n Journal of Emerging Trends in Engineering and Applied Sciences - A new family of numerical schemes for solving the combustion equation

Volume 3, Issue 3
  • ISSN : 2141-7016
This is currently unavailable for purchase.



In this paper, a new set of family of Non-Standard finite difference schemes for the solution of combustion equation is discussed. A logical method for constructing the denominator functions for the discrete derivatives was considered and used to construct the schemes. The method of Non-Local Approximation was used to implement them. The importance of making a suitable combination of "choice of free parameters and appropriate denominator function" is explicated. The preservation of the qualitative properties of some IVPs arising from the combustion equation by these proposed schemes are discussed. Numerical experiments have been used to verify some stability properties of the new finite difference schemes proposed for the Combustion Equation.

Loading full text...

Full text loading...


Article metrics loading...


This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error