Approximating the volume integral by a surface integral via the divergence theorem

Abstract

. In this paper, by utilising the famous Divergence Theorem for n - dimensional integral, we provide some error estimates in approximating the integral on a body B; a bounded closed subset of R n ( n (cid:21) 2) with smooth (or piecewise smooth) boundary @B; by an integral on the surface @B and some other simple terms. Some examples for 3 -dimensional case are also given.