‎The spectral analysis of two classes of third order boundary value problems is investigated‎. ‎For every positive integer $m$ we construct two classes of regular third order boundary value problems with at most $2m+1$‎ ‎eigenvalues‎, ‎counting multiplicity‎. ‎These kinds of finite spectrum results are previously known only for even order boundary value problems‎.

The paper details the use of a nonperturbation successive linearization method to solve the coupled nonlinear boundary value problem due to double-diffusive convection from an inverted cone. Diffusion-thermo and thermal-diffusion effects have been taken into account. The governing partial differential equations are transformed into ordinary differential equations using a suitable similarity tra...

We study the stability of the perfectly matched layer (PML) for symmetric second order hyperbolic partial differential equations on the upper half plane, with boundary conditions at y = 0. Using a mode analysis, we develop a technique to analyze the stability of the corresponding initial boundary value problem on the half plane. We apply our technique to the PML for the elastic wave equations s...