Results 61 to 70 of about 2,873 (148)
Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation
Boundary Value Problems, 2018 The main aim of this paper is to apply a low order nonconforming EQ1rot $\mathit{EQ}_{1}^{\mathrm{rot}}$ finite element to solve the nonlinear Schrödinger equation. Firstly, the superclose property in the broken H1 $H^{1}$-norm for a backward Euler fully-
Chao Xu +3 more
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Time Domain Finite Element Method for Maxwell’s Equations
IEEE Access, 2019 In this paper, we discuss a time domain finite element method for the approximate solution of Maxwell's equations. A weak formulation is derived for the electric and magnetic fields with appropriate initial and boundary conditions, and the problem is ...
Asad Anees, Lutz Angermann
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Controlling the dynamics of Burgers equation with a high-order nonlinearity
International Journal of Mathematics and Mathematical Sciences, 2004 We investigate analytically as well as numerically Burgers equation with a high-order nonlinearity (i.e., ut=νuxx−unux+mu+h(x)). We show existence of an absorbing ball in L2[0,1] and uniqueness of steady state solutions for all integer n≥1.
Nejib Smaoui
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IEEE AccessProportional-Integral-Derivative (PID) controllers remain a widely adopted solution in the field of control systems due to their simplicity, flexibility, and ability to control a wide range of processes. Despite their success in various applications, PID
Abdul Aziz Al Barazi, Ercan Aykut
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QUASI-OPTIMALITY IN THE BACKWARD EULER-GALERKIN METHOD FOR LINEAR PARABOLIC PROBLEMS
, 2014 We analyse the backward Euler-Galerkin method for linear parabolic problems, looking for quasi-optimality results in the sense of C a's Lemma. We cast the problem into the framework given by the inf-sup theory, and we analyse the spatial discretization, the discretization in time and the topic of varying the spatial discretization separately ...
openaire +1 more source
Journal of Computing Research and InnovationThis research investigates the comparison between the backward Euler and Adams-Moulton methods in solving the Lotka-Volterra prey predator model, specifically analyzing the interaction between wolf and moose populations. The study aims to identify which
Nadia Sajidah Mohd Sobree +4 more
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Results in Applied MathematicsThis paper aims to study a numerical method to solve a transient eddy current problem involving velocity terms in a bounded domain including conductor and insulator regions.
Ramiro Acevedo +2 more
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Numerical solution of a parabolic equation with a weakly singular positive-type memory term
Electronic Journal of Differential Equations, 1997 We find a numerical solution of an initial and boundary value problem. This problem is a parabolic integro-differential equation whose integral is the convolution product of a positive-definite weakly singular kernel with the time derivative of the ...
Marian Slodicka
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On some one-step implicit methods as dynamical systems
Journal of Numerical Analysis and Approximation Theory, 2003 The one-step implicit methods, the backward Euler being the most known, require the solution of a nonlinear equation at each step.To avoid this, these methods can be approximated by making use of a one step of a Newton method.
Călin-Ioan Gheorghiu
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Journal of Function SpacesIn the present article, an emerging subdivision-based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives,
Zainab Iqbal +4 more
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