Integral equations are a fundamental area of mathematics that has numerous applications in various fields, including physics, engineering, and economics. One of the most prominent researchers in this field is Abdul-Majid Wazwaz, a renowned mathematician who has made significant contributions to the development of integral equations. In this article, we will provide a comprehensive review of integral equations, focusing on the work of Wazwaz and providing a detailed analysis of his book, "Integral Equations: Theory and Applications" (Wazwaz, 2006), which is available in PDF format.
Wazwaz, A.-M. (2009). A review of the Adomian decomposition method and its applications. Journal of Mathematical Physics, 50(10), 103521. integral equations wazwaz pdf full
One of Wazwaz's significant contributions is the development of the (ADM). This method is a powerful tool for solving nonlinear integral equations. The ADM is based on the decomposition of the unknown function into a series of components, which are then solved recursively. Integral equations are a fundamental area of mathematics