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A fractal approximation algorithm for inverse initial-value problems of nonlinear differential equations 被引量:1

A fractal approximation algorithm for inverse initial-value problems of nonlinear differential equations
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摘要 A fractal approximation algorithm is developed to obtain approximate solutions to an inverse initial-value problem IVP(inverse IVP) for the differential equation. Numerical computational results are presented to demonstrate the effectiveness of this algorithm for solving inverse IVP for a class of specific differential equations. A fractal approximation algorithm is developed to obtain approximate solutions to an inverse initial-value problem IVP(inverse IVP) for the differential equation. Numerical computational results are presented to demonstrate the effectiveness of this algorithm for solving inverse IVP for a class of specific differential equations.
作者 唐艳
出处 《Journal of Chongqing University》 CAS 2003年第2期86-90,共5页 重庆大学学报(英文版)
关键词 differential equation initial-value problem inverse problem FRACTAL 近似解 非线性微分方程 逆初值问题 数值分析
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  • 1张石生.不动点理论与应用[M].重庆:重庆出版社,1984.104-158.
  • 2Kirsch A. An Introduction to the Mathematical Theory of Inverse Problem[M]. New York :Springer-Verlag, 1996.
  • 3Forte B, ViscayE R. Inverse Problem Methods for Generalized Fractal Image Encoding and Analysis[M]. NATO ASI series F, VOL.159.ed.Y.Fisher, Springer verlag. Heidelberg, 1998.
  • 4Kunze H E, Vrscay E R. Solving Inverse Problem for ODEs Using the Contraction Mapping [J]. Inverse Problem, 1999,15(3):745~770.
  • 5Charles L. Karr A, Igor Yakushinb,et al.Solving inverse initial-value, boundary-value problemsvia genetic algorithm[J]. Engineering Applications of Artificial Intelligence,2000 ,13:625~633.
  • 6LU N. Fractal Imaging[M].New York: Academic, 1997.?A?A
  • 7Fisher Y. Fractal Image Compression[M].New York: Theory and Application, Springer-verlag, 1995.
  • 8徐翠薇.计算方法引论[M].北京:高等教育出版社,1999.59-67.

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