Open AccessANALISIS KONVERGENSI METODE BEDA HINGGA DALAM MENGHAMPIRI PERSAMAAN DIFUSI
Author(s) -
F. Muhammad Zain,
Muhammad Garda Khadafi,
P. H. Gunawan
Publication year - 2018
Publication title -
e-jurnal matematika
Language(s) - English
Resource type - Journals
ISSN - 2303-1751
DOI - 10.24843/mtk.2018.v07.i01.p176
Subject(s) - mathematics , partial differential equation , mathematical analysis , diffusion equation , parabolic partial differential equation , heat equation , convergence (economics) , ftcs scheme , finite difference method , diffusion , differential equation , ordinary differential equation , physics , thermodynamics , differential algebraic equation , economy , economic growth , economics , service (business)
The diffusion equation or known as heat equation is a parabolic and linear type of partial differential equation. One of the numerical method to approximate the solution of diffusion equations is Finite Difference Method (FDM). In this study, the analysis of numerical convergence of FDM to the solution of diffusion equation is discussed. The analytical solution of diffusion equation is given by the separation of variables approach. Here, the result show the convergence of rate the numerical method is approximately approach 2. This result is in a good agreement with the spatial error from Taylor expansion of spatial second derivative.