NUMERICAL APPROACH TO BURGERS' EQUATION IN DUSTY PLASMAS WITH DUST CHARGE VARIATION

被引：0
|
作者：
Deka, Harekrishna [1 ]
Sarma, Jnanjyoti [2 ]
机构：
[1] KK Handiqui State Open Univ, Khanapara 781022, Guwahati, India
[2] RG Baruah Coll, Fatasil Ambari 781025, Guwahati, India
来源：
EAST EUROPEAN JOURNAL OF PHYSICS | 2024年 / 02期
关键词：
Warm Dusty plasmas; Burgers' equation; Crank-Nicolson method; von Neumann stability analysis; FINITE-ELEMENT APPROACH; DYNAMICS;
D O I：
10.26565/2312-4334-2024-2-05
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the Crank-Nicholson method is applied to solve the one-dimensional nonlinear Burgers' equation in warm, dusty plasmas with dust charge variation. After obtaining numerical results, a thorough analysis is conducted and compared against analytical solutions. On the basis of the comparison, it is evident that the numerical results obtained from the analysis are in good agreement with the analytical solution. The error between the analytical and numerical solutions of the Burgers' equation is calculated by two error norms, namely L-2 and L-infinity. A Von-Neumann stability analysis is performed on the present method, and it is found to be unconditionally stable according to the Von-Neumann analysis.
引用
收藏
页码：64 / 73
页数：10
相关论文
共 50 条
  • [1] NUMERICAL SIMULATION AND ANALYSIS OF THE MODIFIED BURGERS' EQUATION IN DUSTY PLASMAS
    Deka, Harekrishna
    Sarma, Jnanjyoti
    EAST EUROPEAN JOURNAL OF PHYSICS, 2023, (04): : 66 - 76
  • [2] Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation
    J.-K. Xue
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2003, 26 : 211 - 214
  • [3] Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation
    J.-K. Xue
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2004, 29 : 283 - 283
  • [4] Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation
    Xue, JK
    EUROPEAN PHYSICAL JOURNAL D, 2003, 26 (02): : 211 - 214
  • [5] Dust acoustic wave in a dusty plasmas with streaming ions and nonadiabatic dust charge variation
    Wang, Yunliang
    Zhou, Zhongxiang
    Jiang, Xiangqian
    Ni, Xiaodong
    Zhang, Yu
    Shen, Jiang
    Qian, Ping
    PHYSICS LETTERS A, 2009, 373 (33) : 2944 - 2947
  • [6] Reply to the comment on - Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation
    Xue, JK
    EUROPEAN PHYSICAL JOURNAL D, 2004, 29 (02): : 283 - 283
  • [7] Effects of dust charge variation on electrostatic waves in dusty plasmas with temperature anisotropy
    de Juli, M. C.
    Schneider, R. S.
    Ziebell, L. F.
    Gaelzer, R.
    BRAZILIAN JOURNAL OF PHYSICS, 2009, 39 (01) : 112 - 133
  • [8] Modulational instability of dust acoustic waves in dusty plasmas with ultraviolet irradiation and nonadiabatic dust charge variation
    Wang, Yunliang
    Zhou, Zhongxiang
    Jiang, Xiangqian
    Ni, Xiaodong
    Shen, Jiang
    Qian, Ping
    PHYSICS OF PLASMAS, 2009, 16 (03)
  • [9] The nonadiabatic dust charge variation on dust acoustic solitary and shock waves in strongly coupled dusty plasmas
    Wang, Yunliang
    Guo, Xiaoyan
    Lu, Yanzhen
    Wang, Xiaodan
    PHYSICS LETTERS A, 2016, 380 (1-2) : 215 - 221
  • [10] Kadomtsev-Petviashvili (KP) Burgers equation in a dusty plasmas with non-adiabatic dust charge fluctuation by J.-K. Xue
    Yi-Tian Gao
    Bo Tian
    The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2004, 29 : 279 - 281
12345