The Second Kind Fredholm Integrodifferential Equations High-precision Multi-grid Solution

There are lots of integro-differential equations in electromagnetic problems, which export a full rank matrix equations, the current accuracy of numerical solution of these equations is not high.This paper basis on the paper of Z.angew[46]. According to the different nuclear, the second-type Fredholm integro-differential equations will be divided into two categories: for the general form kernel of the second kind Fredholm integro-differential equations. First analysis the characteristics of the equation's coefficient matrix and then solve them, at the same time, analysis the error; for the integro-differential equations with Cauchy kernel, using Taylor series expansion. First conversion the integral differential equations into higher order variable coefficient differential equations and then solve them. Finally, verify the method with the numerical results, which show that this method is successful.