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 di erence schemes (NSFDs). Numerical examples con rming the e ciency of schemes, for some di erential equations are provided. In order to illustratethe accuracy of the new NSFDs, the numerical results are compared with standard methods.