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APPML
2006
120views more  APPML 2006»
13 years 5 months ago
Inversion of general tridiagonal matrices
In the current work, the authors present a symbolic algorithm for finding the inverse of any general nonsingular tridiagonal matrix. The algorithm is mainly based on the work pres...
Moawwad E. A. El-Mikkawy, Abdelrahman Karawia
APPML
2006
50views more  APPML 2006»
13 years 5 months ago
The stability of Couette flow in a toroidal magnetic field
The stability of the hydromagnetic Couette flow is investigated when a constant current is applied along the axis of the cylinders. It is shown that if the resulting toroidal magn...
Isom H. Herron, Fritzner Soliman
APPML
2006
96views more  APPML 2006»
13 years 5 months ago
The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann equations
We consider the motion of a thin filament of viscous fluid in a HeleShaw cell. The appropriate thin film analysis and use of Lagrangian variables leads to the Cauchy-Riemann syste...
C. L. Farmer, Sam D. Howison
APPML
2006
61views more  APPML 2006»
13 years 5 months ago
A complete classification of simultaneous blow-up rates
We study the simultaneous blow-up rates of a system of two heat equations coupled through the boundary in a nonlinear way. We complete the previous known results by covering the w...
Cristina Brändle, Fernando Quirós, Jul...
APPML
2006
79views more  APPML 2006»
13 years 5 months ago
A note on a symmetry analysis and exact solutions of a nonlinear fin equation
A similarity analysis of a nonlinear fin equation has been carried out by M. Pakdemirli and A.Z. Sahin [Similarity analysis of a nonlinear fin equation, Appl. Math. Lett. (2005) (...
Ashfaque H. Bokhari, Abdul Hamid Kara, F. D. Zaman