University of MaraghehSahand Communications in Mathematical Analysis2322-580701220141201Nonstandard finite difference schemes for differential equations475411277ENMohammadMehdizadeh KhalsaraeiDepartment of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.FayyazKhodadostiDepartment of Mathematics, Faculty of Science, University of Maragheh,
Maragheh, Iran.0000-0003-4315-3907Journal Article20140501In 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.http://scma.maragheh.ac.ir/article_11277_67e5a322d5f3525fa2ef0d9962143089.pdf