Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of East China Institute of Technology》 2007-02
Add to Favorite Get Latest Update

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
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 1 Hits
1 ZHANG Hai-li,XU Ding-hua(School of Science,Zhejiang Sci-Tech University,Hangzhou 310018,China);A Regularization Method for Semi-linearly Backward Parabolic Problems:Uniqueness and Stability Estimates[J];Journal of Zhejiang Sci-Tech University;2009-04
Chinese Journal Full-text Database 3 Hits
1 XU Ding\|hua(Dept. of Computational Sciences, East China Institute of Technology,Fuzhou, JX 344000);Conditional Stability and Numerical Algorithm for an Inverse Problem of Fault Effect[J];Journal of East China Geological Institute;2003-02
2 Wang Mingliang Zhou Yubin (Department of Mathematics, Lanzhou University, Lanzhou730000);Exact Solutions to the Chaffee Infante Reaction Diffusion Equation[J];Journal of Lanzhou University;1996-03
3 WANG Denggang LIU Yingxi LI Shouju School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030, China Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China;SURVEY ON NONLINEAR INVERSION METHODS IN ELASTOMECHANICS[J];Advances In Mechanics;2003-02
Chinese Journal Full-text Database 10 Hits
1 JIANG Zhong-yu,SUN Jian-zhong,ZHAO Chang-yao(1.Dept.of Mech.Engn,.Anhui University of Technology and Science,Wuhu 241000,China;2.Sch.of Civ.Engn.,Lanzhou Jiaotong University,Lanzhou 730070,China);Analysis of elastic sheet's load inverse problem[J];Journal of Anhui University of Technology and Science(Natural Science);2006-01
2 YING Zheng-wei1,QIU Shu-fang1,WANG Ze-wen2(1.Department of Information and Technology,East China Institute of Technology,Nanchang 330013,China;2.Department of Computational Sciences,East China Institute of Technology,Fuzhou Jiangxi 344000,China);The Numerical Method for an Inverse Problem of Faultage Effect[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2009-02
3 SUN Wei-tao1,DONG Yuan2(1.ZHOU PEI-YUAN Center for Applied Mathematics,Tsinghua University,Beijng 100084,China;2.Department of Computer Science & Technology,Tsinghua University,Beijing 100084,China);Study on global optimization methods for wave equation inversion problems[J];Progress in Geophysics;2007-03
4 SHANG Ya dong (Dept.of Basic Courses,Xian Petroleum Institute,Xian 710065,China);Explicit and exact solutions for a class of nonlinear wave equation[J];BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES;2000-02
5 CHAI Yan (Department of Basic Science,Liaoning Technical University,Fuxin 123000,China);Explicit and Exact Solutions to nonlinear Reaction Diffusion Equations[J];Journal of Liaoning Technical University (Natural Science Edition);2002-01
6 Yilan Kang1 Juan Wang2 Xuehui Lin3 (1Department of Mechanics,Tianjin University,Tianjin,300072) (2Department of Mechanics,Hebei University of Technology,Tianjin,300130) (3School of Mechanical Engineering,Fuzhou University,Fuzhou,350108);EXPERIMENT-BASED INVERSE / IDENTIFICATION METHOD AND ITS APPLICATION TO STUDY ON MATERIAL MECHANICS PROPERTIES[J];Chinese Journal of Solid Mechanics;2010-05
7 Shaohua Li1,2 Zhongmin Shi3 Shuyao Long1 Hua Ding4(1College of Mechanical and Vehicle Engineering,Hunan University,Changsha,410082)(2Department of Mechanics,Xi'an University of Science and Technology,Xi'an,710054)(3Research Center,Ocean Oil Co.,Beijing,100027)(4Institute of Mechanics,Chinese Academy of Sciences,Beijing,100190);IDENTIFICATION OF HYDRODYNAMIC COEFFICIENTS ON OFFSHORE PLATFORM AND PRECISION ANALYSIS OF ITS RESULTS[J];Chinese Journal of Solid Mechanics;2011-04
8 CHEN Zi-gao,ZHANG Yuan-zhang(Department of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou 450011,China);Explicit Exact Solutions to a Class of Nonlinear Evolution Equation[J];Journal of Guizhou University(Natural Science Edition);2010-06
9 Beijing Aeronautical Manufacturing Technology Research Institute SKLAWPT, Harbin Institute of Technology China Shipbuilding Industry Corporation 703 Research Institute Zhang Shaojuan Tao Jun Li Dongqing, Fan Chenglei, Fang Hongyuan;INVERSION ANALYSIS DEVELOPMENT OF WELDING PROCEDURE PARAMETERS[J];Welding & Joining;2005-09
10 CHEN Zi-gao,CAI Hong-tao (North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China);Explicit Exact Solutions for a Class of Nonlinear Evolution Equation[J];Journal of North China Institute of Water Conservancy and Hydroelectric Power;2011-01
China Proceedings of conference Full-text Database 1 Hits
1 LIU Ying-xi, ZHANG Jun,ZHAO Wen-zhi, SUN Xiu-zhen ( State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China; Department of Orthopedic, the Second Affiliated Hospital of Dalian Medical University, Dalian 116027, China; ENT. Department, the Second Affiliated Hospital of Dalian Medical University, Dalian 116027, China);Applications of parameters identification in bone growth equation[A];[C];2005
Chinese Journal Full-text Database 6 Hits
1 ZENG Su-hua1,XU Ding-hua2(1.School of Mathematics and Informational Sciences,East China Institute of Technology,Jiangxi Fuzhou 344000 PRC;2.Zhejiang Science & Technology University,Institute of Mathematics,Zhejiang Hangzhou 310018 PRC);On the Simultaneous Inversion of Diffusivity Coefficient and Initial Function of a Class of Nonlinear Parabolic Equations with the Variational Adjoint Method[J];Jiangxi Science;2007-05
2 Wang Zewen, Xu Dinghua(School of Mathematics and Informational Sciences , East China Institute of Technology, Fuzhou 344000,China);Uniqueness and Numerical Methods for Point Source Pollution of Watershed[J];Journal of Ningxia University(Natural Science Edition);2006-02
3 Lou Yongnian; Sun Chuanzhuo; Zhang Tiande(Dept. of Mathematies and Physics, Shandong University of Technology, Jinan 250014);ANOTHER RESEARCH ABOUT THE THREE-LAYER DIFFERENCE SCHEME OF HEAT CONDUCTION EQUATION[J];JOURNAL OF SHANDONG UNIVERSITY OF TECHNOLOGY;1995-03
4 WANG Bing-xian1,XU Ding-hua1,2,HU Kang-xiu1(1.School of Mathematics and Informational Sciences,East China Institute of Technology,Fuzhou Jiangxi 344000,China)(2.Institute of Mathematics,Zhejiang Sci-Tech University,Hangzhou Zhejiang 310018,China);The Research on the Variational Adjoint Method for Percolation Coefficient Inversion for One-Dimensional Flowing Boussinesq Equation[J];Mathematics in Practice and Theory;2008-20
5 GE Mei-bao1,2,XU Ding-hua2(1.School of Mathematics and Informational Science,East China Institute of Technology,Fuzhou 344000,China;2.Zhejiang Sci-Tech University,Hangzhou 310018,China);Numerical Method of an Inverse Problem for Two-Dimensional Advection-Dispersion-Reaction Equations[J];Journal of Zhejiang Sci-Tech University;2007-05
6 WANG Bing-xian1,XU Ding-hua2(1.School of Mathematics and Informational Sciences,East China Institute of Technology,Fuzhou 344000,China;2.Institute of Mathematics,Zhejiang Sci-Tech University,Hangzhou 310018,China);On the Variational Adjoint Method for a Class of Inverse Problems for Two-Dimensional Nonlinear Parabolic Equations[J];Journal of Zhejiang Sci-Tech University;2007-05
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 LIU Ying\|xi 1,2 , WANG Deng\|gang 1,2 , LI Shou\|ju 1,2 , WANG Hai\|ju 1,2 ( 1. Dept. of Eng. Mechanics, Dalian Univ. of Technol, Dalian 116024, China; 2. State Key Lab. of Struct. Anal. for Ind. Equip., Dalian Univ. of Techno;New method for identifying elastic modulus of concrete gravity dam[J];JOURNAL OF DALIAN UNIVERSITY OF TECHNOLOGY;2000-02
2 Yao Zhenxing; Zhang Linbin(Institute of Geophysics,Chinses Academy of Sciences,Beijing 100101);HYBRID OPTIMIZATION METHOD FOR ACOUSTIC IMPEDANCE INVERSION[J];PROGRESS IN GEOPHYSICS;1999-02
3 Zhang Linbin Yao Zhenxing (Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100101);HYBRID OPTIMIZATION METHOD FOR INVERSION OF THE PARAMETERS[J];PROGRESS IN GEOPHYSICS;2000-01
4 WANG XING-TAI; LI XIAO-QIN; SUN REN-GUO (Changchun Geology College, Changchun 130026, China);THE INVERSION OF RESISTIVITY SOUNDING CURVE USING GENETIC ALGORITHMS[J];Chinese Journal of Geophysics;1996-02
5 MENG HONG-YING(Department of Electronic Engineering, Tsinghua University, Beijing 100084, China)LIU GUI-ZHONG(College of Electronics & Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China);MULTISCALE SEISMIC WAVEFORM INVERSIONBY WAVELET TRANSFORM[J];Chinese Journal of Geophysics;1999-02
6 SHI XUE-MING; WANG JIA-YING; ZHANG SHE-YE; HU XIANG-YUN(Geophysics Department, China Universing of Geosciences, Wuhan 430074, China);MULTISCALE GENETIC ALGORITHM AND ITS APPLICATION IN MAGNETOTELLURIC SOUNDING DATA INVERSION[J];Chinese Journal of Geophysics;2000-01
7 LIU PBNG-CHENG; JI CHEN(Institute of Geophysics,Academia Sinica,Beijing 100101)STEPHEN H.HARTZELL(U.S. Geological Survey,Denver,Colorado 80225);AN IMPROVED SIMULATED ANNEALING-DOWNHILL SIMPLEX HYBRID GLOBAL INVERSE ALGORITHM[J];Chinese Journal of Geophysics;1995-02
8 YAO YAO(China University of Geoscience,Wuhan 430070);IMPROVEMENT ON NONLINEAR GEOPHYSICAL INVERSION SIMULATED ANNEALING[J];Chinese Journal of Geophysics;1995-05
9 WANG Deng-gang , LIU Ying-xi , LI-Shou-ju (Dalian University of Technology, Dalian, 116023;State Key Lab. of Struct. Anal. of Ind. Equip., Dalian, 116023);A HYBRID APPROACH FOR NONLINEAR OPTIMIZATION[J];Engineering Mechanics;2001-03
10 WANG Deng-gang1, LIU Ying-xi2, LI Shou-ju2, LI Feng-zhi2 (1. Department of Building Engineering, Tongji University, Shanghai 200092, China; 2. State Key Lab of Struct Anal of Ind Equip, Dalian University of Technology, Dalian 116024, China);Inverse heat conduction problem for identifying thermal conductivity and thermal diffusivity simultaneously[J];Journal of University of Shanghai For Science and Technology;2001-03
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved