Novel Transform for Mathematical Systems of Second Order Whether Under or Not Initial Conditions

Authors

  • Janaan A ALshamkhawii Department of Mathematics, College of Education for Girls, University of Kufa, Najaf , Iraq
  • Hayder N Kadhim Department of Banking & Financial, Faculty of Administration and Economics, University of Kufa, Najaf, Iraq
  • Athraa N Albukhuttar Department of Mathematics, College of Education for Girls, University of Kufa, Najaf-Iraq

DOI:

https://doi.org/10.29304/jqcm.2023.15.2.1256

Keywords:

System of linear differential equations, Novel (Aboodh)transform, Initial conditions.

Abstract

In this work, the formulas of set solution for linear mathematical systems of the second order are derived whether subject to or not subject to initial conditions. In addition to a set of supporting examples  have been resolved.

Downloads

Download data is not yet available.

References

1] A H Mohammed and AN Kathem,"Solving Euler ,s Equation by Using New Transformation",
Journal of Kerbala University, Vol. 6, 2008.
[2] A N Albukhuttar, J A ALshamkhawii, H N Kadhim, ''Systems of differential equations and preparing a budget an organization depending on the activities '',in progress,2023.
[3] A.N.Albukhuttar and I. H. Jaber, "Alzaki transformation of a linear equationwithout subjeany initial conditions", Journal of Advanced Research in Dynamical and Control Systems,Vol. 11 , 2019.
[4] B Ghil,HKim,'' the solution of Euler-Cauchy equation by using Laplacetransform'',International
Journal of Mathematical Analysis Vol.9, 2015.
[5] Emad Kuffi A, Sadiq A. Mehdi, and Eman A. Mansour. "Color image encryption based new integral transform SEE." Journal of Physics: Conference Series. Vol. 2322. No. 1. IOP Publishing, 2022.
[6] F . Abdulmohdi, H. N. Kadhim and A. N .ALbukhuttar , ''Shehu transform for Activity Costing System'', Elixir International Journal, Vol.144, 2020.
[7] L. Debnath and D.Bhatta ''Integral Transforms and Their Applications'', Second Edition,
Chapman and Hall,London, 2007.
[8] M. Duz,"On an application of Laplace transforms, " New Trends in Mathematical sciences .
Vol.5,2017.
[9] R. N. Bracewell, "The Fourier transform and its applications", McGraw-Hill, Boston, Mass, USA, 3rd edition, 2000.
[10] X.J. Yang, "A new integral transform method for solving steady heat-transfer problem", Thermal Science, vol. 20, 2016.

Downloads

Published

2023-09-25

How to Cite

ALshamkhawii, J. A., Kadhim, H. N., & Albukhuttar, A. N. (2023). Novel Transform for Mathematical Systems of Second Order Whether Under or Not Initial Conditions. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(2), Math Page 142–151. https://doi.org/10.29304/jqcm.2023.15.2.1256

Issue

Section

Math Articles