Nonstandard Finite Difference Schemes for Differential Equations

@inproceedings{Khalsaraei2015NonstandardFD,
  title={Nonstandard Finite Difference Schemes for Differential Equations},
  author={M. Mehdizadeh Khalsaraei and FAYYAZ KHODADOSTI},
  year={2015}
}
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 the 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. 

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