Analytical solutions of some mechanics problems by Elzaki transform

Umamaheshwar Rao Ramachandruni; Yuvaraju Namala

doi:10.17485/IJST/v13i47.1971

Article

Analytical solutions of some mechanics problems by Elzaki transform

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v13i47.1971

Year: 2020, Volume: 13, Issue: 47, Pages: 4606-4618

Original Article

Analytical solutions of some mechanics problems by Elzaki transform

Umamaheshwar Rao Ramachandruni^1*, Yuvaraju Namala¹

¹Division of Mathematics, Department of Science and Humanities, Sreenidhi Institute of Science of and Technology, Ghatkesar, Medchal, 501301, Telangana, India. Tel.: +91-9440033373

*Corresponding Author
Tel: +91-9440033373
Email: [email protected]

Received Date:07 November 2020, Accepted Date:14 December 2020, Published Date:28 December 2020

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To discuss the applicability of new kind of transform technique named as Elzaki transform in solving the higher order ordinary linear differential equations occurred in various categories of vibrations in the field of engineering mechanics. Methods: We have selected some problems in the field of engineering mechanics to study the solutions with the help of Elzaki transform technique. We have used Elzaki transform method and also MATLAB to draw graphs for the obtained solutions of selected problems. Findings: We have successfully applied this new transform technique in finding the analytical solutions and compared with the graphs drawn with MATLAB. Novelty/Applications: We may apply this new kind of transform technique named as Elzaki transform to get the analytical solutions of differential equations.

Keywords: Elzaki transform; differential equations; vibrations

References

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Copyright

© 2020 Ramachandruni & Namala.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)