Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials
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@Article{JICS-10-178,
author = {Y. Ordokhani and R. Javadi},
title = {Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {10},
number = {3},
pages = {178--188},
abstract = {The purpose of this paper is to present a numerical method for finding an approximate solution
of two-dimensional (2D) nonlinear volterra integral equations. First, we introduce two-dimensional Bernstein
functions, then present their operational matrices of integration and product. Using this properties and
collcation points, reduce integral equation to a system of nonlinear algebric equations. Illustrative examples
have been discussed to demonstrate the validity and applicability of the technique.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22543.html}
}
TY - JOUR
T1 - Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials
AU - Y. Ordokhani and R. Javadi
JO - Journal of Information and Computing Science
VL - 3
SP - 178
EP - 188
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22543.html
KW - Two-dimensional integral equations, Bernstein polynomials, Operational matrix of integration,
Product operational matrix,Volterra, Nonlinear.
AB - The purpose of this paper is to present a numerical method for finding an approximate solution
of two-dimensional (2D) nonlinear volterra integral equations. First, we introduce two-dimensional Bernstein
functions, then present their operational matrices of integration and product. Using this properties and
collcation points, reduce integral equation to a system of nonlinear algebric equations. Illustrative examples
have been discussed to demonstrate the validity and applicability of the technique.
Y. Ordokhani and R. Javadi. (2024). Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials.
Journal of Information and Computing Science. 10 (3).
178-188.
doi:
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