نتایج جستجو برای: backward differentiation formula
تعداد نتایج: 339033 فیلتر نتایج به سال:
Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 27 July 2020Accepted: 28 2021Published online: 02 November 2021Keywordsparabolic equation, subdiffusion backward differentiation formula, parallel-in-time algorithm, convergence analysis, convolution quadratureAMS Subject Headings65Y05, 65M15, 65M12Publication DataISSN (p...
We prove that the two-step backward differentiation formula (BDF) method is stable on arbitrary time grids; while variable-step three-step scheme if almost all adjacent step ratios are less than 2.553. These results relax severe mesh restrictions in literature and provide a new understanding of BDF methods. Our main tools include discrete orthogonal convolution kernels an elliptic type matrix n...
In order to achieve higher computational precision in approximating the first-order derivative and discretize more effectively the continuous-time Zhang neural network (ZNN), a Taylor-type numerical differentiation rule is proposed and investigated in this paper. This rule not only greatly remedies some intrinsic weaknesses of the backward and central numerical differentiation rules, but also o...
We propose a fourth-order unfitted characteristic finite element method to solve the advection-diffusion equation on time-varying domains. Based characteristic-Galerkin formulation, our combines cubic MARS for interface tracking, backward differentiation formula temporal integration, and an spatial discretization. Our convergence analysis includes errors of discretely representing moving bounda...
In this paper an efficient unconditionally stable numerical scheme is proposed for solving one dimensional quasi linear Burgers’ equation. The proposed scheme comprises of semi discretization via method of lines for the space variable and backward differentiation formula of order two (BDF2) for the time variable. The method of lines reduces the quasi linear partial differential equation in to n...
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