Global numerical simulation of an inverse problem for the heat equation by the bounding transform

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  • 有界化による熱伝導逆問題の大域的数値計算
  • ユウカイカ ニ ヨル ネツ デンドウ ギャクモンダイ ノ タイイキテキ スウチ ケイサン

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Abstract

In the paper an inverse problem for the heat equation is simulated directly and globaly. The bounding transform is used for avoiding unboundedness of the domain and the solution. A parameter is introduced for avoiding the difficulty in numerical computation which arise from the discontinuity. Moreover, it is useful for investigation of the growth rate. Numerical results are satisfactory.

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