Application of the Generalized Differential Quadrature Method in Solving Burgers' Equations

被引：22

作者：

Mokhtari, R. ^{[1
]}

Toodar, A. Samadi ^{[2
]}

Chegini, N. G. ^{[2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Tafresh Univ, Dept Math, Tafresh 3951879611, Iran

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 06期

关键词：

generalized differential quadrature method (GDQM); total variation diminishing Runge-Kutta (TVD-RK) method; Burgers' equations; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; TRANSFORMATION; DIFFUSION; SCHEME; MODEL;

D O I：

10.1088/0253-6102/56/6/06

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is to obtain numerical solutions of the one-dimensional, two-dimensional and coupled Burgers' equations through the generalized differential quadrature method (GDQM). The polynomial-based differential quadrature (PDQ) method is employed and the obtained system of ordinary differential equations is solved via the total variation diminishing Runge-Kutta (TVD-RK) method. The numerical solutions are satisfactorily coincident with the exact solutions. The method can compete against the methods applied in the literature.

引用

页码：1009 / 1015

页数：7

共 50 条

[21] APPLICATION OF THE GENERALIZED INTEGRAL LAPLACE TRANSFORM TO SOLVING DIFFERENTIAL EQUATIONS
Zaikina, S. M.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2011, (04): : 165 - 168
[22] A New Application of Gauss Quadrature Method for Solving Systems of Nonlinear Equations
Srivastava, Hari M.
Iqbal, Javed
Arif, Muhammad
Khan, Alamgir
Gasimov, Yusif S.
Chinram, Ronnason
SYMMETRY-BASEL, 2021, 13 (03):
[23] Application to differential transformation method for solving systems of differential equations
Hassan, I. H. Abdel-Halim
APPLIED MATHEMATICAL MODELLING, 2008, 32 (12) : 2552 - 2559
[24] AN ALTERNATIVE METHOD FOR SOLVING GENERALIZED DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Chouhan, Amit
Purohit, Sunil Dutt
Saraswat, Satish
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2013, 37 (02): : 299 - 306
[25] Generalized Adams method for solving fractional delay differential equations
Zhao, Jingjun
Jiang, Xingzhou
Xu, Yang
MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 180 : 401 - 419
[26] Application of Differential Transform Method to the Generalized Burgers-Huxley Equation
Biazar, J.
Mohammadi, F.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2010, 5 (02): : 629 - 643
[27] Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography
Sizikov, Valery
Sidorov, Denis
APPLIED NUMERICAL MATHEMATICS, 2016, 106 : 69 - 78
[28] GENERALIZED DIFFERENTIAL AND INTEGRAL QUADRATURE AND THEIR APPLICATION TO SOLVE BOUNDARY-LAYER EQUATIONS
SHU, C
CHEW, YT
RICHARDS, BE
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1995, 21 (09) : 723 - 733
[29] A generalized differential quadrature element method
Chen, CN
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 188 (1-3) : 553 - 566
[30] Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations
Smietanski, Marek J.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (17) : 5131 - 5139

← 1 2 3 4 5 →