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Error analysis for solving the Korteweg‐de Vries equation by a Legendre pseudo‐spectral method
Author(s) -
Li Jian,
Ma Heping,
Sun Weiwei
Publication year - 2000
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/1098-2426(200011)16:6<513::aid-num2>3.0.co;2-#
Subject(s) - mathematics , korteweg–de vries equation , legendre polynomials , error analysis , mathematical analysis , nonlinear system , physics , quantum mechanics
A Legendre pseudo‐spectral method is proposed for the Korteweg‐de Vries equation with nonperiodic boundary conditions. Appropriate base functions are chosen to get an efficient algorithm. Error analysis is given for both semi‐discrete and fully discrete schemes. The numerical results confirm to the theoretical analysis. © (2000) John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 16: 513–534, (2000)