Galerkin-finite difference method for fractional parabolic partial differential equations
MethodsXThe fractional form of the classical diffusion equation embodies the super-diffusive and sub-diffusive characteristics of any flow, depending on the fractional order. This study aims to approximate the solution of parabolic partial differential equations
Md. Shorif Hossan +2 more
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]
Sci Rep, 2023 Jaśkowiec J, Pamin J.
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On the Convergence of Ritz-Galerkin's Method
Publications of the Research Institute for Mathematical Sciences, 1968 where D is a bounded domain in the (#, jO -plane, P is the boundary of D, and 0), &(:>0), c(>0), / are smooth functions defined on D. In Ritz-Galerkin's method, first we choose a system of linearly independent functions {^J such that they satisfy the given homogeneous boundary condition and they are dense in a function space containing the exact ...
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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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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Entropy (Basel), 2022 Zhang T, Li X.
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Método de Galerkin livre de elementos aplicado a placas de materiais compostos laminados [PDF]
, 2007 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico. Programa de Pós-Graduação em Engenharia Mecânica.O objetivo deste trabalho é desenvolver um programa de análise de placas de materiais compostos laminados usando o ...
Teles, Tiago Franco de Góes
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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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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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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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