Open AccessPenyelesaian Numerik Advection Equation 1 Dimensi dengan EFG-DGM
Author(s) -
Kresno Wikan Sadono
Publication year - 2016
Publication title -
media komunikasi teknik sipil/media komunikasi teknik sipil
Language(s) - English
Resource type - Journals
eISSN - 2549-6778
pISSN - 0854-1809
DOI - 10.14710/mkts.v22i1.12406
Subject(s) - meshfree methods , finite element method , galerkin method , mathematics , mathematical analysis , partial differential equation , kernel (algebra) , smoothed particle hydrodynamics , petrov–galerkin method , radial basis function , advection , physics , computer science , mechanics , combinatorics , machine learning , artificial neural network , thermodynamics
Differential equation can be used to model various phenomena in science and engineering. Numerical method is the most common method used in solving DE. Numerical methods that popular today are finite difference method (FDM), finite element method (FEM) dan discontinuous Galerkin method (DGM), which the method includes mesh based. Lately, the developing methods, that are not based on a mesh, which the nodes directly spread in domain, called meshfree or meshless. Element free Galerkin method (EFG), Petrov-Galerkin meshless (MLPG), reproducing kernel particle method (RKPM) and radial basis function (RBF) fall into the category meshless or meshfree. Time integration generally use an explicit Runge Kutta 4th order, Newmark- , HHT- , Wilson- dll. This research was carried out numerical simulations DE, by combining the EFG method to solve the domain space and time integration with DGM methods. EFG using the complete order polynomial 1, and DGM used polynomial order 1. The equation used advection equation in one dimension. EFG-DGM comparison with analytical results also performed. The simulation results show the method EFG-DGM match the one-dimensional advection equations well.