New Finite-Difference Solution Methods for Wave Instability Problems
Two finite-difference methods are proposed for solving wave instability problems with and without coupling between momentum and energy equations. Neutral critical stability results are compared with those generated by the Runge-Kutta integration method in conjunction with an orthonormalization procedure. The new finite-difference methods are found to be very accurate, timesaving, and easy to program. They can also be applied to solve systems of high-order ordinary differential equations.
S. Lee et al., "New Finite-Difference Solution Methods for Wave Instability Problems," Numerical Heat Transfer, Taylor & Francis, Jan 1986.
The definitive version is available at https://doi.org/10.1080/10407788608913505
Mechanical and Aerospace Engineering
Article - Journal
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