Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

2019 ◽  
Vol 11 (2) ◽  
pp. 486-500
Author(s):  
Weishan Zheng
Keyword(s):  
Differential Equation ◽  
Convergence Analysis ◽  
Spectral Methods ◽  
Second Order ◽  
Integro Differential Equation ◽  
Equation With Delay

Electrogravitational stability of streaming compound jets

2016 ◽  
Vol 09 (02) ◽  
pp. 1650032 ◽  
Author(s):  
Alfaisal A. Hasan
Keyword(s):  
Differential Equation ◽  
Electric Field ◽  
Second Order ◽  
Integro Differential Equation

The electrohydrodynamic stability of a self-gravitating streaming compound jet has been investigated for all modes of perturbation. The jets are immersed in a dielectric motionless tenuous medium pervaded by varying electric field. A second-order integro-differential equation of Mathieu type has been derived and some reported works are recovered as limiting cases from it.

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