Existence and Approximation of Solutions to a Linear Partial Differential Equation

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

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The asymptotic behaviour of the solution of a semi-linear partial differential equation relatedto an active pulse transmission line

Proceedings of the Japan Academy ◽

10.3792/pja/1195522892 ◽

1963 ◽

Vol 39 (10) ◽

pp. 726-730 ◽

Cited By ~ 5

Author(s):

Masaya Yamaguti

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Asymptotic Behaviour ◽

Transmission Line ◽

Linear Partial Differential Equation ◽

Partial Differential ◽

Pulse Transmission

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The Invariants of the Linear Partial Differential Equation of the Second Order in two Independent Variables

Proceedings of the London Mathematical Society ◽

10.1112/plms/s2-10.1.406 ◽

1912 ◽

Vol s2-10 (1) ◽

pp. 406-422

Author(s):

J. E. Campbell

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Second Order ◽

Partial Differential ◽

Independent Variables ◽

Two Independent Variables

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On the Use of a Property of Jacobians to Determine the Character of any Solution of an Ordinary Differential Equation of the First Order or of a Linear Partial Differential Equation of the First Order

Proceedings of the London Mathematical Society ◽

10.1112/plms/s2-20.1.85 ◽

1922 ◽

Vol s2-20 (1) ◽

pp. 85-92 ◽

Cited By ~ 1

Author(s):

M. J. M. Hill

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Partial Differential ◽

First Order

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Behavior of the Second Moment of the Solution to the Autonomous Stochastic Linear Partial Differential Equation with Random Parameters in the Right-Hand Side

Cybernetics and Systems Analysis ◽

10.1007/s10559-015-9697-x ◽

2015 ◽

Vol 51 (1) ◽

pp. 56-63 ◽

Cited By ~ 2

Author(s):

V. S. Koroliuk ◽

I. V. Yurchenko ◽

V. K. Yasynskyy

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Random Parameters ◽

Partial Differential ◽

Second Moment ◽

Right Hand ◽

The Right

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Integral averages and oscillation criteria for half-linear partial differential equation

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00198-x ◽

2004 ◽

Vol 150 (1) ◽

pp. 69-87 ◽

Cited By ~ 7

Author(s):

Robert Mařı́k

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Partial Differential ◽

Oscillation Criteria

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Rapid Filling of a Cylinder With a Compressible Fluid

Journal of Engineering for Industry ◽

10.1115/1.3610109 ◽

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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