New Applications of “Abeer-AL-Tememe” Transformation in partial differential equations

Authors

  • Abeer F. Abaas Mathematics Dep., Education College for women /Kufa University Iraq-Najaf
  • Ali H. Mohammed Mathematics Dep., Education College for women /Kufa University Iraq-Najaf

DOI:

https://doi.org/10.29304/jqcsm.2024.16.31692

Keywords:

Abeer-Al-Tememe Transform, Partial differential equations

Abstract

The Introduction of integral transforms as a partial differential equation solution technique results from the tremendous significance of differential equations and integral transforms in scientific domains. This study proposes a new integral transform Abeer Al- Tememe transform. The suggested transform applications has demonstrated its capacity to resolve partial differential equations.

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References

A.H. Mohammed, B.S. Mohammed Ali " On Studying of Al-Tememe

Transformation for Partial Differential Equations" A thesis of MSc. Submitted to the council of University of Kufa, Faculty of Education for girls, 2017.

Abdel-Hassan, I.H., Differential transformation technique for solving higher-order initial value problem, Applied Mathematics and Computation., Vol.154, No. 2, 2004, pp.299-311.

Adem Kilicman, Hassan eltayeb Gadain, A note on integral transforms and partial differential equations, Malaysian Journal of Mathematical Sciences; Vol. 4, No. 1, 2010, pp. 109-118.

Ali H. Mohammed, Zahir M. Hussain, Hassan N. Rasoul,"Using AlTememe Transform to Solve Linear Partial Differential Equations with Applications" University of Kufa, Faculty of computer sciences and mathematics, (2016).

B.S. Grewal, "Higher Engineering Mathematics". 42nd ed. Khanna Publishers. 1998.

Emad Kuffil, Elaf Sabah Abbas, Sarah Faleh Maktoof, Solving The Beam Deflection Problem Using Al-Tememe Transforms, Journal of Mechanics of Continua and Mathematical Sciences, Vol. 14. No. 4, 2019, pp. 519-527.

Erwin Kreyszig, "Advanced Engineering Mathematics". 9th ed. WILEY.2014.

Jaabar, Sahar Muhsen, and Ahmed Hadi Hussain. "Solving linear system of third order of PDEs by using Al-Zughair transform." Journai of Discrete Mathematical Sciences and Cryptography Vol.24, No. 6, 2021, pp.1683-1688.

K. S. Aboodh, R.A. Farah, I.A. Almardy and F.A. Almostafa, Solution of Telegraph Equation by Using Double Aboodh Transform, Elixir Appl. Math. 110 (2017), pp. 48213-48217.

Lokenath Debnath and D. Bhatta, Integral transform and their Applications, 2nd edition, Chapman and Hall/CRC. 2006.

Mohammed, Ali Hassan, Alaa Saleh Hadi, and Hassan Nadem Rasoul. "Integration of the Al Tememe Transformation To find the Inverse of Transformation And Solving Some LODEs With mathematics Vol.9, No. 2, 2017, pp.88-93.

Santanu Saha Ray, Om P. Agrawal, R. K. Bera, Shantanu Das, T. Raja Sekhar, Analytical and ation that Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in et partial Physical Models, Hindawi Publishing Corporation: Abstract and Applied Analysis, Volume 2014, pp. 1-3.

Shams A. Ahmed, Tarig M. Elzaki, Mohamed Elbadri, Mohamed Z. Mohamed, Solution of partial differential equations by new double integral transform (Laplace - Sumudu transform), Ain Shams Engineering Journal, 2021.

Thomas Hillen, I. E. Leonard, Henry van Roessel, Partial Differential Equations: Theory and Completely Solved Problems, 1st ed. Wiley. 2012.

Transformation for Partial Differential Equations" A thesis of MSc. Submitted to the council of University of Kufa, Faculty of Education for girls, 2017.

Wei-Chau Xie, Differential Equations for Engineers, Cambridge university press. 2010.

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Published

2024-09-30

How to Cite

F. Abaas, A., & H. Mohammed , A. (2024). New Applications of “Abeer-AL-Tememe” Transformation in partial differential equations. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(3), Math. 107–115. https://doi.org/10.29304/jqcsm.2024.16.31692

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Math Articles