Skip to main content
Log in

A New Integral Transform for Solving Higher Order Linear Ordinary Laguerre and Hermite Differential Equations

  • Original Paper
  • Published:
International Journal of Applied and Computational Mathematics Aims and scope Submit manuscript

Abstract

In this work a new integral transform is introduced and applied to solve higher order linear ordinary Laguerre and Hermite differential equations. We compare present transform with other method such as Frobenius Method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Alimorad, H.D., Hesameddini, E., FakharZadeh, A.J.: Using Elzaki transform solving the Klein–Gordon equation. TWMS J. Pure Appl. Math. 7(2), 177–184 (2016)

    MathSciNet  MATH  Google Scholar 

  2. Belgacem, F.B.M., Silambarasan, R.: Theory of natural transform. MESA 3(1), 105–135 (2012)

    MATH  Google Scholar 

  3. Cho, I., Hwajoon, K.: The solution of Bessel’s equation by using integral Transform. Appl. Math. Sci. 7(122), 6069–6075 (2014)

    MathSciNet  Google Scholar 

  4. Elzaki, T.M.: The new integral transform “Elzaki transform”. Global J. Pure Appl. Math. 7(1), 57–64 (2011)

    Google Scholar 

  5. Elzaki, T.M.: On the connections between Laplace and Elzaki transforms. Adv. Theor. Appl. Math. 6(1), 1–11 (2011)

    Google Scholar 

  6. Elzaki, T.M., Ezaki, S.M.: Solution of integro-differential equations by using ELzaki transform. Global J. Math. Sci. Theory Practical 3(1), 1–11 (2011)

    Google Scholar 

  7. Elzaki, T.M., Ezaki, S.M.: On the Elzaki transform and ordinary differential equation with variable coefficients. Adv. Theor. Appl. Math. 6(1), 13–18 (2011)

    Google Scholar 

  8. Hwajoon, K.: A note on the shifting theorems for the Elzaki transform. Int. J. Math. Anal. 8(10), 481–488 (2014)

    MathSciNet  Google Scholar 

  9. Iyanaga, S., Kawada, Y. (eds.): Encyclopedic Dictionary of Mathematics, p. 1481. MIT Press, Cambridge (1980)

    Google Scholar 

  10. Kılıçman, A., Eltayeb, H.: A note on integral transforms and partial differential equations. Appl. Math. Sci. 4(3), 109–118 (2010)

    MathSciNet  MATH  Google Scholar 

  11. Maleknejad, K., Hadizadeh, M.: A new computational method for Volterra-Fredholm integral equations. Comput. Math. Appl. 37(9), 1–8 (1999)

    Article  MathSciNet  Google Scholar 

  12. Rodrigues formula - Encyclopedia of Mathematics www.encyclopediaofmath.org. Retrieved 2018-04-18

  13. Shah, K., Junaid, M., Ali, N.: Extraction of Laplace, Sumudu, Fourier and Mellin transform from the Natural transform. J. Appl. Environ. Biol. Sci. 5(9), 1–10 (2015)

    Google Scholar 

  14. Weisstein, Eric W.: Hermite Differential Equation. From MathWorld–A Wolfram Web Resource. http://mathworld.wolfram.com/Hermite differential equation.html

  15. Zhang, J.: A Sumudu based algorithm for solving differential equations. Comput. Sci. J. Moldova 15(3), 45 (2007)

    MathSciNet  Google Scholar 

  16. Zwillinger, D.: Handbook of Differential Equations, 3rd edn, p. 120. Academic Press, Boston, MA (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seyed Ahmad Pourreza Ahmadi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ahmadi, S.A.P., Hosseinzadeh, H. & Cherati, A.Y. A New Integral Transform for Solving Higher Order Linear Ordinary Laguerre and Hermite Differential Equations. Int. J. Appl. Comput. Math 5, 142 (2019). https://doi.org/10.1007/s40819-019-0712-1

Download citation

  • Published:

  • DOI: https://doi.org/10.1007/s40819-019-0712-1

Keywords

Navigation