A Linear Boundary Value Problem Associated with the Hinged and Clamped Beam Equation Solve by Elzaki Transform



Abstract Views
158

Downloads
133

Citations

Share

##plugins.themes.bootstrap3.article.sidebar##

Submitted Feb 1, 2023
Published Apr 30, 2023
10.24018/ejmath.2023.4.3.211

Abstract viewed = 158 times

Table of Contents

##plugins.themes.bootstrap3.article.main##

Introduction of Elzaki transform and its application is the topic of this paper. The definition of Elzaki transform and its properties have been mentioned and apply on ordinary differential equation. Elzaki transform is effective tool for engineering to solve some problems such as electrical/electronic, dynamic system analysis, mechanical and civil engineering. In this paper spicily introduce the application of hinged and clamped Beam Problem for civil engineering.

Keywords: Elzaki transform Inverse Elzaki transform Ordinary differential equation Beam equation

References

  1. Elzaki T.M. and Ezaki SM. On the connections between Laplace and ELzaki transforms. Advance in Theoretical and Applied Mathematics.2011;6(1):1-11.
     Google Scholar
  2. Elzaki TM. and Ezaki S.M. On the ELzaki transforms and Ordinary Differential Equation with Variable Coefficients. Advance in Theoretical and Applied Mathematics. 2011;6(1):13-18.
     Google Scholar
  3. Elzaki T.M. The New Integral Transform “Elzaki Transform”. Global Journal of Pure and Applied Mathematics. 2011;6(1):57-64.
     Google Scholar
  4. Elzaki T.M. On the New Integral Transform “Elzali Transform” Fundamental Properties Investigation and Applications. Global
     Google Scholar
  5. Journal of Mathematical Science: Theory and Practical. 2012;4(1):1-13. http://www.irphouse.com
     Google Scholar
  6. Ezaki T.M., Elzaki S.M. and Eman M.A.H. Elzaki and Sumudu Transform for solving some differential equations. Global Journal
     Google Scholar
  7. of Pure and Applied Mathematics. 2012;(2):167-173.
     Google Scholar
  8. T.M. Elzaki and S.M. Elzaki. On The Connections Between Laplace and Elzaki Transforms. Advances in Theoretical and Applied
     Google Scholar
  9. Mathematics. 2012;6(1):1-10. http://www.ripublication.com/gjpam.htm
     Google Scholar
  10. ELtayehH.andKilicmanA.OnSomeApplicationofanewIntegralTransform.InternationalJournalofMathematicsAnalysis.2010;
     Google Scholar
  11. (3):123-132.
     Google Scholar
  12. Kim H. The Time Shifting Theorem and The Convolution For Elzaki Transform. International Journal of Pure and Applied
     Google Scholar
  13. Mathematics (IJPAM).2013;87(2):261-271. http://www.ijpam.eu.
     Google Scholar
  14. Elzaki T.M. Adem Kilicman and Hassan Eltayeb “ On Existence and Uniqueness of Generalized Solutions for a Mixed-Type
     Google Scholar
  15. Differential Equation”. Journal of Mathematics Research. 2010;2(4):88-92.
     Google Scholar
  16. SunilS. IntroductionofLaplaceTransformandElzakiTransformwithApplication(ElectricalCircuits).IRJET.2018;5(2):675-681. [11] Chandramouli A.B. Integral Equation with Boundary Value Problems. Shiksha Sahitya Prakashan Meerut.
     Google Scholar
  17. Kreyszig E. Advanced engineering mathematics. John Willy and Sons. Inc., New York, 2012.
     Google Scholar