Non standard Finite Difference Method Sample Clauses

Non standard Finite Difference Method. ‌ Non-standard finite difference schemes (NSFD) have emerged as an alternative method for solving a wide range of problems whose mathematical models involve algebraic, differential and biological models as well as chaotic systems, Xxxxxxx (2005). These techniques have many advantages over classical techniques and pro- vide an efficient numerical solution. In fact, the non-standard finite difference method is an extension of the standard finite difference method. Non-standard schemes as introduced by Xxxxxxx, (1990) are used to resolve some of the issues related to numerical instabilities. Furthermore, Xxxxxxx, (2005,2000,1999) intro- duced certain rules for obtaining the best difference equations. Xxxxxxx, (1994) mentions in details about these construction rules in his refer- ence book Non standard Finite Difference Models of Differential Equations. Non- standard method is more stable than the standard finite methods and the domain of h for stability in the non-standard is larger than those of the standard method. If the denominator functions are chosen in appropriate form the non-standard meth- ods produce better results,YOghoubi( 2015) Chapter 3 METHODOLOGY‌
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