SOLVING NONLINEAR FOURTH ODER DIFERENTIAL EQUATION WITH COEFFICIENT DEPENDENT ON INTEGRAL FUNCTION BY NUMERICAL METHOD

Abstract

In recent years, higher-order differential equations problems have been of interested to many domestic and foreign scientists. There have been many approaches and solutions to these problems, one of which must be mentioned is how to build operators and use contraction mapping. In these problems, the class nonlinear higher-order differential equations with coefficcient dependent  on integral function is very important in mechanics. Finding analytic solutions for classes of these problems is difficult, so solving these numerical problems is very necessary. In this paper, we present the solving of nonlinear fourth oder differential equations with coefficient dependent on integral function by numerical methods. At the same time, we also compare the convergence speed of this iterative method with previous methods to see the effectiveness of the method.