الحل العددي للمعادلات التكاملية

An integral equation is an equation in which an unknown function appears under one or more integral signs naturally. They arise as representation formulas for the solutions of differential equations. Indeed a differential equation can be replaced by an integral equation that incorporates its boundary conditions. As such, each solution of the integral equation automatically satisfies these boundary conditions. Integral equations also form one of the most useful tools in many branches of pure analysis, such as functional analysis, stochastic processes [1], and numerous applications in elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game theory, control, queuing theory, electrical engineering, economics and medicine [2].