ITERATIVE METHOD FOR SOLVING HIGHER ODER DIFFERENTIAL EQUATIONS WITH COEFFICIENTS DEPENDENT ON INTEGRAL FUNCTIONS

Abstract

In higher order differential equations, classes of equations contain coefficients that depend on integral functions describing special types of problems in mechanics that are of interest to scientists recently. The results studied often refer to the qualitative nature of the problems. However, finding the numerical solution of these types of problems has not been considered due to the special form of the problem. The content of the article consists of two parts: The first part presents the results of developing a higher oder differential diagram for the second order differential equation, the second part presents the results of building a loop iteration of higher oder differential equations with coefficients that depend on integral functions. The numerical experimental results on higher oder differential diagram confirm the effectiveness of the proposed iteration diagram.