SOLVING THE PROBLEM FOR LAPLAC'S EQUATION USING THE GRID METHOD

Abstract

This article is devoted to some features of teaching physics-mathematics course in higher educational institutions. The need to teach students to independently search for new information with new methods and approaches in teaching the physics-mathematics course is presented in the article. There are typical mathematical problems that cannot be solved by classical methods, or even if they can be solved, the solution looks so complicated that it is impossible to use it effectively. Such typical mathematical problems include solving a system of linear algebraic equations with a very large order in algebra, finding the inverse of matrices, finding eigenvalues of matrices, solving algebraic and transcendental equations and systems of such equations, numerical integration and differentiation in mathematical analysis, function approximation problems, as well as simple and problems of solving partial differential equations and others are included. The increase in the number of objects studied in mathematics expands the fields of practical application of this science. For example, scientists such as K.Gauss, J.Fure, O.Koshi, M.V.Ostrogradsky created the method of variational calculus, solved the extremum problems of mechanics and physics using derivatives. European scientists L. Euler, J. A. Lagrange, G. W. Leibniz, G. Kramer, K. Jacobi, J. G. Stokes, Dj. Ortega, B. Boltsano, K. Weirstrass and others developed a differential and integral calculus course using various proof methods. In the further development of these methods, European scientists B.P. Demidovich, B.S. Kronberg, A.A. Samarsky, N.S. Bakhvalov, G.I. 7 Marchuk, I.S. Berezin, V.Q. from Uzbek scientists. Qabulov, M. Israilov, A. Abdukadirov and others contributed greatly.