Geodesic
Numerical solution of delayed linearized quasistationary phase-field system of equations
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 45-51

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For delayed linearized quasistationary phase-field system of equations the numerical method of solution was proposed. The convergence of explicit difference scheme that takes account of delay in the system under investigation was thoroughly studied. On the basis of the results obtained the implementation of the method was realized.
Keywords: Sobolev type equation; quasistationary phase-field system of equations; difference scheme. 
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     author = {E. A. Omelchenko and M. V. Plekhanova and P. N. Davydov},
     title = {Numerical solution of delayed linearized quasistationary phase-field system of equations},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {45--51},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a5/}
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E. A. Omelchenko; M. V. Plekhanova; P. N. Davydov. Numerical solution of delayed linearized quasistationary phase-field system of equations. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 5 (2013) no. 2, pp. 45-51. http://geodesic.mathdoc.fr/item/VYURM_2013_5_2_a5/