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Application of the heat-balance and refined integral methods to the korteweg-de vries equation
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Application of the heat-balance and refined integral methods to the korteweg-de vries equation
Myers, Tim G.; Mitchell, Sarah L.
Date:
2009
Publication:
Thermal Science;13, (2) pp. 113-119
Publication type:
Article
Abstract:
In this paper we consider approximate travelling wave solutions to the
Korteweg-de Vries equation. The heat-balance integral method is first applied to
the problem, using two different quartic approximating functions, and then the re -
fined integral method is investigated. We examine two types of solution, chosen by
matching the wave speed to that of the exact solution and by imposing the same
area. The first set of solutions is generally better with an error that is fixed in time.
The second set of solutions has an error that grows with time. This is shown to be
due to slight discrepancies in the wave speed.
Description:
peer-reviewed
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