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Rozin Khatun, M. and Shajib Ali, Md. (2020) Stability Analysis of Finite Difference Schemes for Heat Equation with Various Thermal Conductivity. International Journl of Scientific & Engineering Reserch, 11, 1275-1282.

has been cited by the following article:

• TITLE: A Numerical Solution of Heat Equation for Several Thermal Diffusivity Using Finite Difference Scheme with Stability Conditions

  AUTHORS: Wahida Zaman Loskor, Rama Sarkar

  KEYWORDS: Heat Equation, Finite-Difference Scheme, Explicit Centered Difference Scheme, Thermal Diffusivity

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.2, February 24, 2022

  ABSTRACT: The heat equation is a second-order parabolic partial differential equation, which can be solved in many ways using numerical methods. This paper provides a numerical solution that uses the finite difference method like the explicit center difference method. The forward time and centered space (FTCS) is used to a problem containing the one-dimensional heat equation and the stability condition of the scheme is reported with different thermal conductivity of different materials. In this study, results obtained for different thermal conductivity of distinct materials are compared. Also, the results reveal the well-behavior properties of the materials in good agreement.