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.