@article{(Open Science Index):https://publications.waset.org/pdf/4, title = {A New Algorithm for Determining the Leading Coefficient of in the Parabolic Equation}, author = {Shiping Zhou and Minggen Cui}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Computer and Information Engineering}, volume = {3}, number = {7}, year = {2009}, pages = {1798 - 1802}, ee = {https://publications.waset.org/pdf/4}, url = {https://publications.waset.org/vol/31}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 31, 2009}, }