The Method of Fractional Steps for the Numerical Solution of a Multidimensional Heat Conduction Equation with Delay for the Case of Variable Coefficient of Heat Conductivity

Author:

Lekomtsev Andrei

Publisher

Springer International Publishing

Reference15 articles.

1. Castro, M.A., Rodriguez, F., Cabrera, J., Martin, J.A.: Difference schemes for time-dependent heat conduction models with delay. Int. J. Comput. Math. 91(1), 53–61 (2014)

2. Garcia, P., Castro, M.A., Martin, J.A., Sirvent, A.: Numerical solutions of diffusion mathematical models with delay. Math. Comput. Model. 50(5–6), 860–868 (2013)

3. Kropielnicka, K.: Convergence of implicit difference methods for parabolic functional differential equations. Int. J. Mat. Anal. 1(6), 257–277 (2007)

4. Lekomtsev, A.V., Pimenov, V.G.: Convergence of the alternating direction methods for the numerical solution of a heat conduction equation with delay. Proc. Steklov Inst. Math. 272(1), 101–118 (2011)

5. Lekomtsev, A.V., Pimenov, V.G.: Convergence of the scheme with weights for the numericalsolution of a heat conduction equation with delay for the case of variable coefficient of heatconductivity. Appl. Math. Comput. 256, 83–93 (2015)

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