A Weighted Least Squares Method for the Backward-Forward Heat Equation
- 1 February 1991
- journal article
- research article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 28 (1) , 156-167
- https://doi.org/10.1137/0728008
Abstract
A weighted least squares method is given for the numerical solution of parabolic partial differential equations where the diffusion coefficient changes sign. The second-order equation is transformed into a first-order system of symmetric-positive differential equations in the sense of Friedrichs and the system is solved using least squares techniques. Error estimates and some numerical examples are presented.Keywords
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