A modified integral equation method of the semilinear backward heat problem |
| |
Authors: | Nguyen Huy Tuan Dang Duc TrongPham Hoang Quan |
| |
Institution: | a Department of Mathematics and Application, Saigon University, 273 An Duong Vuong, Ho Chi Minh City, Viet Nam b Department of Mathematics, University of Natural Science, Vietnam National University, 227 Nguyen Van Cu, Q5, Ho Chi Minh City, Viet Nam |
| |
Abstract: | The paper is concerned with the non-linear backward heat equation in the rectangle domain. The problem is severely ill-posed. We shall use a modified integral equation method to regularize the nonlinear problem. The error estimates of Hölder type of the regularized solutions are obtained. Numerical results are presented to illustrate the accuracy and efficiency of the method. This work is a generalization of many earlier papers, including the recent paper D.D. Trong, N.H. Tuan, Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation, Nonlinear Anal. 71 (9) (2009) 4167-4176]. |
| |
Keywords: | Backward heat problem Ill-posed problem Nonlinear heat Contraction principle |
本文献已被 ScienceDirect 等数据库收录! |
|