Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws (Q5951847)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws |
scientific article; zbMATH DE number 1687082
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws |
scientific article; zbMATH DE number 1687082 |
Statements
Construction of second-order TVD schemes for nonhomogeneous hyperbolic conservation laws (English)
0 references
19 August 2002
0 references
nonlinear hyperbolic conservation law
0 references
source term
0 references
finite difference scheme
0 references
0 references
0 references
0 references
0 references
0 references
This paper is concerned with the formulation of conservative finite difference schemes with the total variation diminishing (TVD) property to solve systems of nonlinear hyperbolic conservation laws with source terms. NEWLINENEWLINENEWLINEA technique based on the transformation of the nonhomogeneous problem into a homogeneous form through the definition of a new flux formed by the physical flux and the primitive of the source term is proposed. NEWLINENEWLINENEWLINEThe application of the numerical methods described for homogeneous conservation laws needs a new formalization of the classical schemes.
0 references
