Abstract
We present three alternative derivations of the method of characteristics (MOC) for a second order nonlinear hyperbolic partial differential equation. The MOC gives rise to two mutually coupled systems of ordinary differential equations. As a special case we consider the Monge-Ampere (MA) equation, for which we solve the system of ODEs using explicit one-step methods (Euler, Runge-Kutta) and spline interpolation. Numerical examples demonstrate the performance of the methods.
Original language | English |
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Number of pages | 43 |
Journal | arXiv |
Volume | 2021 |
Issue number | 2104.11659[math.NA] |
Publication status | Published - Apr 2021 |