动力系统法求解逆热传导

Dynamical systems method for solving sideways heat equation

为克服逆热传导的严重不适定性,基于动力系统法的一种简单形式,并利用后验停止准则来获取其稳定的数值解.理论分析和数值试验结果均表明:该方法具有简洁、高效、结果稳定等优点.

To overcome the severely ill-posedness of sideways heat equation, a version of the dynamical systems method which using posteriori stopping rules was used to gain the stable numerical solution of the sideways heat equation. Theoretical analysis and numerical test indicate that the proposed method possesses the advantages of high-efficiency, simple operation, stability and so on.