Numerical accuracy between Runge-Kutta Fehlberg method and Adams-Bashforth method for first order ordinary differential equations with boundary value

Abstract

There are many problems in the field of science, engineering and technology which can be solved by differential equations formulation. This research will compare the accuracy of various method, the Runge-Kutta Fehlberg method and Adams-Bashforth method, in completing numerical solutions of differential equations, which is limited to ordinary differential equation of first order. Numbers of differential equations solved by the MATLAB version 7.9 to compare the accuracy between Runge-Kutta Fehlberg and Adams-Bashforth method. It can be concluded that Runge-Kutta Fehlberg method as more rigorous accuracy than the Adams-Bashforth method for solving linear ordinary differential equations of first order [1].