OICC Press Communications in Nonlinear Analysis 2371-7920 11 1 2025 11 09 Algorithm for Equations of Hammerstein Type and Applications EN Mathew Aibinu Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa National Institute for Theoretical and Computational Sciences (NITheCS), South Africa 0000-0003-4901-1440 Surendra C. Thakur KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa. Sibusiso Moyo Institute for Systems Science & Office of the DVC Research, Innovation & Engagement, Milena Court, Durban University of Technology, Durban 4000, South Africa. Journal Article 2025 11 09 Equations of Hammerstein type cover large variety of areas and are of much interest to a wide audience due to the fact that they have applications in numerous areas. Suitable conditions are imposed to obtain a strong convergence result for nonlinear integral equations of Hammerstein type with monotone type mappings. A technique which does not involve the assumption of existence of a real constant whose calculation is unclear has been used in this study to obtain the strong convergence result. Moreover, our technique is applied to show the forced oscillations of finite amplitude of a pendulum as a specific example of nonlinear integral equations of Hammerstein type. Numerical example is given for the illustration of the convergence of the sequences of iteration. These are done to demonstrate to our readers that this approach can be applied to problems arising in physical systems.