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Numerical Solution of Nonhomogeneous Backward Heat Conduction Problem

Sufang Yue, Hongmei Zhang, Zongli Ma

Abstract


This paper is concerned with numerical method for the solution of nonhomogeneous backward heat conduction problem(BHCP).Using the predominant properties of the reproducing kernel,the analytical solution is represented in the form of series in the reproducing kernel space. The n - term
approximation n_u derived from the analytical solution u is proved to converge to the analytical solution. Numerical example is presented to demonstrate the efficiency and accuracy of the numerical method.

Keywords


Backward heat conduction;,Analytical solution, Reproducing kernel space.

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