Variational Iteration Method in Solving Evolution Equations

被引:0
|
作者
Mohamed-Jawad, Anwar Ja'afar [1 ]
机构
[1] Univ Technol Baghdad, Dept Elect Engn, Baghdad, Iraq
关键词
Variational Iteration Method; Gas Dynamics equation; Partial Differential Equation; Burger's Equation; Heat transfer Equation; HOMOTOPY PERTURBATION METHOD; APPROXIMATE SOLUTION; DECOMPOSITION METHOD;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper applies the Variational Iteration Method (VIM) to obtain solution of Evolution Equations (linear and nonlinear partial differential equations). The nonlinear model is considered Gas Dynamics equation and Burger's equation. The linear model is the Heat transfer (diffusion) equation. Results show that variational iteration method is a powerful mathematical tool for solving linear and nonlinear partial differential equations, and therefore, can be widely applied in engineering problems.
引用
收藏
页码:510 / 516
页数:7
相关论文
共 50 条
  • [1] Variational iteration method for solving a class of strongly nonlinear evolution equations
    Mo Jia-Qi
    Zhang Wei-Jiang
    Chen Xian-Feng
    [J]. ACTA PHYSICA SINICA, 2009, 58 (11) : 7397 - 7401
  • [2] Variational iteration method for solving integral equations
    Islamic Azad University, Ayatollah Amoli Branch, Amol, Iran
    不详
    不详
    [J]. J. Appl. Sci., 2009, 4 (799-800):
  • [3] Variational iteration method for solving integral equations
    Xu, Lan
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 1071 - 1078
  • [4] A VARIATIONAL ITERATION METHOD FOR SOLVING SECULAR EQUATIONS
    KOHN, W
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1949, 17 (07): : 670 - 670
  • [5] Variational iteration method for solving biharmonic equations
    Ali, A. H. A.
    Raslan, K. R.
    [J]. PHYSICS LETTERS A, 2007, 370 (5-6) : 441 - 448
  • [6] Variational Iteration Method for Solving Telegraph Equations
    Mohyud-Din, Syed Tauseef
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2009, 4 (01): : 114 - 121
  • [7] Variational iteration method for solving uncertain differential equations
    Li, Wanping
    Zhang, Guidong
    Sheng, Yuhong
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (04) : 6453 - 6461
  • [8] Variational iteration method for solving compressible Euler equations
    Zhao Guo-Zhong
    Yu Xi-Jun
    Xu Yun
    Zhu Jiang
    [J]. CHINESE PHYSICS B, 2010, 19 (07)
  • [9] Modified variational iteration method for solving Helmholtz equations
    Noor M.A.
    Mohyud-Din S.T.
    [J]. Computational Mathematics and Modeling, 2009, 20 (1) : 40 - 50
  • [10] Variational iteration method for solving compressible Euler equations
    赵国忠
    蔚喜军
    徐云
    朱江
    [J]. Chinese Physics B, 2010, 19 (07) : 32 - 38