Matrix Reduction Techniques for Ordinary Differential Equations in Chemical Systems
نویسنده
چکیده
3 Proposed Techniques – An Overview 4 3.1 Matrix Reductions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.1 Global Threshold Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.2 Local Threshold Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.3 Michaelis-Menten Reduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.2 Linear Solvers Considered . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2.1 Direct Solver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.2.2 Iterative Solver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
منابع مشابه
Numerical inversion of Laplace transform via wavelet in ordinary differential equations
This paper presents a rational Haar wavelet operational method for solving the inverse Laplace transform problem and improves inherent errors from irrational Haar wavelet. The approach is thus straightforward, rather simple and suitable for computer programming. We define that $P$ is the operational matrix for integration of the orthogonal Haar wavelet. Simultaneously, simplify the formulaes of...
متن کاملReduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملDifferential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrat...
متن کاملDynamic Analysis of the Biomechanical Model of Head Load Impact Using Differential Transform Method
The dynamic analysis of the biomechanical model of the head load impact using the Differential Transform Method is presented in this paper. In many parts of the world, the problem of traumatic brain injuries (TBI) has led to neurodegenerative dementing disorders and diseases as a result of head load impact from sporting activities, accidents involving the head, etc. have serious effects on huma...
متن کاملJacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations
This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations which appear in various fields of science such as physics and engineering. The Operational matr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013