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广义Burgers-Huxley方程解的数值模拟 被引量：1

The numerical simulation of the solutions for the generalized Burgers-Huxley equation
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摘要 广义Burgers-Huxley方程是一个非常重要的模型,在流体力学、化学反应、生物工程、自动控制等领域有着广泛的应用.借助于有限差分、对角隐式Runge-Kutta-Nystrm(DIRKN),对广义Burgers-Huxley方程的精确解进行了数值模拟,由模拟的图形及误差可以看出本文的方法是有效的,但是若方程的非线性较强时,数值结果的误差相对较大. The generalized Burgers-Huxley equation is an important model, it has wide applications in fluid mechanics, chemical reaction, bioengineering, automatic control, etc. In this paper, the exact solutions of the generalized Burgers-Huxley equation are numerically simulated using the finite difference method and diagonal implicit Runge-Kutta-Nystrom method. From the simulation figures and errors, the method used in this paper is efficient, if the nonlinearity is strong, the error becomes bigger.
作者 刘玉华 张金良 李留涛
机构地区 河南科技大学数学与统计学院
出处 《南阳师范学院学报》 CAS 2012年第12期6-10,共5页 Journal of Nanyang Normal University
基金 河南省基础与前沿技术研究项目(092300410179 122102210427) 河南科技大学科研创新能力培育基金(2011CX011) 河南科技大学博士启动基金(09001204) 河南科技大学SRTP(2011133)资助项目
关键词 广义Burgers-Huxley方程 有限差分格式 DIRKN法 数值模拟 the generalized Burgers-Huxley equation finite difference scheme DIRKN method numerical simulation
分类号 O175.2 [理学—基础数学] O242.1 [理学—计算数学]
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参考文献12

  • 1Satsuma J,Ablowitz M,Fuchssteiner B,KruskalM. Topics in Soliton Theory and Exactly Solvable Nonlinear equations[M].Word Scientific,Singapore,1987.
  • 2Wang X Y,Zhu Z S,Lu Y K. Solitary wave solutions of the generalized Burgers-Huxley equation[J].Journal of Physics A:Mathematical and General,1990.271-274.
  • 3Hodgkin A L,Huxley A F. A quantitative description of membrane current and its application to conduction and excitation in nerve[J].The Journal of Physiology,1952.500-544.
  • 4Fitzhugh R. Mathematical models of excitation and propagation in nerve[A].Nyork:McGraw-Hill,1969.1-85.
  • 5Ismail H,Raslan K,Rabboh A. Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations[J].Applied Mathematics and Computation,2004.291-301.
  • 6Hashim I,Noorani M S M,A1-Hadidi M R S. Solving the generalized Burgers-Huxley equation using the Adomian decompo-sition method[J].Mathematical and Computer Modelling,2006.1404-1411.
  • 7Javidi M,Golbabai A. A new domain decomposition algorithm for generalized Burgers-Huxley equation based on chebyshev polynomials and preconditioning[J].Chaos,Solitons and Fractals,2009.849-857.
  • 8Bataineh A,Noorani M S M,Hashim I. Analytical Treatment of Generalized Burgers-Huxley Equation by Homotopy Analysis Method[J].Bull Malays Math Sci Soc,2009.233-243.
  • 9Batiha B,Noorani M S M,Hashim I. Application of variational iteration method to the generalized Burgers-Huxley equation[J].Chaos,Solitons and Fractals,2008.660-663.
  • 10Gao H,Zhao R X. New exact solutions to the generalized Burgers-Huxley equation[J[J].Applied Mathematics and Computation,2010.1598-1603.

同被引文献14

  • 1廖世俊.超越摄动--同伦分析方法导论[M].北京:科学出版社,2007.
  • 2Cole J D. On a quasi linear parabolic equation occuring in aerodynamics[J]. Quart Appl Math, 1951, 9(3): 225-236.
  • 3Hashim I, Noorani M S M, SaldA1-Hadidi M R. Solving the generalized Burgers-Huxley equation using the Adomian decomposition method[J]. Mathematical and Computer Modelling. 2006, 43(11- 12): 1404-1411.
  • 4Murat Sari,Giirhan Giirarslan.A sixth-order compact finite difference scheme to the numerical so- lutions of Burgers' equation[J]. Applied Mathematics and Computation. 2009, 208(2): 475-483.
  • 5Shu-Sen Xie,Sunyeong Heo,Seokchan Kim,et al.Numerical solution of one-dimensional Burgers' equation using reproducing kernel function[J]. Journal of Computational and Applied Mathematics. 2008, 214(2): 417-434.
  • 6Trgut Ozis,Ali Ozdes.A direct variational methods applied to Burgers' equation[J].Journal of Com- putational and Applied Mathematics. 1996, 71(2): 163-175.
  • 7Refik A, Bahadir, Mustafa Saglam. A mixed finite difference and boundary element approach to one-dimensional Burgers' equation[J]. Applied Mathematics and Computation, 2005, 160(3): 663- 673.
  • 8T.Ozis E N, Aksan A.Ozdes. Afinite element approach for solution of Burgers' equation[J]. Applied Mathematics and Computation, 2003, 139(2-3): 417-428.
  • 9E.N.Aksan, A.Ozdes. A numerical solution of Burgers' equation Applied[J]. Mathematics and Computation, 2004, 156(2): 395-402.
  • 10Abdulkadir Dogan. A Galerkin finite element approach to Burgers' equation[J]. Applied Mathe- matics and Computation, 2004, 157(2): 331-346.

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南阳师范学院学报
2012年 第12期

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