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Mansour, Eman, Kuffi, Emad. (1403). The complex SEE transform technique in difference equations and differential difference equations. سامانه مدیریت نشریات علمی, 12(3), 624-637. doi: 10.22034/cmde.2024.60055.2561
Eman Ajel Mansour; Emad Abbas Kuffi. "The complex SEE transform technique in difference equations and differential difference equations". سامانه مدیریت نشریات علمی, 12, 3, 1403, 624-637. doi: 10.22034/cmde.2024.60055.2561
Mansour, Eman, Kuffi, Emad. (1403). 'The complex SEE transform technique in difference equations and differential difference equations', سامانه مدیریت نشریات علمی, 12(3), pp. 624-637. doi: 10.22034/cmde.2024.60055.2561
Mansour, Eman, Kuffi, Emad. The complex SEE transform technique in difference equations and differential difference equations. سامانه مدیریت نشریات علمی, 1403; 12(3): 624-637. doi: 10.22034/cmde.2024.60055.2561

The complex SEE transform technique in difference equations and differential difference equations

Computational Methods for Differential Equations
مقاله 15، دوره 12، شماره 3، مهر 2024، صفحه 624-637    اصل مقاله (471.86 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60055.2561
نویسندگان
Eman Ajel Mansour1؛ Emad Abbas Kuffi* 2
1Department of Electrical Technologies, Southern Technical University, Technical Institute Nasiriyah, Iraq. Iraq.
2Department of Mathematics, College of Basic Education Mustansiriyah University, Baghdad, Iraq.
چکیده
Differential equations are used to represent different scientific problems are handled efficiently by integral transformations, where integral transforms represent an easy and effective tool for solving many problems in the mentioned fields. This work utilizes the integral transform of the Complex SEE integral transformation to provide an efficient solution method for the difference and differential-difference equations by benefiting from the properties of this complex transform to solve some problems related to difference and differential-difference equations. The 3D, contour and 2D surfaces, as well as the related density plot surfaces of some acquired data, are used to draw the physical aspect of the obtained findings. The proposed approach offers an efficient and rapid solution for addressing the inherent complexity of differential-difference problems with initial conditions.
کلیدواژه‌ها
The complex SEE transform؛ Inverse of complex SEE transform؛ Differential equations؛ Difference equations؛ Differential-difference equations
مراجع
  • [1] E. S. Abbas, E. A. Kuffi, and A. A. Jawad, New integral ”Kuffi-Abbas-Jawad” KAJ transform and its application on ordinary differential equations, Journal of Interdisciplinary Mathematics, 25 (2022), 1427-1433.
  • [2] S. Ahmed, S. Jahan, K. J. Ansari, K. Shah, and T. Abdeljawad, Wavelets collocation method for singularly perturbed differential-difference equations arising in control system, Results in Applied Math., 21 (2024), 100415.
  • [3] H. Gegen and X. Hu, Three complex differential-difference equations, Partial Differential Equations in Applied Mathematics 5, (2022), 100300.
  • [4] E. G¨okmen and M. Sezer, Taylor collocation method for systems of high-order linear differential-difference equations with variable coefficients, Ain Shams Engineering Journal, 4 (2013), 117-125.
  • [5] Y. Gu, S. Malmir, J. Manafian, O. A. Ilhan, A. A. Alizadeh, and A. J. Othman, Variety interaction between k-lump and k-kink solutions for the (3+1)-D Burger system by bilinear analysis, Results Phys., 43 (2022), 106032.
  • [6] H. Khan, M. Alipour, R. A. Khan, H. Tajadodi, and A. Khan, On approximate solution of fractional order logistic equations by operational matrices of bernstein polynomials, J. Math. Comput. Sci., 14 (2015), 222-232.
  • [7] E. A. Kuffi and E. A. Mansour, On Hewit and Story Method for Construction Liapunov Function of Differential Algebraic Equations, Journal of College of Education, Al Mustansiriyah University, 2015.
  • [8] E. Kuffi and S. F. Maktoof, ”Emad-Falih Transform” a new integral transform, Journal of Interdisciplinary Mathematics, 24 (2021), 2381-2390.
  • [9] M. Lakestani, J. Manafian, A. R. Najafizadeh, and M. Partohaghighi, Some new soliton solutions for the nonlinear the fifth-order integrable equations, Comput. Meth. Diff. Equ., 10(2) (2022), 445-460.
  • [10] L. Li and W. Ge, A geometrical index for the group Sn and its applications in periodic solutions of differential and differential-difference equations, Journal of Mathematical Analysis and Applications, 530(1) (2024), 127665.
  • [11] A. Longtin and J. G. Milton, Complex oscillations in the human pupil light reflex with mixed and delayed feedback, Math Biosci, 90 (1988), pp. 183-199.
  • [12] M. C. Mackey and L. Glass, Oscillation and chaos in physiological control systems, Science, 197(4300) (1977), 287-289.
  • [13] J. Manafian and M. Lakestani, Abundant soliton solutions for the Kundu-Eckhaus equation via tan(φ(ξ))expansion method, Optik, 127(14) (2016), 5543-5551.
  • [14] J. Manafian and M. Lakestani, Optical soliton solutions for the Gerdjikov-Ivanov model via tan(φ/2)-expansion method, Optik, 127(20) (2016), 9603-9620.
  • [15] J. Manafian and M. Lakestani, Application of tan(φ/2)-expansion method for solving the Biswas-Milovic equation for Kerr law nonlinearity, Optik, 127(4) (2016), 2040-2054.
  • [16] J. Manafian and M. Lakestani, N-lump and interaction solutions of localized waves to the (2+ 1)- dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation, J. Geom. Phys., 150 (2020), 103598.
  • [17] J. Manafian, L. A. Dawood, and M. Lakestani, New solutions to a generalized fifth-order KdV like equation with prime number p = 3 via a generalized bilinear differential operator, Partial Differ. Equ. Appl. Math., 9 (2024), 100600.
  • [18] E. A. Mansour, S. Mehdi, and E. A. Kuffi, The new integral transform and its applications, International Journal of Nonlinear Analysis and Applications, 12 (2021) 849-856.
  • [19] E. A. Mansour, E. A.Kuffi, and S. A. Mehdi, The new integral transform ”SEE transform” and its applications, Periodicals of engineering and natural sciences, 9 (2021), 1016-1029.
  • [20] E. A. Mansour, E. A. Kuffi, and S. A. Mehdi, Solving Population Growth and Decay Problems Using Complex SEE Transform, 2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM), (2021), 243-246.
  • [21] E. A. Mansour, E. A. Kuffi, and S. A. Mehd, Complex SEE Transform of Bessel’s Functions, Journal of Physics: Conference Series, 1999(1) (2021), 012154, IOP Publishing.
  • [22] E. A. Mansour, S. A. Mehdi, and A. K. Emad, Application of New Transform ”Complex SEE Transform” to Partial Differential Equations, Journal of Physics: Conference Series, IOP Publishing, 1999(1) (2021), 012155.
  • [23] E. A. Mansour, S. Mehdi, and E. A. Kuffi, On the complex SEE change and systems of ordinary differential equations,International Journal of Nonlinear Analysis and Applications, 12 (2021) ,1477-1483.
  • [24] E. A. Mansour, E. A. Kuffi, and S. A. Mehdi, The Solution of Faltung Type Volterra Integro-Differential Equation of First Kind using Complex SEE Transform,Journal of College of Education Al Mustansiriyah University, 23 2022.
  • [25] E. A. Mansour and E. A. Kuffi, SEE Transform in Difference Equations and Differential-Difference Equations Compared With Neutrosophic Difference Equations, International Journal of Neutrosophic Science (IJNS), 22 (2023), 36-43.
  • [26] S. A. Mehdi, E. A. Kuffi, and J. A. Jasim, Solving ordinary differential equations using a new general complex integral transform, Journal of interdisciplinary mathematics, 25 (2022), 1919-1932.
  • [27] S. R. Moosavi, N, Taghizadeh, and J. Manafian, Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method, Comput. Meth. Diff. Equ., 8(3) 2020, 537-552.
  • [28] S. J. Park and M. Y. Choi, Counting statistics based on the analytic solutions of the differential-difference equation for birth-death processes, Chaos Solitons Fractals, 173 (2023), 113679.
  • [29] D. W. Pravica, N. Randriampiry, and M. J. Spurr, Solutions of a class of multiplicatively advanced differential equations, C.R. Acad. Sci. Paris Ser. I, 356 2018, 776-817.
  • [30] E. Yu. Romanenko, Differential-difference equations reducible to difference and q-difference equations, Comput. Math. Appl., 42(3-5) (2001), 615-626.
  • [31] Q. Zhao and M. A. Amin, Explicit solutions of rational integrable differential-difference equations,Partial Differential Equations in Applied Mathematics 5, 2022, 100338.
  • [32] M. Zhang, X. Xie, J. Manafian, O. A. Ilhan, and G. Singh, Characteristics of the new multiple rogue wave solutions to the fractional generalized CBS-BK equation, J. Adv. Res., 38 (2022), 131-142.
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