Numerical Solution of Delayed Linearized Quasistationary Phase-Field System of Equations
Authors
Ekaterina Aleksandrovna Omelchenko
Ural Branch of Russian Academy of Justice
Marina Vasilyevna Plekhanova
South Ural State University
Pavel Nikolaevich Davydov
Chelyabinsk State University
Keywords:
Sobolev type equation, quasistationary phase-field system of equations, difference scheme
Abstract
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.
Author Biographies
Ekaterina Aleksandrovna Omelchenko, Ural Branch of Russian Academy of Justice
Senior Lecturer, Department of Humanities and socio-economic disciplines
Marina Vasilyevna Plekhanova, South Ural State University
Associate Professor, Differential and Stochastic Equations Department
Pavel Nikolaevich Davydov, Chelyabinsk State University
Post-graduate student, Mathematical Analysis Department
