Results 11 to 20 of about 2,972 (267)
Analysis of stability for stochastic delay integro-differential equations
Journal of Inequalities and Applications, 2018 In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
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Cubic B-splines collocation method for a class of partial integro-differential equation
Alexandria Engineering Journal, 2018 In this paper, a numerical method is proposed to estimate the solution of initial-boundary value problems for a class of partial integro-differential equations.
M. Gholamian, J. Saberi-Nadjafi
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Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions
Advances in Nonlinear Analysis, 2022 In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Results in Applied Mathematics, 2021 A robust numerical scheme is proposed to solve singularly perturbed large time-delay parabolic convection–diffusion problems. For domain discretization, the backward-Euler method for the time derivative and Micken’s type discretization for the space ...
Naol Tufa Negero, Gemechis File Duressa
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Backward Euler method for stochastic differential equations with non-Lipschitz coefficients
, 2022 We study the traditional backward Euler method for $m$-dimensional stochastic differential equations driven by fractional Brownian motion with Hurst parameter $H > 1/2$ whose drift coefficient satisfies the one-sided Lipschitz condition. The backward Euler scheme is proved to be of order $1$ and this rate is optimal by showing the asymptotic error ...
Zhou, Hao, Hu, Yaozhong, Liu, Yanghui
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Numerical solution of stiff system by backward Euler method
Applied Mathematical Sciences, 2015 In this paper, a piecewise uniform mesh is constructed and used, in conjuction with Backward Euler method to form a new numerical method for solving a coupled first order stiff system of Ordinary Differential Equations(ODEs) with prescribed initial conditions.
B. Sumithra, A. Tamilselvan
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Numerical integration methods and layout improvements in the context of dynamic RNA visualization
BMC Bioinformatics, 2017 Background RNA visualization software tools have traditionally presented a static visualization of RNA molecules with limited ability for users to interact with the resulting image once it is complete. Only a few tools allowed for dynamic structures. One
Boris Shabash, Kay C. Wiese
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Backward Euler type methods for parabolic integro-differential equations in Banach space [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 1998 The authors consider the initial value problem \[ u_t +Au = \int_0^t B(t,s)u(s) ds +f(t) \quad\text{for} t\in [0,T],\;\text{with} u(0)=v, \] in a Banach space \(X\), where \(A\) is a closed linear operator with dense domain \(D(A)\), and \(B(t,s)\) is a smooth linear operator with \(D(B(t,s))\supset D(A)\) and such that \(Q(t,s)=A^{-1}B(t,s)\) and ...
Bakaev, N. Yu., Larsson, S., Thomée, V.
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Efficient Galerkin finite element methods for a time-fractional Cattaneo equation
Advances in Difference Equations, 2020 In this paper, we develop two efficient fully discrete schemes for solving the time-fractional Cattaneo equation, where the fractional derivative is in the Caputo sense with order in ( 1 , 2 ] $(1, 2]$ .
An Chen, Lijuan Nong
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An algorithm for solving the Navier–Stokes problem with mixed boundary conditions
Boundary Value Problems, 2022 We consider a time-dependent Navier–Stokes problem in dimension two and three provided with mixed boundary conditions. We propose an iterative algorithm and its implementation for resolving this considered problem.
Mohamed Abdelwahed +3 more
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