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《Journal of East China Institute of Technology》 2007-02
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A New Numerical Method for Inverse Problems of Nonlinear Parabolic Equations

HE Jie1,XU Ding-hua1,2,ZHUANG Wen1(1.Faculty of Mathematics and Informational Sciences,East China University of Technology,Fuzhou,JX 344000,China;2.Institute of Mathematics,Zhejiang Sci-Tech University,Hangzhou,ZJ 310018,China)  
An inverse problem for backward nonlinear parabolic equations is investigated.The inverse problem is solved by a new problem-solving approach,forward-backward algorithm in time domain.At first,the corresponding forward problem is discussed,and its approximate value is obtained in specific time grid.Then a suitable holomorphic mapping is constructed,and the corresponding approximate value is obtained in image space.Finally,the backward inversion of the inverse problem is realized by the uniqueness of analytic extension.And the numerical example demonstrates that the given method is effective.
【Fund】: 国家自然科学基金(10561001);; 江西省自然科学基金(0511005);; 东华理工大学校长基金(DHXK0701)
【CateGory Index】: O175.26
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