A Variant Algorithm for Solving Eigenvalue Equation in Linear Stability Problems
Zongchun Qiao, P. N. Kaloni · Volume 6: Fluids and Thermal Systems; Advances for Process Industries, Parts A and B · 2011
We present a new approach, based upon the chebyshev tau-QZ algorithm, quesi-Newton technique, and the minimum optimization routine, to study the numerical solutions of the non-linear eigenvalue problem, arising in the linear stability analysis of non-Newtomian fluid. One principal advantage of our approach is that the resolution of the non-linear eigenvalue problem is changed into a search algorithm, and the calculation leading to the determination by both natural stability and overstability can be unified in a single code. Numerical results show that our results, obtained by this approach, are in excellent agreement with the worthy previous authors.