| A fractal approximation algorithm for inverse initial-value problems of nonlinear differential equations |
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| 作者姓名： | 唐艳 |
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| 作者单位： | TANG Yan，HE Chuanjiang，ZHANG Xingyou College of Mathematics and Sciences，Chongqing University，Chongqing 400044，P.R. China Received 20 May 2003; revised 24 November 2003 |
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| 摘 要： | 1. Introduction Initial-value problems (IVP) for the differential equations are often confronted with in many fields of science, and are particularly common in engineering. These problems are characterized by a governing differential equation and its associated initial conditions. Methods for solving direct IVP have been known for many decades in the area of differential equation. A few of the more popular methods of solution have proven to provide sufficient and even efficient mechanisms …
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A fractal approximation algorithm for inverse initial-value problems of nonlinear differential equations |
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| TANG Yan,HE Chuanjiang,ZHANG Xingyou College of Mathematics and Sciences,Chongqing University,Chongqing,P.R. China Received May,revised November.A fractal approximation algorithm for inverse initial-value problems of nonlinear differential equations[J].Journal of Chongqing University,2003,2(2). |
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| Authors: | TANG Yan HE Chuanjiang ZHANG Xingyou College of Mathematics and Sciences Chongqing University Chongqing PR China Received May revised November |
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| Institution: | College of Mathematics and Sciences, Chongqing University, Chongqing 400044, P.R.China |
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| Abstract: | 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. |
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| Keywords: | differential equation initial-value problem inverse problem fractal |
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