The cubic B-spline least-squares finite-element method for the numerical solutions of regularized long-wave equation

被引：2

作者：

Hepson, Ozlem Ersoy ^{[1
]}

Dag, Idris ^{[2
]}

Saka, Bulent ^{[1
]}

Ay, Buket ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Fac Sci & Letters, Dept Math & Comp Sci, Eskisehir, Turkey

[2] Eskisehir Osmangazi Univ, Dept Comp Engn, Fac Engn & Architecture, Eskisehir, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 05期

关键词：

Least-square method; RLW equation; solitary waves; cubic B-splines; numerical methods; RLW EQUATION; GALERKIN METHOD; ALGORITHM; SCHEMES;

D O I：

10.1080/00207160.2021.1940979

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new least-squares method based on cubic B-spline functions is presented to solve regularized long-wave (RLW) equation numerically. An algebraic system of equations is obtained by employing the least-squares method based on cubic B-spline approximation for spatial discretization and the Crank-Nicolson technique for time discretization for integrating the RLW equation. The two test problems are implemented to show suitability of the proposed scheme. New results have been compared with those of some previous studies available in the literature.

引用

页码：993 / 1004

页数：12

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