%0 Journal Article
	%A Shiping Zhou and  Minggen Cui
	%D 2009
	%J International Journal of Computer and Information Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 31, 2009
	%T A New Algorithm for Determining the Leading Coefficient of in the Parabolic Equation
	%U https://publications.waset.org/pdf/4
	%V 31
	%X This paper investigates the inverse problem of determining
the unknown time-dependent leading coefficient in the parabolic
equation using the usual conditions of the direct problem and an additional
condition. An algorithm is developed for solving numerically
the inverse problem using the technique of space decomposition in a
reproducing kernel space. The leading coefficients can be solved by a
lower triangular linear system. Numerical experiments are presented
to show the efficiency of the proposed methods.
	%P 1798 - 1802