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

Mapping Intimacies ◽

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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Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels

Computational and Applied Mathematics ◽

10.1007/s40314-019-0890-9 ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

Min Li ◽

Chengming Huang ◽

Wanyuan Ming

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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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 ◽

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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Multistep Collocation Methods for Volterra Integral Equations with Weakly Singular Kernels

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.030118.070518 ◽

2019 ◽

Vol 9 (1) ◽

pp. 67-86 ◽

Author(s):

Jingjun Zhao

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

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 ◽

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 ◽

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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An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.11.006 ◽

2021 ◽

Vol 161 ◽

pp. 218-232

Author(s):

Lina Wang ◽

Hongjiong Tian ◽

Lijun Yi

Keyword(s):

Integral Equations ◽

Discontinuous Galerkin ◽

Volterra Integral Equations ◽

Weakly Singular Kernels ◽

Time Stepping ◽

Weakly Singular ◽

Singular Kernels

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Numerical Solution of Nonlinear Weakly Singular Fredholm-Volterra Integral Equations of the Second Kind by Using Sinc-Collocation Methods

International Journal of Applied Physics and Mathematics ◽

10.17706/ijapm.2016.6.3.88-94 ◽

2016 ◽

Vol 6 (3) ◽

pp. 88-94

Author(s):

Khosrow Maleknejad ◽

◽

Azadeh Ostadi ◽

Asyieh Ebrahimzadeh

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Weakly Singular

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On Volterra integral equations with weakly singular kernels in Banach spaces

Demonstratio Mathematica ◽

10.1515/dema-1993-0114 ◽

1993 ◽

Vol 26 (1) ◽

Author(s):

Janusz Januszewski

Keyword(s):

Banach Spaces ◽

Integral Equations ◽

Volterra Integral Equations ◽

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 ◽

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 ◽

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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