On one application of forward jumping methods

摘要

Recently, many scientists have focused on the investigation of variable boundary integral equations that describe some phenomena of natural science, such as environmental problems, ecological problems, and the spreading of grippe and other seasonal diseases. The method of quadratures that Volterra first used to solve variable boundary linear integral equations is the traditional method for solving such equations. Unlike the quadrature methods for solving variable boundary nonlinear integral equations, here we suggest a solution to these equations using forward jumping methods with constant coefficients.