An efficient method for the numerical solution of Hammerstein mixed VF integral equations on 2D irregular domains

Abstract

In this work, we adapt the implicity linear collocation method for solving nonlinear two dimensional mixed Volterra–Fredholm integral equations of Hammerstein type by using IMQ-RBFs on a non-rectangular domain. The proposed method is mesh-free, and it is independent of the geometry of domain. Convergence analysis of the proposed method together with some benchmark examples is provided which support its reliability and numerical stability.