Inverse problem of one-dimensional diffusion equation with point source emission

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Other Title
  • 点源放出の1次元拡散方程式の逆問題
  • テンゲン ホウシュツ ノ 1ジゲン カクサン ホウテイシキ ノ ギャクモンダイ

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Abstract

One-dimensional diffusion equation is investigated as a fundamental research for the reverse simulation. The diffusion equation of a concentration emitted from a point source is numerically solved to examine filtering methods for preventing numerical instability associated with the reverse simulation. Spatial oscillation of the concentration profile appears because the high-wavenumber Fourier components of the concentration increase owing to the numerical error and the components become as large as the low-wavenumber components representing the concentration profile. The method of filtering the concentration flux gave a better result because the fourth-order derivative term reduces the high-wavenumber components selectively.[This abstract is not included in the PDF]

Journal

  • SEISAN KENKYU

    SEISAN KENKYU 63 (1), 69-73, 2011

    Institute of Industrial Science The University of Tokyo

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