Results 1 to 10 of about 813 (83)
A Finite Element Algorithm for Nematic Liquid Crystal Flow Based on the Gauge-Uzawa Method
Journal of Computational Mathematics, 2022 In this paper, we present a finite element algorithm for the time-dependent nematic liquid crystal flow based on the Gauge-Uzawa method. This algorithm combines the Gauge and Uzawa methods within a finite element variational formulation, which is a fully
Pengzhan Huang
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Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
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, 2021 The stability of a compact finite difference scheme on general nonuniform temporal meshes for a time fractional two-dimensional biharmonic problem is proved and graded mesh error estimates are derived.
Mingrong Cui
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A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
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Alexandria Engineering Journal, 2020 In this paper, a singularly perturbed Volterra integro-differential equation, characterised by a single layer, is investigated. A numerical technique which uses a non-standard finite difference scheme is implemented to solve the differential part ...
Nana Adjoah Mbroh +2 more
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, 2021 An hp-version of C-CPG time-stepping method for second-order Volterra integro-differential equations with weakly singular kernels is studied. In contrast to the methods reducing second-order problems to first-order systems, here the CG and DG ...
Shuangshuang Li
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Advances in Applied Mathematics and Mechanics, 2020 In this paper, we solve linear parabolic integral differential equations using the weak Galerkin finite element method (WG) by adding a stabilizer. The semidiscrete and fully-discrete weak Galerkin finite element schemes are constructed.
Xiuli Wang
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Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation†
Communications in Computational Physics, 2019 In this paper, we rigorously prove the convergence of fully discrete firstand second-order exponential time differencing schemes for solving the Cahn-Hilliard equation.
Xiao Li
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Linear‐implicit strong schemes for Itô‐Galkerin approximations of stochastic PDEs
International Journal of Stochastic Analysis, Volume 14, Issue 1, Page 47-53, 2001., 2001 Linear‐implicit versions of strong Taylor numerical schemes for finite dimensional Itô stochastic differential equations (SDEs) are shown to have the same order as the original scheme. The combined truncation and global discretization error of an γ strong linear‐implicit Taylor scheme with time‐step Δ applied to the N dimensional Itô‐Galerkin SDE for a
P. E. Kloeden, S. Shott
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Analysis of higher order difference method for a pseudo-parabolic equation with delay
Miskolc Mathematical Notes, 2019 In this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative.
I. Amirali
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