|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|5129630||1489847||2018||9 صفحه PDF||سفارش دهید||دانلود کنید|
In this paper, we find a regularized approximate solution for an inverse problem for Burgers' equation. The solution of the inverse problem for Burgers' equation is ill-posed, i.e., the solution does not depend continuously on the data. The approximate solution is the solution of a regularized equation with randomly perturbed coefficients and randomly perturbed final value and source functions. To find the regularized solution, we use the modified quasi-reversibility method associated with the truncated expansion method with nonparametric regression. We also investigate the convergence rate.
Journal: Statistics & Probability Letters - Volume 132, January 2018, Pages 46-54