The Improved Stability Analysis of Numerical Method for Stochastic Delay Differential Equations
نویسندگان
چکیده
In this paper, the improved split-step ? method, named composite is proposed to study mean-square stability for stochastic differential equations with a fixed time delay. Under global Lipschitz and linear growth conditions, it proved that method ??0.5 shows stability. An approach improving numerical illustrated by choices of parameters method. Some examples are presented show accordance between theoretical results.
منابع مشابه
Computational Method for Fractional-Order Stochastic Delay Differential Equations
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
متن کاملStability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type
This paper examines stability analysis of two classes of improved backward Euler methods, namely split-step $(theta, lambda)$-backward Euler (SSBE) and semi-implicit $(theta,lambda)$-Euler (SIE) methods, for nonlinear neutral stochastic delay differential equations (NSDDEs). It is proved that the SSBE method with $theta, lambdain(0,1]$ can recover the exponential mean-square stability with some...
متن کاملNumerical Analysis for Stochastic Partial Differential Delay Equations with Jumps
and Applied Analysis 3 (H3) There exists L 2 > 0 satisfying h(x, y, u) 2 H ≤ L 2 (‖x‖ 2 H + y 2 H ) , (12) for each x, y ∈ H and u ∈ Z. (H4) For ξ ∈ Db F0 0],H), there exists a constantL3 > 0 such that E ( ξ (s) − ξ (t) 2 ) ≤ L 3 |t − s| 2 , t, s ∈ [−τ, 0] . (13) We now describe our Euler-Maruyama scheme for the approximation of (1). For any n ≥ 1, let π n : H → H n = span{...
متن کاملA numerical method for solving delay-fractional differential and integro-differential equations
This article develops a direct method for solving numerically multi delay-fractional differential and integro-differential equations. A Galerkin method based on Legendre polynomials is implemented for solving linear and nonlinear of equations. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations. A conver...
متن کاملNumerical Method for Backward Stochastic Differential Equations
We propose a method for numerical approximation of Backward Stochastic Differential Equations. Our method allows the final condition of the equation to be quite general and simple to implement. It relies on an approximation of Brownian Motion by simple random walk.
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: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10183366