Some stable implicit difference methods for heat equation with derivative boundary condition
نویسندگان
چکیده
منابع مشابه
Implicit finite difference approximation for time Fractional heat conduction under boundary Condition of second kind
The time fractional heat conduction in an infinite plate of finite thickness, when both faces are subjected to boundary conditions of second kind, has been studied. The time fractional heat conduction equation is used, when attempting to describe transport process with long memory, where the rate of heat conduction is inconsistent with the classical Brownian motion. The stability and convergenc...
متن کاملSecond-order, L0-stable methods for the heat equation with time-dependent boundary conditions
A family of second-order, Lo-stable methods is developed and analysed for the numerical solution of the simple heat equation with time-dependent boundary conditions. Methods of the family need only real arithmetic in their implementation. In a series of numerical experiments no oscillations, which are a feature of some results obtained using Ao-stable methods, are observed in the computed solut...
متن کاملNvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملHigh Order Stable Finite Difference Methods for the Schrödinger Equation
In this paper we extend the Summation–by–parts–simultaneous approximation term (SBP–SAT) technique to the Schrödinger equation. Stability estimates are derived and the accuracy of numerical approximations of interior order 2m, m = 1, 2, 3, are analyzed in the case of Dirichlet boundary conditions. We show that a boundary closure of the numerical approximations of order m lead to global accuracy...
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: The Computer Journal
سال: 1971
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/14.3.309