%0 Journal Article
	%A Xin Luo and  Jin Huang and  Pan Cheng
	%D 2013
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 77, 2013
	%T Mechanical Quadrature Methods for Solving First Kind Boundary Integral Equations of Stationary Stokes Problem
	%U https://publications.waset.org/pdf/17077
	%V 77
	%X By means of Sidi-Israeli’s quadrature rules, mechanical quadrature methods (MQMs) for solving the first kind boundary integral equations (BIEs) of steady state Stokes problem are presented. The convergence of numerical solutions by MQMs is proved based on Anselone’s collective compact and asymptotical compact theory, and the asymptotic expansions with the odd powers of the errors are provided, which implies that the accuracy of the approximations by MQMs possesses high accuracy order O (h3). Finally, the numerical examples show the efficiency of our methods.

	%P 923 - 927