The approximate solution of nonlinear mixed Volterra‐ Fredholm‐Hammerstein integral equations with RH wavelet bases in a complex plane

摘要

>This work is based on using wavelet for calculating one‐dimensional nonlinear Volterra‐Hammerstein and mixed Volterra‐Fredholm‐Hammerstein integral equation of the second kind in a complex plane. So far, as we know, no study has yet been attempted for solving this integral equation in the complex plane. The main specificity of this method is to avoid solving any linear or algebra system for approximated of integral equations. In Section 2, we introduce the integral operator for RH wavelet and use it in our numerical methods. In Section 3, we show that our problems have a unique solution. Furthermore, we give an upper bound for the error analysis. Finally, we make some example in Section 4 and solve them.