Table of Content

Open Access iconOpen Access

ABSTRACT

A Fictitious Time Integration Method for One-Dimensional Nonhomogeneous Backward Heat Conduction Problems

Chih-Wen Chang

The International Conference on Computational & Experimental Engineering and Sciences 2011, 16(1), 19-20. https://doi.org/10.3970/icces.2011.016.019

Abstract

In this study, we propose a new numerical approach for solving the nonhomogeneous backward heat conduction problems (BHCPs). A fictitious time I" is used to transform the dependent variable u(x, t) into a new one by (1+I")u(x, t)=: v(x, t, I"), such that the original nonhomogeneous heat conduction equation is written as a new parabolic type partial differential equation in the space of (x, t, I"). Besides, a fictitious viscous damping coefficient can be employed to strengthen the stability of numerical integration of the discretized equations by utilizing a group preserving scheme. Several numerical instances illustrate that the present algorism can be used to retrieve the initial data very well. Even under the large noisy final data, the fictitious time integration method is also robust against noise.

Cite This Article

APA Style
Chang, C. (2011). A fictitious time integration method for one-dimensional nonhomogeneous backward heat conduction problems. The International Conference on Computational & Experimental Engineering and Sciences, 16(1), 19-20. https://doi.org/10.3970/icces.2011.016.019
Vancouver Style
Chang C. A fictitious time integration method for one-dimensional nonhomogeneous backward heat conduction problems. Int Conf Comput Exp Eng Sciences . 2011;16(1):19-20 https://doi.org/10.3970/icces.2011.016.019
IEEE Style
C. Chang, "A Fictitious Time Integration Method for One-Dimensional Nonhomogeneous Backward Heat Conduction Problems," Int. Conf. Comput. Exp. Eng. Sciences , vol. 16, no. 1, pp. 19-20. 2011. https://doi.org/10.3970/icces.2011.016.019



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 925

    View

  • 679

    Download

  • 0

    Like

Share Link