Publication Date:
2015-12-31
Description:
Departing from a finite-difference scheme to approximate the solutions of the Burgers-Huxley equation, the present manuscript extends that technique to higher dimensions. We show that our methodology possesses the same numerical properties of the one-dimensional version (exactness, positivity, boundedness, monotonicity, etc.). Moreover, helped by a recent theorem on the existence and uniqueness of positive and bounded solutions of the Burgers-Huxley equation, we establish that the present method is a convergent scheme.MSC: 65Q10, 65M06, 65Q30, 35K55.
Print ISSN:
1687-1839
Electronic ISSN:
1687-1847
Topics:
Mathematics
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