Numerical solution of the nonlinear Fredholm-Volterra-Hammerstein integral equations via Bessel functions
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@Article{JICS-9-123,
author = {Y. Ordokhani and H. Dehestani},
title = {Numerical solution of the nonlinear Fredholm-Volterra-Hammerstein integral equations via Bessel functions},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {9},
number = {2},
pages = {123--131},
abstract = {In this paper, a collocation method based on the Bessel polynomials are used for the solution of
nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs). This method transforms the
nonlinear (FVHIEs) in to matrix equations with the help of Bessel polynomials of the first kind and
collocation points. The matrix equations corresponds to a system of nonlinear algebraic equations with the
unknown Bessel coefficients. Present results demonstrate proposed method in comparison with other
methods is more accurate, efficiency and reliability.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22589.html}
}
TY - JOUR
T1 - Numerical solution of the nonlinear Fredholm-Volterra-Hammerstein integral equations via Bessel functions
AU - Y. Ordokhani and H. Dehestani
JO - Journal of Information and Computing Science
VL - 2
SP - 123
EP - 131
PY - 2024
DA - 2024/01
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22589.html
KW - Bessel polynomials, Integral equations, Collocation, Fredholm, Volterra, Hammerestein.
AB - In this paper, a collocation method based on the Bessel polynomials are used for the solution of
nonlinear Fredholm-Volterra-Hammerstein integral equations (FVHIEs). This method transforms the
nonlinear (FVHIEs) in to matrix equations with the help of Bessel polynomials of the first kind and
collocation points. The matrix equations corresponds to a system of nonlinear algebraic equations with the
unknown Bessel coefficients. Present results demonstrate proposed method in comparison with other
methods is more accurate, efficiency and reliability.
Y. Ordokhani and H. Dehestani. (2024). Numerical solution of the nonlinear Fredholm-Volterra-Hammerstein integral equations via Bessel functions.
Journal of Information and Computing Science. 9 (2).
123-131.
doi:
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