ADVANCEMENTS IN NUMERICAL TECHNIQUES FOR SOLVING DIFFERENTIAL AND INTEGRAL EQUATIONS

This research paper explores recent advancements in numerical techniques for solving differential and integral equations.The paper provides an overview of the importance of these equations in various scientific and engineering disciplines and highlights the challenges associated with their analytical solutions.We delve into the evolution of numerical methods, discussing traditional approaches and their limitations.The main focus is on cutting-edge techniques that have emerged in recent years, showcasing their applicability, efficiency, and potential impact on solving complex problems.Through a comprehensive review of the literature, we present a comparative analysis of these numerical techniques, discussing their strengths and weaknesses.The paper concludes by outlining potential future directions and areas for further research in the field of numerical analysis.