Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data

1980 ◽  
Vol 10 (3) ◽  
pp. 231-242 ◽  
Author(s):  
William Rundell ◽  
D. L. Colton
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Boundary Data ◽  
Linear Partial Differential Equation ◽  
Partial Differential

scholarly journals EVOLUTION OF MODULATIONAL INSTABILITY IN TRAVELLING WAVE SOLUTION OF NON-LINEAR PARTIAL DIFFERENTIAL EQUATION

2020 ◽  
Vol 5 (1) ◽  
pp. 1-7
Author(s):  
Ram Dayal Pankaj ◽  
Arun Kumar ◽  
Chandrawati Sindhi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Wave Solution ◽  
Modulational Instability ◽  
Nonlinear Partial Differential Equation ◽  
Linear Partial Differential Equation ◽  
Travelling Wave ◽  
Travelling Wave Solution ◽  
Partial Differential ◽  
Jacobian Elliptic Functions

The Ritz variational method has been applied to the nonlinear partial differential equation to construct a model for travelling wave solution. The spatially periodic trial function was chosen in the form of combination of Jacobian Elliptic functions, with the dependence of its parameters

Rapid Filling of a Cylinder With a Compressible Fluid

1967 ◽  
Vol 89 (3) ◽  
pp. 570-577
Author(s):  
A. E. Schmidlin
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Temperature Field ◽  
Temperature Rise ◽  
Compressible Fluid ◽  
Linear Partial Differential Equation ◽  
Partial Differential ◽  
Pressure Transient

A study was made of the temperatures in a cylindrical receiver resulting from rapid filling with a compressible fluid. The classical bottle-filling case was compared with the filling of a slender cylinder. The results indicate that the isentropic temperature rise was never realized even in cylinders filled in 1/40 sec. The temperature field was studied using a linear partial differential equation in transformed coordinates developed by H. Pfriem. The case of a pressure transient linear in time was solved. Simple methods are presented for transforming the results back to physical or real variables.

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