Smoothing transformation for numerical solution of nonlinear weakly singular Volterra integral equations using quasilinearization and product integration methods

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.03.014 ◽

2020 ◽

Vol 153 ◽

pp. 540-557

Author(s):

Esmaeil Najafi

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Integration Methods ◽

Product Integration ◽

Weakly Singular ◽

Smoothing Transformation

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Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: An hp-version collocation approach

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.030 ◽

2021 ◽

Vol 161 ◽

pp. 111-136

Author(s):

Raziyeh Dehbozorgi ◽

Khadijeh Nedaiasl

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular ◽

Collocation Approach

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Fast numerical solution of weakly singular Volterra integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(88)90332-9 ◽

1988 ◽

Vol 23 (1) ◽

pp. 87-98 ◽

Author(s):

E. Hairer ◽

Ch. Lubich ◽

M. Schlichte

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular

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analysis of Product Integration Methods for a Class of Singular Volterra Integral Equations

TEMA (São Carlos) ◽

10.5540/tema.2000.01.02.0373 ◽

2000 ◽

Vol 1 (2) ◽

Author(s):

T. Diogo ◽

P. Lima ◽

N.B. Franco

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Integration Methods ◽

Product Integration

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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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Product integration methods based on discrete spline quasi-interpolants and application to weakly singular integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.11.031 ◽

2010 ◽

Vol 233 (11) ◽

pp. 2855-2866 ◽

Author(s):

C. Allouch ◽

P. Sablonnière ◽

D. Sbibih ◽

M. Tahrichi

Keyword(s):

Integral Equations ◽

Singular Integral ◽

Singular Integral Equations ◽

Integration Methods ◽

Product Integration ◽

Weakly Singular ◽

Weakly Singular Integral Equations

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Nyström-quasilinearization method and smoothing transformation for the numerical solution of nonlinear weakly singular Fredholm integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112538 ◽

2020 ◽

Vol 368 ◽

pp. 112538 ◽

Author(s):

Esmaeil Najafi

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Quasilinearization Method ◽

Weakly Singular ◽

Smoothing Transformation

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A Modified Approach to the Numerical Solution of Linear Weakly Singular Volterra Integral Equations of the Second Kind

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075741 ◽

1993 ◽

Vol 5 (2) ◽

pp. 149-166 ◽

Author(s):

J. Abdalkhani

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Weakly Singular

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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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Numerical solution of Volterra integral equations with weakly singular kernel based on the DE-sinc method

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167518 ◽

2008 ◽

Vol 25 (2) ◽

pp. 165-183 ◽

Author(s):

Masatake Mori ◽

Ahniyaz Nurmuhammad ◽

Takefumi Murai

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Sinc Method ◽

Weakly Singular

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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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