Integral Equations and Boundary Value Problems

An integral equation is an equation in which an unknown function appears under integral signs. Many physical problems of science and technology which were solved with the help of theory of integral equations. Integral equations and boundary value problems are fundamental tools in applied mathematics. Many physical systems, such as heat conduction, vibrations of strings, electrostatics, and fluid flow, are using differential equations with specific boundary conditions. These differential equations can often be converted into integral equations, which provide a more flexible framework for both analytical and numerical solutions. Various problems of science lead to integral equations, e.g., neutron diffusion problems and radiations transfer problem etc