V.M. ABDULLAYEV, S.G. TALIBOV
ON A NUMERICAL SOLUTION TO THE LOADED MATHEMATICAL PHYSICS EQUATIONS
The article is dedicated to a numerical solution to the loaded partial differential equations. As an illustration, we consider a boundary-value problem for a parabolic equation with different versions of point loading. By applying difference approximation methods, the considered problems are reduced to the solution to systems of algebraic equations of a special structure. To solve these systems, we propose methods that use the solution to well-structured algebraic systems. The results of some numerical experiments and their analysis are given.
Keywords: loaded differential equation, parabolic equation, finite-difference method, sweep method
ON A NUMERICAL SOLUTION TO THE LOADED MATHEMATICAL PHYSICS EQUATIONS
The article is dedicated to a numerical solution to the loaded partial differential equations. As an illustration, we consider a boundary-value problem for a parabolic equation with different versions of point loading. By applying difference approximation methods, the considered problems are reduced to the solution to systems of algebraic equations of a special structure. To solve these systems, we propose methods that use the solution to well-structured algebraic systems. The results of some numerical experiments and their analysis are given.
Keywords: loaded differential equation, parabolic equation, finite-difference method, sweep method