An Expansion Methods for Multivariate Fredholm Integral Equations

摘要

In this paper, we continue to study the new Taylor series method which was developed in [3]. It is applied to a class of multivariate Fredholm integral equations. The current Taylor method finds an approximation of the solution pointwise and therefore lends itself to numerical computations which can be done in parallel. The method also computes the derivatives of the solution concurrently. Numerical examples demonstrate that the method is easy to implement and delivers an accurate approximation.