Numerical Modeling of Heat Conduction Equation with Piecemeal Intermittent Continuous Coefficient

In this paper, the thermal conductivity equation with a continuous coefficient of fractional continuity is numerically modeled by differential methods and spectral-grid methods. For numerical modeling of the problem, a numerical solution algorithm was developed on the basis of differential schemes and spectral-grid methods, software for the algorithm was developed, and the numerical results were analyzed. Extensive computational experiments were performed at different values of the characteristic parameters, the numerical results obtained and their analysis were presented.

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