Estimation And Application Of Numerical Solution Of The Second Kind Of Fredholm Integral Equation

With the development of computer science and technology,integral equation is applied more and more widely.Many practical problems can be converted into integral equations.As an important branch of integral equation,Fredholm inte-gral equation of the second kind,In solving some practical engineering problems,Problems such as heat conduction,rotational elasticity,light scattering,forced con-vection and diffraction,Play a very important role.Many scholars at home and abroad are committed to the research in this direction[1-14].In this paper,Fredholm integral equations of the second kind are studied and a new projection algorithm is proposed.Firstly,this paper proves that the mean pro-jection algorithm is suitable for LP(1<p<∞)space,and obtains the convergence of this algorithm.Secondly,the paper proves that the mean projection algorithm is also applicable and convergent in the L1 space.At last,a priori estimate and a posterior estimate are used to estimate the error of the algorithm,and two practical examples are used to further verify the rationality and effectiveness of the algorithm.The mean projection algorithm obtained in this paper is more advantageous than the endpoint value method.