Numerical Methods in Transient Heat Conduction : 1st Report, Methods Using the Analog Computer
نویسندگان
چکیده
منابع مشابه
Two numerical methods for solving a backward heat conduction problem
We introduce a central difference method and a quasi-reversibility method for solving a backward heat conduction problem (BHCP) numerically. For these two numerical methods, we give the stability analysis. Meanwhile, we investigate the roles of regularization parameters in these two methods. Numerical results show that our algorithm is effective. 2005 Elsevier Inc. All rights reserved.
متن کاملDerivation of Numerical Methods Using Computer Algebra
The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newton’s iteration formula, the secant method, Newton–Cotes and Gaussian integration formulas, as well as Runge–Kutta formulas, are presented. For the derivations, the computer algebra system Maple is used.
متن کاملExplicit Difference Methods for Solving the Cylindrical Heat Conduction Equation
? = 0(r = 0), i^=-F(i), (r=l) dr u dr where Fit) is an empirical function of t. In all cases, as far as the authors are aware, the differential coefficients in (1) are considered separately when replaced by differences, and the principal term in du the truncation error of any difference formula obtained in this way contains — and ö u —Z-. This can be seen by obtaining the time derivatives of u ...
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: Transactions of the Japan Society of Mechanical Engineers
سال: 1968
ISSN: 0029-0270,2185-9485
DOI: 10.1299/kikai1938.34.1224