NASA NTRS · 19950023722
Second-order numerical solution of time-dependent, first-order hyperbolic equations
Abstract
A finite difference scheme is developed to find an approximate solution of two similar hyperbolic equations, namely a first-order plane wave and spherical wave problem. Finite difference approximations are made for both the space and time derivatives. The result is a conditionally stable equation yielding an exact solution when the Courant number is set to one.
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Shah, Patricia L., Hardin, Jay. 1995-05-01. Second-order numerical solution of time-dependent, first-order hyperbolic equations. https://ntrs.nasa.gov/citations/19950023722
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