@article{Zhang2022, 
author = {Jian Zhang and Jinjiao Hou and Jing Niu and Ruifeng Xie and Xuefei Dai},
title = {A high order approach for nonlinear Volterra-Hammerstein integral equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {1460-1469},
keywords = {reproducing kernel method, homotopy perturbation method, Volterra-Hammerstein integral equations},
url = {https://www.sciopen.com/article/10.3934/math.2022086},
doi = {10.3934/math.2022086},
abstract = {Here a scheme for solving the nonlinear integral equation of Volterra-Hammerstein type is given. We combine the related theories of homotopy perturbation method (HPM) with the simplified reproducing kernel method (SRKM). The nonlinear system can be transformed into linear equations by utilizing HPM. Based on the SRKM, we can solve these linear equations. Furthermore, we discuss convergence and error analysis of the HPM-SRKM. Finally, the feasibility of this method is verified by numerical examples.}
}