A new explicit method for the numerical solution of parabolic differential equationsA new method is derived for solving parabolic partial differential equations arising in transient heat conduction or in boundary-layer flows. The method is based on a combination of the modified differential quadrature (MDQ) method with the rational Runge-Kutta time-integration scheme. It is fully explicit, requires no matrix inversion, and is stable for any time-step for the heat equations. Burgers equation and the one- and two-dimensional heat equations are solved to demonstrate the accuracy and efficiency of the proposed algorithm. The present method is found to be very accurate and efficient when results are compared with analytic solutions.
Document ID
19840057870
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Satofuka, N. (NASA Ames Research Center Moffett Field, CA, United States)