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Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing

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  • Guanglu Zhou
  • Boying Wu
  • Wen Ji
  • Seungmin Rho

Abstract

This study presents numerical schemes for solving a parabolic partial differential equation with a time- or space-dependent coefficient subject to an extra measurement. Through the extra measurement, the inverse problem is transformed into an equivalent nonlinear equation which is much simpler to handle. By the variational iteration method, we obtain the exact solution and the unknown coefficients. The results of numerical experiments and stable experiments imply that the variational iteration method is very suitable to solve these inverse problems.

Suggested Citation

  • Guanglu Zhou & Boying Wu & Wen Ji & Seungmin Rho, 2015. "Time- or Space-Dependent Coefficient Recovery in Parabolic Partial Differential Equation for Sensor Array in the Biological Computing," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:573932
    DOI: 10.1155/2015/573932
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