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Identification of a Time‐Dependent Coefficient in Heat Conduction Problem by New Iteration Method

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  • Dejian Huang
  • Yanqing Li
  • Donghe Pei

Abstract

This paper investigates the problem of identifying unknown coefficient of time dependent in heat conduction equation by new iteration method. In order to use new iteration method, we should convert the parabolic heat conductive equation into an integral equation by integral calculus and initial condition. This method constructs a convergent sequence of function, which approximates the exact solution with a few iterations and does not need complex calculation. Illustrative examples are given to demonstrate the efficiency and validity.

Suggested Citation

  • Dejian Huang & Yanqing Li & Donghe Pei, 2018. "Identification of a Time‐Dependent Coefficient in Heat Conduction Problem by New Iteration Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:4918256
    DOI: 10.1155/2018/4918256
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    References listed on IDEAS

    as
    1. Dehghan, Mehdi, 2007. "The one-dimensional heat equation subject to a boundary integral specification," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 661-675.
    2. Sachin Bhalekar & Varsha Daftardar-Gejji, 2012. "Solving Fractional-Order Logistic Equation Using a New Iterative Method," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-12, October.
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