Numerical solution technique for solving isoperimetric variational problems

A. M. S. Mahdy and E. S. M. Youssef ()
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A. M. S. Mahdy: Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, 26571, Saudi Arabia†Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
E. S. M. Youssef: #x2020;Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 01, 1-14

Abstract: In this paper, we have a zeal for fulfilling the estimated scientific answers for the calculus of variations by using the Sumudu transform method (STM). The main target is to search the numerical arrangement of ordinary differential equations (ODEs) which emerge from the variational problems where first the fundamental condition for the arrangement of the issue is to fulfill the Euler–Lagrange condition and then solve the equations using STM. The valuable properties of the Sumudu change technique are used to downsize the calculation of the issue to a gathering of straight arithmetical conditions. We introduce four variational problems and discover the numerical solution of those problems using STM and plot the curves of those solutions. These models are picked such that there exist systematic answers for them to offer a reasonable diagram and show the effectiveness of the proposed strategy. Numerical outcomes are registered utilizing Maple programming.

Keywords: Analytics of variety; Sumudu transform method; Euler–Lagrange condition; isoperimetric problem; extremum of function (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500029

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