NASA NTRS · 19760043476
On the solution of two-point linear differential eigenvalue problems
Abstract
A numerical technique is presented for locating the eigenvalues of two point linear differential eigenvalue problems. The technique is designed to search for complex eigenvalues belonging to complex operators. With this method, any domain of the complex eigenvalue plane could be scanned and the eigenvalues within it, if any, located. For an application of the method, the eigenvalues of the Orr-Sommerfeld equation of the plane Poiseuille flow are determined within a specified portion of the c-plane. The eigenvalues for alpha = 1 and R = 10,000 are tabulated and compared for accuracy with existing solutions.
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Antar, B. N.. 1976-02-01. On the solution of two-point linear differential eigenvalue problems. https://ntrs.nasa.gov/citations/19760043476
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