A note on orthogonal polynomials

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.

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Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00297-6 ◽

2000 ◽

Vol 115 (1-2) ◽

pp. 193-211 ◽

Cited By ~ 25

Author(s):

E.A. Galperin ◽

E.J. Kansa ◽

A. Makroglou ◽

S.A. Nelson

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Fredholm Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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Multiquadric collocation methods in the numerical solution of Volterra integral equations with weakly singular kernels

10.2172/10156921 ◽

1993 ◽

Author(s):

A. Makroglou ◽

E.J. Kansa

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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On the numerical solution of integral equations of the second kind with weakly singular kernels

Korean Journal of Computational & Applied Mathematics ◽

10.1007/bf03014383 ◽

1999 ◽

Vol 6 (2) ◽

pp. 401-409 ◽

Cited By ~ 4

Author(s):

M. H. Fahmy ◽

M. A. Abdou ◽

M. A. Darwish

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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Hybrid collocation methods for Fredholm integral equations with weakly singular kernels

Applied Numerical Mathematics ◽

10.1016/j.apnum.2006.07.007 ◽

2007 ◽

Vol 57 (5-7) ◽

pp. 549-561 ◽

Cited By ~ 29

Author(s):

Yanzhao Cao ◽

Min Huang ◽

Liping Liu ◽

Yuesheng Xu

Keyword(s):

Integral Equations ◽

Collocation Methods ◽

Fredholm Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels

Science China Mathematics ◽

10.1007/s11425-014-4806-2 ◽

2014 ◽

Vol 57 (10) ◽

pp. 2163-2178 ◽

Cited By ~ 8

Author(s):

HaoTao Cai

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Fredholm Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Jacobi Collocation Method

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Iterated fast multiscale Galerkin methods for Fredholm integral equations of second kind with weakly singular kernels

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.12.003 ◽

2012 ◽

Vol 62 (3) ◽

pp. 201-211 ◽

Cited By ~ 8

Author(s):

Guangqing Long ◽

Gnaneshwar Nelakanti ◽

Xiaohua Zhang

Keyword(s):

Integral Equations ◽

Fredholm Integral Equations ◽

Galerkin Methods ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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The numerical solution of integral equations with weakly singular kernels

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0099518 ◽

1984 ◽

pp. 50-71 ◽

Cited By ~ 4

Author(s):

Hermann Brunner

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.12.005 ◽

2017 ◽

Vol 115 ◽

pp. 82-98 ◽

Cited By ~ 3

Author(s):

K. Maleknejad ◽

A. Ostadi

Keyword(s):

Numerical Solution ◽

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.022 ◽

2019 ◽

Vol 347 ◽

pp. 149-161 ◽

Cited By ~ 1

Author(s):

Yubin Pan ◽

Jin Huang ◽

Yanying Ma

Keyword(s):

Integral Equations ◽

Fractional Order ◽

Volterra Integral Equations ◽

Series Solutions ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Linear And Nonlinear ◽

Multidimensional Linear

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Preconditioners for Solving Stochastic Boundary Integral Equations with Weakly Singular Kernels

Computing ◽

10.1007/s006070050050 ◽

1999 ◽

Vol 63 (1) ◽

pp. 47-67 ◽

Cited By ~ 4

Author(s):

D. Rostami Varnos Fadrani ◽

K. Maleknejad

Keyword(s):

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Stochastic Boundary

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