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- W3163291216 abstract "Finite difference implicit methods have been frequently used for solving the heat convection–diffusion equation. One of the biggest advantages of implicit schemes is that the solution remains well behaved for arbitrarily large time steps. Crank–Nicolson and alternating direction implicit and alternating direction semi-implicit methods are very popular finite difference methods. They have been previously applied in many heat convection–diffusion problems. In this paper, we use these finite difference implicit methods to solve the heat convection–diffusion equation for a thin copper plate. By comparing the results obtained by these methods, we determine the best method for solving problems related to heat transfer of a thin plate. The results depict that the alternating direction method provides the most accurate and stable solution. Crank–Nicolson method is suitable for large-scale solution and the alternate direction semi-implicit method requires less computation time but provides detritus solution in the x-direction." @default.
- W3163291216 created "2021-05-24" @default.
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- W3163291216 date "2021-01-01" @default.
- W3163291216 modified "2023-10-11" @default.
- W3163291216 title "Comparative Study of Different Implicit Finite Difference Methods to Solve the Heat Convection–Diffusion Equation for a Thin Copper Plate" @default.
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- W3163291216 doi "https://doi.org/10.1007/978-981-16-0586-4_9" @default.
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