SOLVING INITIAL-VALUE DIFFERENTIAL PROBLEMS USING NUMERICAL MULTISTEP METHOD

Seferi, Ylldrita and Sadiki, Flamure and Ibraimi, Alit and Rasimi, Krutan (2020) SOLVING INITIAL-VALUE DIFFERENTIAL PROBLEMS USING NUMERICAL MULTISTEP METHOD. Journal of Natural Sciences and Mathematics of UT, 5 (9-10). pp. 140-150. ISSN 2671-3039

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Abstract

Differential equations are used to model problems in science and engineering that involve the change of some variable with respect to another. In real-life problems, the differential equation that models the problem is too complicated to solve exactly for this reason, in recent years much attention has been devoted to deriving numerical methods for approximating their solution. In particular, in this paper we consider the use of Adams-Bashforth like a multi-step method. Adams-Bashforth method of different steps is constructed, and then we use the fourth-step one, on Mathematica Package for numerical approaches. The numerical results are compared with analytical ones, shown in different ways, tables and graphics, accompanied by examples of their use.

Item Type: Article
Uncontrolled Keywords: Differential Equation, Initial-Value Problem, Adams-Bashforth Method, Numerical Approach, Analytical Solution
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Unnamed user with email zshi@unite.edu.mk
Date Deposited: 13 Nov 2020 15:49
Last Modified: 13 Nov 2020 15:49
URI: http://eprints.unite.edu.mk/id/eprint/612

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