Rosenbrock scheme for solving two-dimensional unsteady nonlinear equation of heat conductivity
Kokonkov N., Aristova E.
"Математика. Компьютер. Образование". Cб. трудов XVII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2010 (in press). (accepted)
Two-dimensional unsteady nonlinear equation of heat conductivity is solved on the basis of the single-stage Rosenbrock scheme with complex coefficients CROS on rectangular grid. The scheme is examined for monotony, depen-dency of numerical solution accuracy on time and space steps for different powers of nonlinearity. Each time numerical solution is compared with precise self-similar solution for one-dimensional case.
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