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

Najmuddin Ahmad, Shiv Charan

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].


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How to Cite this Article:

Najmuddin Ahmad, Shiv Charan, Numerical accuracy between Runge-Kutta Fehlberg method and Adams-Bashforth method for first order ordinary differential equations with boundary value, Journal of Mathematical and Computational Science, Vol 6, No 6 (2016), 1145-1156

Copyright © 2016 Najmuddin Ahmad, Shiv Charan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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