Results 251 to 260 of about 7,385 (298)
Linearizing Stiff Delay Differential Equations
Applied Mathematics & Information Sciences, 2013 This paper deals to the study and approximation of stiff delay differential equations based on an analysis of a certain error functional. In seeking to minimize the error by using standard descent schemes, the procedure can never get stuck in local minima, but will always and steadily decrease the error until getting to the solution sought.
S. Amat, M L�egaz, P. Pedregal
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Explicit methods in solving stiff ordinary differential equations
International Journal of Computer Mathematics, 2004 In this article, we extended the existing explicit Taylor method and modified it to gain a new explicit Taylor-liked method in solving stiff differential equations. We also considered the stability property for this method since the stability property of the classical explicit fourth order Runge–Kutta (RK4) method is not adequate for the solution of ...
Ahmad, R. R. +2 more
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Implementing Radau IIA Methods for Stiff Delay Differential Equations
Computing (Vienna/New York), 2001 This article discusses the numerical solution of a general class of delay differential equations, including stiff problems, differential-algebraic delay equations, and neutral problems.
Nicola Guglielmi +2 more
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On an L-stable method for stiff differential equations
Information Processing Letters, 1977exaly +3 more sources
The numerical simulation for stiff systems of ordinary differential equations
Computers and Mathematics With Applications, 2007 In this paper, the variational iteration method is applied to solve systems of ordinary differential equations in both linear and nonlinear cases, focusing interest on stiff problems.
M T Darvishi, F Khani, A A Soliman
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A reliable rosenbrock integrator for stiff differential equations
Computing, 1981This note points out that the reliability of step-by-step integrators for ordinary differential equations can be increased considerably by a simple trick. We incorporated this idea into a program based on an A-stable Rosenbrock formula. This program comprises about 100 statements only and gives good numerical results.
Björn A. Gottwald, Gerhard Wanner
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Methods for stiff differential equations
ACM SIGNUM Newsletter, 1973Under supervision of professor G. Dahlquist different approaches to the numerical solution of stiff differential equations have been studied at our institute. As an introduction to the subject a survey of methods and applications up to 1970 (1) was made.
G. Bjurel, B. Lindberg
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A Method for Solving Certain Stiff Differential Equations
SIAM Journal on Applied Mathematics, 1978Certain differential equations that arise when solving chemical kinetics problems which have widely differing time constants are analyzed by a method that implicitly separates the fast reacting components from the remaining components of the system.
Clasen, Richard J. +3 more
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Solving stiff Lyapunov differential equations
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000We propose a method based on the matrix generalization of the backward differentiation formula for solving stiff Lyapunov differential equations. This method turns a Lyapunov differential equation into an algebraic Lyapunov equation so that the structure of the original equation can be exploited.
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Predicting stiff ordinary differential equations with stiffness coefficient
Australian Journal of Mechanical Engineering, 2014Stiff ordinary differential equations (ODEs) are present in engineering, mathematics, and sciences. Identifying them for effective simulation is imperative. This paper considers only linear initial value problems and brings to light the fact that stiffness ratio or coefficient of a suspected stiff dynamic system can be elusive as regards the phenomenon
B K Aliyu, C U Nwojiji, A O Kwentoh
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