A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods
نویسندگان
چکیده
Solutions of a boundary value problem for the Korteweg–de Vries equation are approximated numerically using a finite-difference method, and a collocation method based on Chebyshev polynomials. The performance of the two methods is compared using exact solutions that are exponentially small at the boundaries. The Chebyshev method is found to be more efficient. © 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Mathematics and Computers in Simulation
دوره 80 شماره
صفحات -
تاریخ انتشار 2009