Reproducing Kernel Hilbert Space Method for Solving Nonlinear Integro-Differential Equations

In this work, the reproducing kernel Hilbert space method (RKHSM) was used to find a numerical solutions to nonlinear integro-differential equations (NIDEs) on the form of finite series. The results showed that the approximate solution are converges to the exact solution of the NIDEs, which confirms the effectiveness of RKHSM as a reliable and practical tool for solving this type of e. This method is of great importance in the field of numerical solutions of NIDEs, which has wide applications in many engineering and scientific fields