NUMERICAL MODELING OF NONLINEAR QUASI-LINEAR HEAT TRANSFER PROBLEM

Abstract

Creation of effective calculation methods for solving non-linear and quasi-linear partial differential equations is one of the urgent issues in the direction of computing technologies. It is important to solve the quasi-linear heat transfer equation in the form of linear, quadratic and cubic functions of the heat transfer coefficient temperature using different iteration schemes. In the same way, it is envisaged to justify the efficiency of the used methods by the number of arithmetic operations, to study the number of arithmetic operations of the methods depending on the non-linear parameter.