◽  
pp. 83-94 ◽  
Author(s):  
D. Kershaw
Keyword(s):  
Orthogonal Polynomials ◽  
Numerical Solution ◽  
Integral Equations ◽  
Fredholm Integral Equations ◽  
Intermediate Result ◽  
Weakly Singular Kernels ◽  
Quadrature Formulae ◽  
Weakly Singular ◽  
Gauss Type ◽  
Singular Kernels

During an investigation into the existence of Gauss-type quadrature formulae for the numerical solution of Fredholm integral equations with weakly singular kernels an intermediate result was found which is of independent interest.

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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