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A Review on the Integral Transforms [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2023
Many integral transformations have been proposed, tasted and proven to solve many applications in various scientific fields. The diversity of integral transformations comes from their unique ability to solve problems by transforming them from one domain ...
Jinan Jasim, Emad kuffi, Sadiq Mehdi
doaj   +1 more source

On differential equations invariant under two-variable M\"obius transformations [PDF]

Open Communications in Nonlinear Mathematical Physics, 2022
We compute invariants for the two-variable M\"obius transformation. In particular we are interested in partial differential equations in two dependent and two independent variables that are kept invariant under this transformation.
M. Euler, N. Euler, MC Nucci
doaj   +1 more source

Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem

Frontiers in Physics, 2023
The Lie symmetry method is applied, and exact homotopic solutions of a non-linear double-diffusion problem are obtained. Additionally, we derived Lie point symmetries and corresponding transformations for equations representing heat and mass transfer in ...
R. A. Khan, S. Taj, S. Ahmed, S. Ahmed, Ilyas Khan, Sayed M. Eldin   +5 more
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Thermophysical aspects of magnetized Williamson fluid flow subject to both porous and non-porous surfaces: A Lie symmetry analysis

Case Studies in Thermal Engineering, 2021
The present outcomes on thermally magnetized flow fields by way of symmetry analysis will assist the research community to examine fluid dynamics, particular structures of fluids, and their interaction with the homogeneous porous mediums. The new scaling
Khalil Ur Rehman, Wasfi Shatanawi, Kamaleldin Abodayeh   +2 more
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Numerical approximations for fluid flow and heat transfer in the boundary layer with radiation through multiple Lie similarity transformations

Frontiers in Physics, 2023
The dependent or independent variables of differential equations may be reduced by applying its associated Lie point symmetries. Seven-dimensional Lie point symmetry algebra exists for differential equations representing heat transfer in a boundary layer
Muhammad Bilal, Muhammad Safdar, Shoaib Ahmed, Shoaib Ahmed, Karam Dad Kallu, Muhammad Umair Ali, Amad Zafar, Kwang Su Kim, Kwang Su Kim, Jong Hyuk Byun, Jong Hyuk Byun   +10 more
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Reduce-Order Modeling and Higher Order Numerical Solutions for Unsteady Flow and Heat Transfer in Boundary Layer with Internal Heating

Mathematics, 2022
We obtain similarity transformations to reduce a system of partial differential equations representing the unsteady fluid flow and heat transfer in a boundary layer with heat generation/absorption using Lie symmetry algebra.
Muhammad Bilal, Muhammad Safdar, Safia Taj, Amad Zafar, Muhammad Umair Ali, Seung Won Lee   +5 more
doaj   +1 more source

Two parametric SEE transformation and its applications in solving differential equations

Al-Qadisiyah Journal for Engineering Science, 2023
Transformation plays a much more important role in every science. In this research article, two parametric forms of SEE transformation have been explored and the fundamental properties of two parametric SEE transformations have been shown.
Ali Moazzam a, Emad A. Kuffi b, Zain Ul Abideen c, Ayza Anjum c   +3 more
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Differential subordinations for fractional-linear transformations

International Journal of Mathematics and Mathematical Sciences, 2000
We establish that the differential subordinations of the forms p(z)+γzp′(z)≺h(A1,B1;z) or p(z)+γzp′(z)/p(z)≺h(A2,B2;z) implies p(z)≺h(A,B;z), where γ≥0 and h(A,B;z)=(1+Az)/(1+Bz) with −1 ...
Yong Chan Kim, Adam Lecko, Jae Ho Choi, Megumi Saigo   +3 more
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On the Double of the Emad - Falih Transformation and Its Properties with Applications

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2022
In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform.
Saed M. Turq, Emad A. Kuffi
doaj   +1 more source

Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]

Opuscula Mathematica
We construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
doaj   +1 more source