Approximating Analysis of the Dzektser Mathematical Model

Abstract

      The article studies the solvability of the Dzektser mathematical model according to the theoretical consequences in the quasi-Sobolev. It employs the results to improve an algorithm form of the approximate approach to find approximate solutions of the Dzektser model. The work investigates the analog of the Dirichlet problem in a bounded domain with boundary conditions for the Dzektser model. A suggested numerical method allows us to find approximate solutions of the Dzektser mathematical model under consideration in quasi-Sobolev space. The convergence of the approximate solution to the analytical solution is fulfilled.