SOME PHYSICS APPLICATIONS OF THE NEW INTEGRATION

Authors

  • A.O. Asmaa Omar Mubayrash, Surman City, Libya
  • Z.A. Zaineb Mubayrash, Surman City, Libya

DOI:

https://doi.org/10.70672/wxkxfd25

Keywords:

Physics, application, integration, differential equations

Abstract

In this work, we apply a new integral transform the Abaoub-Shkheam Transform in solving first and second-order ordinary differential equations with constant coefficients and equations are concerned with a damping mechanical force system and an inductive capacitive electrical circuit in mechanics and electrical circuit problems with initial conditions. Also, we will discuss the applications of the Abaoub-Shkheam Transform in solving the differential equations related to successive radioactive decay of the parent nucleus which is an important subject in nuclear physics. Also included are the formulae for computing the daughter and granddaughter nuclei, as well as instructions for the function of the mechanical system's transfer. 

References

Abaoub, and A. Shkheam, (2020). The New Integral Transform ''Abaoub-Shkheam transform", Iaetsd journal for advanced research in applied sciences, VII. Issue (VI), June, 2394-8442.

Abaoub, and A. Shkheam, 2020. Utilization Abaoub-Shkheam transform in solving linear integral equation of Volterra, International Journal of Software & Hardware Research in Engineering (IJSHRE) ISSN-2347-4890 Volume 8 Issue 12 December.

Amna E. Elhag, 2Khalda T. Osman .2021, Applications of Laplace Transform in Successive Radioactive Decay of Nucleus, International Journal of Novel Research in Physics Chemistry & Mathematics Vol. 8, Issue 3, pp: (1-3), Month: September - December.

Asmaa O. Mubayrash, Huda M. Khalat. (2022), New method for cryptography using abaoub- shkheam transform The Libyan Journal of Science- University of Tripoli Vol. 25, No. 02 ,35-39 .

Asmaa Omar Mubayrash. 2022, Solving the partial Differential Equations Using the Modified Abaoub-Shkheam Adomian Decomposition Method, ALQIRTAS JURNA, no.21, pp: 70-83.

Asmaa Omar Mubayrash, Suad Mawloud Zali, zaineb alkawash. 2021, The Use of Abaoub- Shkheam Transform for Solving Partial Differential Equations, ALQIRTAS JURNA, no.20, pp: 67-74.

English, A.C., Cranshaw, T.E., Demers, P., Harvey, J.A., Hincks, E.P., Jelley, J.V. and May, A.N., 1947. The (4 n+ 1) Radioactive Series. Physical Review, 72(3), p.253.

Huda M. Khalat. Asmaa O. Mubayrash, (2024), A New Cryptographic Scheme Using Integral Transform and Matrix Decomposition transform The Libyan Journal of Science- University of Tripoli Vol. 27, No. 02,55-63 .

Kokane, A.S. and Wadkar, B.R., 2021, May. Applications of Laplace Transform in science and technology. In Journal of Physics: Conference Series (Vol. 1913, No. 1, p. 012127). IOP Publishing.

L S Sawant May .2018, Applications of Laplace Transform in Engineering Fields International Research Journal of Engineering and Technology (IRJET) Volume 05 Issue: 05.

P. Senthil Kumar and A. Viswanathan, 2018. “Applications of Mahgoub Transform to Mechanics, Electrical Circuit problems”, Inter.Journal of Science and Research, Vol.7, No.7, pp: 195 – 197.

Sawant, L.S., 2018. Applications of Laplace transform in engineering fields. Int. Res. J. Eng. Technol. (IRJET), 5(05).

Tarig M. Elzaki, Salih M. Elzaki, and Elsayed A. Elnour, 2012. “Applications of New Transform Elzaki Transform to Mechanics, Electrical Circuits and Beams problems”, Global Journal of Mathematical Sciences: Theory and Practical, Vol.4, No.1, pp. 25 – 34.

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Published

01-12-2024

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Section

Articles

How to Cite

A.O. Asmaa Omar, & Z.A. Zaineb. (2024). SOME PHYSICS APPLICATIONS OF THE NEW INTEGRATION. Malaysian Journal of Industrial Technology , 8(4), 45-54. https://doi.org/10.70672/wxkxfd25