THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS USING ADAM’S METHOD BY MATLAB

MATLAB, which stands for Matrix Laboratory, is a software package developed by Math Works, Inc. to facilitate numerical computations as well as some symbolic manipulation .It strikes us as being slightly more difficult to begin working with it than such packages as Maple, Mathematical , and Macsyma, though once you get comfortable with it, it offers greater flexibility. The main point of using it is that it is currently the package you most likely found yourself working with if you get a job in engineering or industrial mathematics .So we found that the Matlab method in differential equations is very important and useful mathematical tools which help us to solve and plot differential equations .The aims of this paper is to solve differential equations numerically using Adams’ method by MATLAB and compare between numerical and Matlab solution such that the Matlab solution is one of the most famous mathematical programs in solving mathematical problems. We followed the applied mathematical method using Matlab and we compared between the two solutions whence accuracy and speed .Also we explained that the solution of Matlab is more accuracy and speed than the numerical solution which proves the aptitude the usage of Matlab in different mathematical methods.