An improvised collocation algorithm with specific end conditions for solving modified Burgers equation

2020 ◽  
Vol 37 (1) ◽  
pp. 874-896
Author(s):  
Shallu ◽  
Vijay Kumar Kukreja
Keyword(s):  
Burgers Equation ◽  
Modified Burgers Equation ◽  
End Conditions

Time-dependent non-planar DIA shock waves in non-extensive dusty plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 545-551 ◽  
Author(s):  
S. YASMIN ◽  
M. ASADUZZAMAN ◽  
A. A. MAMUN
Keyword(s):  
Shock Waves ◽  
Dusty Plasma ◽  
Burgers Equation ◽  
Spherical Geometry ◽  
Bounded Geometry ◽  
Modified Burgers Equation ◽  
Basic Features ◽  
Ion Acoustic Shock Waves ◽  
Stationary Dust ◽  
Dusty Plasma System

AbstractThe propagation of dust ion-acoustic shock waves (DIASHWs) in an unmagnetized dissipative dusty plasma system consisting of inertial ions, non-inertial, non-extensive q-distributed electrons, and negatively charged stationary dust is investigated in bounded non-planar (cylindrical and spherical) geometry. A modified Burgers equation is derived and its numerical solution is obtained. It is found that the basic features of DIASHWs are significantly modified by the effects of electron non-extensivity and ion kinematic viscosity in bounded geometry. It is also shown that the propagation characteristics of non-planar DIASHWs in a non-extensive plasma are qualitatively different from those of planar ones.

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