Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1411591 ◽

2017 ◽

Vol 95 (12) ◽

pp. 2549-2568 ◽

Author(s):

Yanying Ma ◽

Jin Huang ◽

Changqing Wang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Nyström Method ◽

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Sinc–Nyström Method for Numerical Solution of a Dominant System of Cauchy Singular Integral Equations Given on a Piecewise Smooth Contour

SIAM Journal on Numerical Analysis ◽

10.1137/0726067 ◽

1989 ◽

Vol 26 (5) ◽

pp. 1194-1211 ◽

Author(s):

Bernard Bialecki

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Piecewise Smooth ◽

Nyström Method ◽

Nystrom Method ◽

Smooth Contour ◽

Cauchy Singular Integral

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Numerical solution of two dimensional stochastic Volterra–Fredholm integral equations via operational matrix method based on hat functions

SeMA Journal ◽

10.1007/s40324-020-00213-2 ◽

2020 ◽

Vol 77 (3) ◽

pp. 227-241

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Matrix Method ◽

Operational Matrix ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Operational Matrix Method

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Franklin Wavelet Galerkin Method (FWGM) for Numerical Solution of Two-Dimensional Fredholm Integral Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-016-0777-6 ◽

2016 ◽

Vol 13 (6) ◽

pp. 4819-4828 ◽

Author(s):

Yaser Rostami ◽

Khosrow Maleknejad

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Wavelet Galerkin Method

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Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.08.017 ◽

2012 ◽

Vol 17 (3) ◽

pp. 1215-1223 ◽

Author(s):

S. Bazm ◽

E. Babolian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Quadrature Rules ◽

Fredholm Integral Equations ◽

Two Dimensional

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Asymptotic error expansion for the Nyström method for nonlinear Fredholm integral equations of the second kind

BIT Numerical Mathematics ◽

10.1007/bf01955872 ◽

1994 ◽

Vol 34 (2) ◽

pp. 254-261 ◽

Author(s):

G. Q. Han

Keyword(s):

Integral Equations ◽

Fredholm Integral Equations ◽

Nyström Method ◽

Nystrom Method ◽

Asymptotic Error ◽

Nonlinear Fredholm Integral Equations ◽

Error Expansion

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Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112875 ◽

2020 ◽

Vol 377 ◽

pp. 112875 ◽

Author(s):

Nasrin Samadyar ◽

Farshid Mirzaee

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.10.128 ◽

2015 ◽

Vol 250 ◽

pp. 805-816 ◽

Author(s):

Farshid Mirzaee ◽

Elham Hadadiyan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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A Nyström method for a class of Fredholm integral equations of the third kind on unbounded domains

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.07.002 ◽

2009 ◽

Vol 59 (12) ◽

pp. 2970-2989

Author(s):

Luisa Fermo

Keyword(s):

Integral Equations ◽

Unbounded Domains ◽

Fredholm Integral Equations ◽

Nyström Method ◽

Nystrom Method ◽

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Numerical Solution of Time Domain Integral Equations Using the Nyström Method

2005 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2005.1552207 ◽

2005 ◽

Author(s):

R.A. Wildman ◽

D.S. Weile

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Time Domain ◽

Nyström Method ◽

Nystrom Method ◽

Domain Integral ◽

Time Domain Integral Equations

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A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.04.027 ◽

2010 ◽

Vol 216 (10) ◽

pp. 3073-3088 ◽

Author(s):

Fen Liang ◽

Fu-Rong Lin

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Solution Method ◽

Polynomial Interpolation ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Piecewise Polynomial ◽

Numerical Solution Method

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