Numerical Method of Lines for First Order Partial Differential-Functional Equations

2002 ◽  
Vol 21 (4) ◽  
pp. 949-962 ◽  
Author(s):  
Anna Baranowska ◽  
Zdzisław Kamont
Keyword(s):  
Numerical Method ◽  
Functional Equations ◽  
Method Of Lines ◽  
Partial Differential ◽  
First Order

A Numerical Study of Nonaxisymmetric Stokesian Flow in a Circular Tube

1981 ◽  
Vol 48 (3) ◽  
pp. 459-464
Author(s):  
J. Strigberger ◽  
A. Plotkin
Keyword(s):  
Differential Equations ◽  
Numerical Method ◽  
Circular Tube ◽  
Numerical Study ◽  
Mathematical Problem ◽  
Method Of Lines ◽  
Tube Axis ◽  
First Order ◽  
The Method Of Lines ◽  
Fixed Radius

A numerical study of the nonaxisymmetric Stokesian flow of a Newtonian fluid in a rigid circular tube of fixed radius has been performed. The analysis presented here is an integral part of the problem of modeling the flow of blood near the ostia of the intercostal arteries of rabbits in order to study a possible factor in the initiation of atherosclerosis. The method of lines is used to reduce the mathematical problem to one of solving a system of first-order ordinary differential equations along lines parallel to the tube axis. Solutions are obtained analytically using matrix eigenvalue techniques for the first two Fourier components of the flow and the accuracy of the numerical method is verified by suitable comparison with the results of independent computations.

Sign in / Sign up

Export Citation Format

Share Document