This study explores the application of the Daftardar-Jafari Method (DJM) for solving linear and nonlinear integro-differential equations (IDEs). Unlike traditional perturbation-based techniques, DJM does not require small parameters, making it highly effective for strongly nonlinear problems. The method constructs a rapidly converging iterative sequence, providing accurate analytical or approximate solutions with reduced computational complexity. To validate the efficiency and accuracy of DJM, several test problems are presented, demonstrating its superior convergence and computational advantages. The numerical results, obtained using MATLAB, highlight the method’s robustness and effectiveness in handling complex IDEs. The findings suggest that DJM is a powerful tool for solving a broad class of integro-differential equations, with potential applications in various scientific and engineering fields.
Keywords: Linear and nonlinear integro-differential equation, Daftardar-Jafari Method, Exact and approximate solution.
Citation: Toma, G. A. & Aouira, S. (2025). Enhancing Solution Techniques for Integro-Differential Equations via the Daftardar-Jafari Method. Int J Math Expl & Comp Edu.2(2):1-6.