Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615159 | Journal of Mathematical Analysis and Applications | 2015 | 18 Pages |
Abstract
We present a finite element scheme capable of preserving the nonnegative and bounded solutions of the generalized Burgers–Huxley equation. Proofs of existence and uniqueness of a solution to the continuous problem together with some results concerning the boundedness and the nonnegativity of the solution are given. Under appropriate conditions on the mesh and the initial and boundary data, boundedness and nonnegativity of the finite element approximation are established. An a priori error estimate for the approximation is also derived. Numerical experiments are presented which support the derived theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
V.J. Ervin, J.E. Macías-Díaz, J. Ruiz-Ramírez,