QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

被引：0

作者：

Abazari, Reza ^{[1
]}

Yildirim, Kenan ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran

[2] Mus Alparslan Univ, Dept Math, Mus, Turkey

来源：

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2019年 / 37卷 / 03期

关键词：

Rosenau-Burgers equation; quintic b-spline method; Crank-Nicolson scheme; Thomas algorithm; COLLOCATION METHOD; SCHEME;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the quintic B-spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau-Burgersequation. This scheme is based on the Crank-Nicolson formulation for time integration and quintic B-spline functions for space integration. The unconditional stability of the method is proved using Von-Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

引用

页码：967 / 979

页数：13

共 50 条

[21] A Quintic B-Spline Based Differential Quadrature Method for Numerical Solution of Kuramoto-Sivashinsky Equation
Mittal, R. C.
Dahiya, Sumita
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (02) : 103 - 114
[22] Taylor collocation method for the numerical solution of the nonlinear Schrodinger equation using quintic B-spline basis
Aksoy, A. M.
Irk, D.
Dag, I.
[J]. PHYSICS OF WAVE PHENOMENA, 2012, 20 (01) : 67 - 79
[23] Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method
Dag, I.
Ersoy, O.
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648
[24] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Selcuk Kutluay
Yusuf Ucar
N. Murat Yagmurlu
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 : 1603 - 1614
[25] Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method
Kutluay, Selcuk
Ucar, Yusuf
Yagmurlu, N. Murat
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (04) : 1603 - 1614
[26] On the convergence of operator splitting for the Rosenau-Burgers equation
Zurnaci, Fatma
Seydaoglu, Muaz
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (04) : 1363 - 1382
[27] Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements
Alaattin Esen
Orkun Tasbozan
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 1325 - 1337
[28] Quintic B-spline collocation method for the numerical solution of the Bona-Smith family of Boussinesq equation type
Ren, Jianguo
Manafian, Jalil
Shallal, Muhannad A.
Jabbar, Hawraz N.
Mohammed, Sizar A.
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (01) : 135 - 148
[29] Taylor collocation method for the numerical solution of the nonlinear Schrödinger equation using quintic B-spline basis
A. M. Aksoy
D. Irk
I. Dag
[J]. Physics of Wave Phenomena, 2012, 20 : 67 - 79
[30] Numerical Solution of Time Fractional Burgers Equation by Cubic B-spline Finite Elements
Esen, Alaattin
Tasbozan, Orkun
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1325 - 1337

← 1 2 3 4 5 →