| Summary: | In the present paper, stability analysis is performed to the dual solutions obtained in boundary layer
flow of micropolar fluid over a shrinking sheet with exponential velocity. The problem is first considered
as time-dependent problem. Then, the governing equations are transformed into ordinary differential
equations using similarity transformations. Linear eigenvalue equations are introduced, and the
smallest eigenvalues are computed by using a MATLAB solver called the bvp4c solver. The first solution
is found to have positive smallest eigenvalues, while the second solution has negative smallest
eigenvalues. Thus, the stable solution is the first solution, while the second solution is unstable.
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