Work place: Department of Mathematics, Jashore University of Science and Technology, Jashore-7408, Bangladesh

E-mail: asif.math@just.edu.bd

Website:

Research Interests: Numerical Analysis, Mathematical Software, Mathematics of Computing

Biography

Mohammad Asif Arefin works at the Jashore University of Science and Technology (JUST), Jashore-7408, Bangladesh as a Lecturer in the Department of Mathematics. He obtained his B.Sc. (Honors) degree in Mathematics and M.S (Thesis) degree in Mathematics from Shahjalal University of Science and Technology (SUST), Sylhet-3114, Bangladesh. Later, he earned a Post Graduate Diploma (PGD) in Information Technology (IT) from the Institute of Information and Communication Technology (IICT), SUST. His research interest consists of Numerical Simulation, Mathematical Modeling, Meteorology, Solution of Partial Differential Equations, etc. He has good command over MATLAB, Maple, C, FORTRAN Programming Language, etc. His long-term goal is to be a successful person through teaching and research.

##### Accuracy Analysis for the Solution of Initial Value Problem of ODEs Using Modified Euler Method

DOI: https://doi.org/10.5815/ijmsc.2021.02.04, Pub. Date: 8 Jun. 2021

There exist numerous numerical methods for solving the initial value problems of ordinary differential equations. The accuracy level and computational time are not the same for all of these methods. In this article, the Modified Euler method has been discussed for solving and finding the accurate solution of Ordinary Differential Equations using different step sizes. Approximate Results obtained by different step sizes are shown using the result analysis table. Some problems are solved by the proposed method then approximated results are shown graphically compare to the exact solution for a better understanding of the accuracy level of this method. Errors are estimated for each step and are represented graphically using Matlab Programming Language and MS Excel, which reveals that so much small step size gives better accuracy with less computational error. It is observed that this method is suitable for obtaining the accurate solution of ODEs when the taken step sizes are too much small.