Finite Element Method for the Solution of a Time-Dependent Heat-Like Lane-Emden Equation
Universal Journal of Mathematics and Applications, 2018 In this study, finite element method (FEM) with Galerkin Formula is applied to find the numerical solution of a time-dependent heat-like Lane-Emden equation. An example is solved to assess the accuracy of the method.
Mehmet Fatih Uçar
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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Entropy (Basel), 2022 Zhang T, Li X.
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Identifying Differential Equations by Galerkin's Method [PDF]
Mathematics of Computation, 1977 A numerical technique based on Galerkin’s method is presented for computing unknown parameters or functions occurring in a differential equation whose solution is known. Under certain conditions a solution can be shown to exist to the integral equation formulation of this problem. It is also shown that the resulting nonlinear system is nonsingular.
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The use of parametric model order reduction (pMOR) by matrix interpolation enables efficient simulation of large‐scale finite element (FE) models in multi‐query applications such as optimization and uncertainty quantification. In this method, high‐fidelity systems are sampled, individually reduced by projection‐based model order reduction, and
Sebastian Resch‐Schopper +1 more
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The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. [PDF]
Eng Comput, 2022 Asadi-Mehregan F +3 more
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Analysis of a Viscoplastic Burgers Equation
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT We study a Burgers equation featuring an additional stress term that is governed by a positively 1$\hskip.001pt 1$‐homogeneous potential. This problem is motivated by the so‐called Hibler's sea ice model, which treats sea ice as a non‐Newtonian fluid, where the stress tensor includes such a term in order to account for the plastic response of ...
Marita Thomas, Xin Liu, Edriss Titi
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An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations
四川大学学报. 自然科学版In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
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Numerical Solution of the Convective and Diffusive Transport Problems in a Heterogeneous Porous Medium Using Finite Element Method [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The finite element approximation of the convective and diffusive transport equation has been considered. Different methods for stabilization of the finite element approximation have been discussed: upwind approximation of the convective term using ...
M.V. Vasilyeva +2 more
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Penyelesaian Numerik Advection Equation 1 Dimensi dengan EFG-DGM
Media Komunikasi Teknik Sipil, 2016 Differential equation can be used to model various phenomena in science and engineering. Numerical method is the most common method used in solving DE.
Kresno Wikan Sadono
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Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]
Int J Appl Comput Math, 2022 Panchore V.
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