THERMAL SCIENCE
International Scientific Journal
A VARIATIONAL-PERTURBATION METHOD FOR SOLVING THE TIME-DEPENDENT SINGULARLY PERTURBED REACTION-DIFFUSION PROBLEMS
ABSTRACT
In this paper, we combine the variational iteration method and perturbation theory to solve a time-dependent singularly perturbed reaction-diffusion problem. The problem is considered in the boundary layers and outer region. In the boundary layers, the problem is transformed by the variable substitution, and then the variational iteration method is employed to solve the transformed equation. In the outer region, we use the perturbation theory to obtain the approximation equation and the approximation solution. The final numerical experiments show that this method is accurate.
KEYWORDS
PAPER SUBMITTED: 2015-11-12
PAPER REVISED: 2016-01-12
PAPER ACCEPTED: 2016-02-11
PUBLISHED ONLINE: 2016-09-24
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Supplement 3, PAGES [S801 - S804]
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