The discussion centers on finding comprehensive resources for solving the second order damped wave equation in the context of partial differential equations (PDEs). Participants highlight the lack of materials that cover all damping cases: overdamped, underdamped, and critically damped. A specific resource from MIT OpenCourseWare is suggested, but it does not meet the advanced requirements for PDEs. The need for high-level examples specifically tailored to PDEs is emphasized.
PREREQUISITESMathematicians, physicists, and engineers specializing in differential equations, particularly those focused on advanced applications of damped wave equations in partial differential equations.
dwsmith said:Does anyone know where I find second order damped wave equation worked where the overdamped, underdamped, and critically damped cases are all taken into account?
I found resources where they throughout the overdamped and just focus on the underdamped.
Sudharaka said:Hi dwsmith, :)
Are you trying to find an article where all the cases; over-damping, under-damping and critical damping are described? Then the following lecture note from MIT OpenCourseWare may help you.
http://ocw.mit.edu/courses/mathemat...monic-oscillators/MIT18_03SCF11_s13_2text.pdf
Kind Regards,
Sudharaka.