«Stiff differential equations»
۱۴۰۲ نتیجهOptimization of solution stiff differential equations using MHAM and RSK methods
In this paper, a nonlinear stiff differential equation is solved by using the Rosenbrock iterative method, modified homotpy analysis method and power series method. The approximate solution of this equation is calculated in the form of series which its components are computed by
Solution of Stiff Differential Equations & Dynamical Systems Using Neural Network Methods
There are many laws stating the behavior of the physical world involves quantities which are changing with respect to another quantities and the mathematical expressions of such laws are differential equations. There are numbers of problems of various fields like science, enginee
convergence, consistency and stability in fuzzy differential equations
in this paper, we consider first-order fuzzy differential equations with initial value conditions. the convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized h-differentiability, are studied
Convergence, Consistency and Stability in Fuzzy Differential Equations
In this paper, we consider First-order fuzzy differential equations with initial value conditions. The convergence, consistency and stability of difference method for approximating the solution of fuzzy differential equations involving generalized H-differentiability, are studied
Solving Stiff Differential Equations with the Method of Patches
Solving Stiff Differential Equations with the Method of Patches David Brydon,∗,† John Pearson,† and Michael Marder∗ ∗Department of Physics, Center for Nonlinear Dynamics, University of Texas at Austin, Austin, Texas 78712; and †Los Alamos National Laboratory, MS B258, Los Alamos,
Approximation by Aliasing with Application to "Certaine" Stiff Differential Equations
The usual method of finding an accurate trigonometric interpolation for a function with dominant high frequencies requires a large number of calculations. This paper shows how aliasing can be used to achieve a great reduction in the computations in cases when the high frequencies
Haar wavelet method for solving stiff differential equations
Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered. Efficiency of the recommended method is demonstrated by means of four numerical examples, mostly taken from well-known te
The Numerical Solution of Boundary Value Problems for Stiff Differential Equations
The numerical solution of boundary value problems for certain stiff ordinary differential equations is studied. The methods developed use singular perturbation theory to construct approximate numerical solutions which are valid asymptotically; hence, they have the desirable featu
A New Numerical Method for Stiff Differential Equations
−− A new class of multistep methods for stiff ordinary differential equations is presented. The method is based in the application of estimation functions for the derivatives and the state variables, allowing the transformation of the original system in a purely algebraic system
Multirate Numerical Integration for Ordinary Differential Equations
Subject headings: Multirate time stepping / Local time stepping / Ordinary differential equations / Stiff differential equations / Asymptotic stability / High-order Rosenbrock methods / Partitioned Runge-Kutta methods / Mono-tonicity / TVD / Stability / Convergence. Het onderzoek