TY - JOUR
ID - 11277
TI - Nonstandard finite difference schemes for differential equations
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Mehdizadeh Khalsaraei, Mohammad
AU - Khodadosti, Fayyaz
AD - Department of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.
Y1 - 2014
PY - 2014
VL - 01
IS - 2
SP - 47
EP - 54
KW - Finite difference
KW - Nonstandard
KW - Singular
KW - Predator-prey model
KW - Heat equation
DO -
N2 - In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with standard methods.
UR - http://scma.maragheh.ac.ir/article_11277.html
L1 - http://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf
ER -