The first chapter provides an introduction to integral equations, their history, and their applications. The chapter also discusses the classification of integral equations, including Fredholm, Volterra, and singular integral equations.
Wazwaz, A.-M. (2006). Partial Differential Equations and Solitary Waves Theory. Springer. Integral Equations Wazwaz Pdf
The seventh chapter deals with nonlinear integral equations, which are integral equations with nonlinear terms. The chapter discusses the solution of nonlinear integral equations using various methods, including the method of successive approximations, the method of Newton-Raphson, and the method of numerical solution. The first chapter provides an introduction to integral
The fifth chapter deals with integral equations with logarithmic kernels, which are commonly used to model problems in physics and engineering. The chapter discusses the solution of these integral equations using various methods, including the method of series solution and the method of asymptotic solution. (2006)