Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type

Subhashree Patel; Bijaya Laxmi Panigrahi

doi:10.1007/s41478-019-00175-3

Legendre spectral projection methods for weakly singular Hammerstein integral equations of mixed type

The Journal of Analysis ◽

10.1007/s41478-019-00175-3 ◽

2019 ◽

Vol 28 (2) ◽

pp. 387-413 ◽

Cited By ~ 1

Author(s):

Subhashree Patel ◽

Bijaya Laxmi Panigrahi

Keyword(s):

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type ◽

Weakly Singular

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Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.100 ◽

2015 ◽

Vol 265 ◽

pp. 574-601 ◽

Cited By ~ 3

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Corrigendum to: ``Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type'' Applied Mathematics and Computation Volume 265, 15 August 2015, Pages 574–601

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.12.040 ◽

2016 ◽

Vol 281 ◽

pp. 394-395

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Applied Mathematics ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Erratum to: Convergence analysis of Legendre spectral projection methods for Hammerstein integral equations of mixed type

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-016-0992-0 ◽

2016 ◽

Vol 52 (1-2) ◽

pp. 567-567

Author(s):

Payel Das ◽

Mitali Madhumita Sahani ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Convergence analysis of Legendre spectral projection methods for Hammerstein integral equations of mixed type

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-014-0852-8 ◽

2014 ◽

Vol 49 (1-2) ◽

pp. 529-555 ◽

Cited By ~ 3

Author(s):

Payel Das ◽

Mitali Madhumita Sahani ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0580-0 ◽

2018 ◽

Vol 4 (6) ◽

Cited By ~ 1

Author(s):

Bijaya Laxmi Panigrahi

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Hammerstein Integral Equations ◽

Weakly Singular

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Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm–Hammerstein integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.032 ◽

2019 ◽

Vol 349 ◽

pp. 114-131 ◽

Cited By ~ 9

Author(s):

Moumita Mandal ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Weakly Singular ◽

Superconvergence Results

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Erratum to: Discrete Legendre spectral projection methods for Fredholm–Hammerstein integral equations [J. Comput. Appl. Math. 278 (2015) 293–305]

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.005 ◽

2016 ◽

Vol 292 ◽

pp. 634-636

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti ◽

Guangqing Long

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Appl Math

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Superconvergence of Legendre spectral projection methods for Fredholm–Hammerstein integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.01.027 ◽

2017 ◽

Vol 319 ◽

pp. 423-439 ◽

Cited By ~ 10

Author(s):

Moumita Mandal ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations

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Numerical solution of Hammerstein integral equations of mixed type using the Sinc-collocation method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.10.019 ◽

2015 ◽

Vol 279 ◽

pp. 31-39 ◽

Cited By ~ 11

Author(s):

E. Hashemizadeh ◽

M. Rostami

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Mixed Type ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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On a Class of Quadratic Urysohn–Hammerstein Integral Equations of Mixed Type and Initial Value Problem of Fractional Order

Mediterranean Journal of Mathematics ◽

10.1007/s00009-015-0647-7 ◽

2015 ◽

Vol 13 (5) ◽

pp. 2691-2707 ◽

Cited By ~ 2

Author(s):

Mohamed M. A. Metwali

Keyword(s):

Integral Equations ◽

Fractional Order ◽

Initial Value Problem ◽

Mixed Type ◽

Initial Value ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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