An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays
نویسندگان
چکیده
منابع مشابه
Chebyshev pseudospectral collocation for parabolic problems with non- constant coefficients
This paper analyses a Chebyshev pseudospectral collocation semidiscrete (continuous in time) discretization of a variable coefficient parabolic problem. Optimal stability and convergence estimates are given. The analysis is based on an approximation property concerning the GaussLobatto-Chebyshev interpolation operator.
متن کاملA numerical scheme for solving nonlinear backward parabolic problems
In this paper a nonlinear backward parabolic problem in one dimensional space is considered. Using a suitable iterative algorithm, the problem is converted to a linear backward parabolic problem. For the corresponding problem, the backward finite differences method with suitable grid size is applied. It is shown that if the coefficients satisfy some special conditions, th...
متن کاملAn Algorithm for Two Dimensional Cutting Stock Problems with Demand
In this paper, two-dimensional cutting stock problem with demand has been studied.In this problem, cutting of large rectangular sheets into specific small pieces should be carried out hence, the waste will be minimized. Solving this problem is important to decrease waste materials in any industry that requires cutting of sheets. In most previus studies, the demand of pieces has not been usually...
متن کاملAn Algorithm for Two Dimensional Cutting Stock Problems with Demand
In this paper, two-dimensional cutting stock problem with demand has been studied.In this problem, cutting of large rectangular sheets into specific small pieces should be carried out hence, the waste will be minimized. Solving this problem is important to decrease waste materials in any industry that requires cutting of sheets. In most previus studies, the demand of pieces has not been usually...
متن کاملa numerical scheme for solving nonlinear backward parabolic problems
in this paper a nonlinear backward parabolic problem in one dimensional space is considered. using a suitable iterative algorithm, the problem is converted to a linear backward parabolic problem. for the corresponding problem, the backward finite differences method with suitable grid size is applied. it is shown that if the coefficients satisfy some special conditions, th...
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: Boundary Value Problems
سال: 2015
ISSN: 1687-2770
DOI: 10.1186/s13661-015-0364-y