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The Galerkin Method for Solving Strongly Nonlinear Oscillators [PDF]
The Scientific World Journal, 2022 In this paper, we make use of the Galerkin method for solving nonlinear second-order ODEs that are related to some strongly nonlinear oscillators arising in physics and engineering. We derive the iterative schemes for finding the coefficients that appear
Alvaro H. S. Salas
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The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
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Galerkin-finite difference method for fractional parabolic partial differential equations [PDF]
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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Journal of Modern Power Systems and Clean Energy, 2021 In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu +5 more
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Journal of Harbin University of Science and Technology, 2022 The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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Buildings, 2023 A common strategy for studying the nonlinear vibrations of beams is to discretize the nonlinear partial differential equation into a nonlinear ordinary differential equation or equations through the Galerkin method.
Yunbo Zhang, Kun Huang, Wei Xu
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Numerical Solution of Non-Linear Prey-Predator System using Finite Elements Method [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 A non-linear prey-predator system solved numerically by Galerkin method, and we compare these results with the results of Pius Peter Nyaanga[6] who used finite difference methods, we found that Galerkin finite elements method is faster than finite ...
Saad Manaa, Ahmed Qasem
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On Galerkin difference methods [PDF]
Journal of Computational Physics, 2016 Energy-stable difference methods for hyperbolic initial-boundary value problems are constructed using a Galerkin framework. The underlying basis functions are Lagrange functions associated with continuous piecewise polynomial approximation on a computational grid.
Thomas Hagstrom, Jeffrey W. Banks
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A test of the Source Galerkin method [PDF]
Nuclear Physics B - Proceedings Supplements, 2003 Talk presented at LATTICE2002, 3 pages, 2 ...
P. Emirdag, D. Petrov, Gerald Guralnik
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On discontinuous Galerkin methods
International Journal for Numerical Methods in Engineering, 2003 AbstractDiscontinuous Galerkin methods have received considerable attention in recent years for problems in which advection and diffusion terms are present. Several alternatives for treating the diffusion and advective fluxes have been introduced. This report summarizes some of the methods that have been proposed.Several numerical examples are included
O. C. Zienkiewicz +5 more
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