Investigation of explicit numerical methods for solving parabolic equations

Introduction. Numerical methods for solving heat conduction equations are widely used in various fields of science and technology. The development of new improved numerical algorithms for solving parabolic equations makes it possible to increase the accuracy of calculations, remove restrictions on the integration step in time, which will allow us to obtain solutions to practical problems in an acceptable time with high accuracy. The purpose of this work is to study the explicit methods for solving parabolic type equations using the example of solving the equation of thermal conductivity with variable coefficients.