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A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods

โœ Scribed by Jan Ole Skogestad; Henrik Kalisch

Book ID
108200455
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
716 KB
Volume
80
Category
Article
ISSN
0378-4754

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Chebyshev approximations for a boundary
Chebyshev approximations for a boundary value problem of differential difference equations
โœ Mitusunou Kurihara; Tomohiro Suzuki ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 333 KB

A boudary value problem is studied for a system of nonlinear differential difference equations of retarded types. We investigate an existence theorem of solutions, a method of approximation and an error estimation and can prove two main theorems. The first theorem says that one can assure the existe