(1) Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China
Abstract:
To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued
Padé-type approximation is defined. By means of the power series expansion of the solution, this method can construct an approximate
solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions
of the numerator polynomial and the denominator polynomial for Padé-type approximation are explicitly given.
Project supported by the National Natural Science Foundation of China (No.10271074)