An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials

Mathematical Sciences ◽

10.1186/2251-7456-6-60 ◽

2012 ◽

Vol 6 (1) ◽

pp. 60 ◽

Author(s):

Jalil Rashidinia ◽

Esmaeil Najafi ◽

Asghar Arzhang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Chebyshev Polynomials ◽

Iterative Scheme ◽

Volterra Integral Equations

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Numerical solution of special 2D Fredholm-Volterra integral equations using barycentric Gegenbauer interpolation collocation method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1634/1/012099 ◽

2020 ◽

Vol 1634 ◽

pp. 012099

Author(s):

Hongyan Liu ◽

Jin Huang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations

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Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.09.099 ◽

2007 ◽

Vol 188 (1) ◽

pp. 123-128 ◽

Author(s):

K. Maleknejad ◽

S. Sohrabi ◽

Y. Rostami

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Chebyshev Polynomials ◽

Volterra Integral Equations

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Numerical solution of linear Volterra integral equations of the second kind with sharp gradients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2011.03.029 ◽

2011 ◽

Vol 235 (14) ◽

pp. 4283-4301 ◽

Author(s):

Samuel A. Isaacson ◽

Robert M. Kirby

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Linear Volterra Integral Equations

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Collocation method for Fredholm and Volterra integral equations

10.1108/03684921311323653 ◽

2013 ◽

Vol 42 (3) ◽

pp. 400-412 ◽

Author(s):

Jalil Rashidinia ◽

Zahra Mahmoodi

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations

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An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays

Mathematics of Computation ◽

10.1090/mcom/3023 ◽

2015 ◽

Vol 85 (298) ◽

pp. 635-666 ◽

Author(s):

Wang Zhong-qing ◽

Sheng Chang-tao

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Variable Delays

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Numerical solution of nonlinear fuzzy Volterra integral equations of the second kind for changing sign kernels

Soft Computing ◽

10.1007/s00500-018-3668-x ◽

2018 ◽

Vol 23 (21) ◽

pp. 11181-11197 ◽

Author(s):

F. Saberirad ◽

S. M. Karbassi ◽

M. Heydari

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations

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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(86)90018-1 ◽

1986 ◽

Vol 115 (2) ◽

pp. 592-605 ◽

Author(s):

V.L Bakke ◽

Z Jackiewicz

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Difference Equations ◽

Volterra Integral Equations ◽

Boundedness Of Solutions

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Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.001 ◽

2008 ◽

Vol 195 (2) ◽

pp. 500-505 ◽

Author(s):

K. Maleknejad ◽

A. Salimi Shamloo

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Volterra Integral Equations ◽

Convolution Type ◽

Operational Matrices

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On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0050 ◽

2019 ◽

Vol 11 (4) ◽

pp. 807-837 ◽

Author(s):

global sci

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral

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