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A Nonpolynomial Spline Scheme for the Generalized Regularized Long Wave Equation
Author(s) -
Lin Bin
Publication year - 2014
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/sapm.12022
Subject(s) - mathematics , spline (mechanical) , m spline , parametric statistics , stability (learning theory) , von neumann stability analysis , b spline , truncation (statistics) , truncation error , wave equation , mathematical analysis , thin plate spline , numerical stability , numerical analysis , spline interpolation , computer science , statistics , structural engineering , machine learning , engineering , bilinear interpolation
In this work, we present a numerical method based on parametric adaptive cubic spline functions for solving generalized long wave equation. The truncation error is investigated. Stability analysis of the method based on the von Neumann technique is studied and the method is shown to be unconditionally stable. Three invariants of motion are calculated to determine the conservation properties of the problem. The efficiency of the methods is demonstrated by test problems. The numerical simulations can validate and demonstrate the advantages of the method.