A demonstration program on Pascal for the numeric settlement of the non-linear differential equation by the Galorkin method using trigonometric or polynomial functions g(x), the number of which is determined by the user. The method leads to a system of non-linear equations relative to steel C, which is linked by the Newton method. The components of the Hesse matrix are analytically determined. Newton's method leads to a system of linear algebraic equations relative to unknown steels (connected by Gauss' method with the choice of the main element).
#delphi #Lazarus #Freepascal #pascal #matematics
#delphi #Lazarus #Freepascal #pascal #matematics