Nonstandard finite difference schemes for differential equations

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 nite dierence schemes (NSFDs). Numerical examples conrming the eciency of schemes, for some dierential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with standard methods.