A second-order, unconditionally positive, mass-conserving integration scheme for biochemical systems
نویسندگان
چکیده
منابع مشابه
Numerical Solution to Drop Coalescence/Breakup with a Volume-Conserving, Positive-Definite, and Unconditionally Stable Scheme
This paper discusses a new volumeand volume concentration–conserving, positive-definite, unconditionally stable iterative numerical scheme for solving temporary cloud/raindrop coalescence followed by breakup and the coupling of the scheme with an existing noniterative, volumeand volume concentration– conserving collision/coalescence (coagulation) scheme. The breakup scheme alone compares nearly...
متن کاملA second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system
We propose a novel second order in time, decoupled and unconditionally stable numerical scheme for solving the Cahn-Hilliard-Darcy (CHD) system which models two-phase flow in porous medium or in a Hele-Shaw cell. The scheme is based on the ideas of second order convex-splitting for the Cahn-Hilliard equation and pressure-correction for the Darcy equation. We show that the scheme is uniquely sol...
متن کاملA Pure First Order Representation for Undamped Second Order Descriptor Systems
The aim of this paper is to analyze the undamped second order descriptor systems to show the possibility of transform an undamped second order descriptor system to a pure first order descriptor system ,on different ways, while stating some of its benefits. Meanwhile we will introduce pure first order systems and undamped second order systems and indicate that under some assumptions every undamp...
متن کاملUncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation...
متن کاملAn energy-conserving second order numerical scheme for nonlinear hyperbolic equation with an exponential nonlinear term
Abstract. We present a second order accurate numerical scheme for a nonlinear hyperbolic equation with an exponential nonlinear term. The solution to such an equation is proven to have a conservative nonlinear energy. Due to the special nature of the nonlinear term, the positivity is proven to be preserved under a periodic boundary condition for the solution. For the numerical scheme, a highly ...
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: Applied Numerical Mathematics
سال: 2007
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2005.12.001