Modelling of the advection–diffusion equation with a meshless method without numerical diffusion

Autor:	Juan José Benito, Francisco Ureña, Luis Gavete, María Lucía Gavete
Rok vydání:	2012
Předmět:	FTCS scheme Partial differential equation Diffusion equation Computational Theory and Mathematics Applied Mathematics Mathematical analysis Numerical solution of the convection–diffusion equation Von Neumann stability analysis Numerical diffusion Convection–diffusion equation Computer Science Applications Numerical stability Mathematics
Zdroj:	International Journal of Computer Mathematics. 89:377-389
ISSN:	1029-0265 0020-7160
Popis:	A comprehensive study is presented regarding the stability of the forward explicit integration technique with generalized finite-difference spatial discretizations, free of numerical diffusion, applied to the advection–diffusion equation. The modified equivalent partial differential equation approach is used to demonstrate that the approximation is free of numerical diffusion. Two-dimensional results are obtained using the von Neumann method of stability analysis. Numerical results are presented showing the accuracy obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::862a8f28cf42e332b72f99d9362d27cf https://doi.org/10.1080/00207160.2011.587872 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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