METHOD FOR EFFICIENT SOLUTION OF QUASI-LINEAR TEMPERATURE PROCESSES

28.11.2022 International Scientific Journal "Science and Innovation". Series A. Volume 1 Issue 8

X. Tog`aymurodov

Abstract. When describing many real physical processes, nonlinear differential equations with partial derivatives are formed. The study of the general properties of nonlinear equations and methods for their solution is an important direction in the field of computing technologies. Although there are interesting studies and many effective methods for solving and investigating such equations, this area of applied mathematics does not have a sufficient theoretical basis, as in the theory of linear equations.

Keywords: implicit scheme, implicit iterative scheme, number of iterations, number of arithmetic operations, number of grid layers, grid steps, linear and nonlinear differential scheme, heat transfer coefficient, quasilinear equation, initial and boundary conditions.