Solution of an inverse problem for fractals and other sets
نویسندگان
چکیده
منابع مشابه
The use of inverse quadratic radial basis functions for the solution of an inverse heat problem
In this paper, a numerical procedure for an inverse problem of simultaneously determining an unknown coefficient in a semilinear parabolic equation subject to the specification of the solution at an internal point along with the usual initial boundary conditions is considered. The method consists of expanding the required approximate solution as the elements of the inverse quadrati...
متن کاملChaotic Optimization and the Construction of Fractals: Solution of an Inverse Problem
An inverse problem in fractal set const ruc t ion is introduced in th is paper, according to the theory of iterated function systems (IFS) . This theory allows the construction of a class of fractals depending on a finite number of parameters. Finding a set of parameters which reconstructs a given fractal is the goal of the inverse problem. As the solution of the inverse problem generally invol...
متن کاملthe algorithm for solving the inverse numerical range problem
برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
15 صفحه اولa numerical solution for an inverse heat conduction problem
in this paper, we demonstrate the existence and uniqueness a semianalytical solution of an inverse heat conduction problem (ihcp) in the form: ut = uxx in the domain d = {(x, t)| 0 < x < 1, 0 < t t}, u(x, t) = f(x), u(0, t) = g(t), and ux(0, t) = p(t), for any 0 t t. some numerical experiments are given in the final section.
متن کاملthe use of inverse quadratic radial basis functions for the solution of an inverse heat problem
in this paper, a numerical procedure for an inverse problem of simultaneously determining an unknown coefficient in a semilinear parabolic equation subject to the specification of the solution at an internal point along with the usual initial boundary conditions is considered. the method consists of expanding the required approximate solution as the elements of the inverse quadrati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1986
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.83.7.1975