The behaviour of the maximum and minimum error for Fredholm-Volterra integral equations in two-dimensional space

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2020.1814497 ◽

2021 ◽

pp. 1-22

Author(s):

M. A. Abdou ◽

M. N. Elhamaky ◽

A. A. Soliman ◽

G. A. Mosa

Keyword(s):

Integral Equations ◽

Dimensional Space ◽

Volterra Integral Equations ◽

Two Dimensional ◽

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New Homotopy Perturbation Method for a Special Kind of Volterra Integral Equations in Two-Dimensional Space

Computational Mathematics and Modeling ◽

10.1007/s10598-013-9214-x ◽

2013 ◽

Vol 25 (1) ◽

pp. 135-148 ◽

Author(s):

Mostafa Eslami

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Dimensional Space ◽

Special Kind ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation

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Approximate solutions of nonlinear two‐dimensional Volterra integral equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7128 ◽

2021 ◽

Author(s):

Sumbal Ahsan ◽

Rashid Nawaz ◽

Muhammad Akbar ◽

Kottakkaran Sooppy Nisar ◽

Dumitru Baleanu

Keyword(s):

Integral Equations ◽

Approximate Solutions ◽

Volterra Integral Equations ◽

Two Dimensional

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Extrapolation method of iterated collocation solution for two-dimensional nonlinear Volterra integral equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00036-3 ◽

2000 ◽

Vol 112 (1) ◽

pp. 49-61 ◽

Author(s):

Han Guoqiang ◽

Ken Hayami ◽

Kokichi Sugihara ◽

Wang Jiong

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Extrapolation Method ◽

Two Dimensional ◽

Collocation Solution

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Comments on “Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method”

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.07.012 ◽

2009 ◽

Vol 233 (2) ◽

pp. 224-230 ◽

Author(s):

Bongsoo Jang

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Differential Transform Method ◽

Two Dimensional ◽

Transform Method ◽

Differential Transform ◽

Linear And Nonlinear

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An Efficient Operational Matrix Method for Solving a Class of Two-Dimensional Singular Volterra Integral Equations

Journal of Mathematical Sciences and Modelling ◽

10.33187/jmsm.423059 ◽

2018 ◽

Vol 1 (3) ◽

pp. 192-201

Author(s):

Somayeh Nemati

Keyword(s):

Integral Equations ◽

Matrix Method ◽

Operational Matrix ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Operational Matrix Method

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Numerical Solution of Nonlinear Second Kind Two-Dimensional Volterra Integral Equations Using Extrapolation Methods

10.1063/1.3497882 ◽

2010 ◽

Author(s):

Sohrab Bazm ◽

Pedro Lima ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Extrapolation Methods

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Study of convergence of Homotopy perturbation method for two-dimensional linear Volterra integral equations of the first kind

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2014.059379 ◽

2014 ◽

Vol 5 (1) ◽

pp. 72 ◽

Author(s):

Mostafa Eslami ◽

M. Mirzazadeh

Keyword(s):

Perturbation Method ◽

Integral Equations ◽

Homotopy Perturbation Method ◽

Volterra Integral Equations ◽

Two Dimensional ◽

Homotopy Perturbation ◽

Linear Volterra Integral Equations

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The block by block method for the numerical solution of the nonlinear two-dimensional Volterra integral equations

Journal of King Saud University - Science ◽

10.1016/j.jksus.2010.07.008 ◽

2011 ◽

Vol 23 (2) ◽

pp. 191-195 ◽

Author(s):

Farshid Mirzaee ◽

Zinat Rafei

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Two Dimensional ◽

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A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.01.013 ◽

2019 ◽

Vol 350 ◽

pp. 249-265 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Two Dimensional

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The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind

Differential Equations ◽

10.1134/s0012266106030116 ◽

2006 ◽

Vol 42 (3) ◽

pp. 412-421 ◽

Author(s):

O. M. Jokhadze

Keyword(s):

Integral Equations ◽

Three Dimensional ◽

Goursat Problem ◽

Order Equation ◽

Volterra Integral Equations ◽

Two Dimensional ◽

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