On direct methods for the discretization of a heat-conduction equation using spline functions
type: Item
instance of: scholarly article
title: On direct methods for the discretization of a heat-conduction equation using spline functions
zbMATH Open document ID: 0886.65103
DOI: 10.1016/S0096-3003(96)00114-2
author: E. S. Onah
published in: Applied Mathematics and Computation
publication date: 1998-03-12T00:00:00Z
review text: The author applies two numerical methods for solving the nonhomogeneous heat-conduction equation with nonhomogeneous boundary conditions -- namely the finite element homogeneous method and the Galerkin method. Both these methods of discretization transform the heat equation to systems of ordinary differential equations in time, respectively. The stiffness matrices of these two systems turn out to be the same. They are convenient for computer application as they are sparse, banded and symmetric.
reviewed by: K.Zlateva
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1053252
zbMATH Keywords: direct methods
zbMATH Keywords: heat-conduction equation
zbMATH Keywords: spline functions
zbMATH Keywords: finite element
zbMATH Keywords: Galerkin method
zbMATH Keywords: stiffness matrices
MaRDI profile type: Publication
cites work: Order Barriers for Continuous Explicit Runge-Kutta Methods
cites work: Embedded Diagonally Implicit Runge-Kutta Algorithms on Parallel Computers
cites work: Finite Element Collocation Methods for First Order Systems
cites work: Continuous Finite Elements in Space and Time for the Heat Equation
cites work: A Galerkin Method for the Forward-Backward Heat Equation
cites work: Q3900444
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full work available at URL: s0096-3003(96)00114-2
OpenAlex ID: W2007440399
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description: scientific article; zbMATH DE number 1053252