Applications of A Shehu Transform to the Heat and Transport Equations
DOI:
https://doi.org/10.61841/rx9sx647Keywords:
Transport Equations, Applications of A Shehu, UniquenessAbstract
The Shehu transform principle properties were shown by Maitama [13]. Atheros in 2019 used the Shehu transform to solve differential equations. In this paper, we introduce the Shehu transform, which is used in the solution of ordinary and partial differential equations. Moreover, we extended the Shehu transform application for solving transport and heat equations that satisfied known or unknown initial conditions.
Downloads
References
[1] A Atangana and A Kilicman, A novel integral operator transform and its application to some FODE and
FPDE with some kind of singularities, Mathematical Problems in Engineering, Special Issue, 2013.
[2] A Atangana and B Alkaltani, A novel double integral transform and its applications, Jour-nal of Nonlinear
Science and Applications, Vol. Vol.9(2), 2016.
[3] A. H. Mohammed and A. N. Kathem, Solving Euler’s Equation by Using New Transformation, Journal of Kerbala University, Vol. 6(4), 2008.
[4] A N Albukhuttar and I H Jaber, Elzaki transformation of Linear Equation without Subject to any initial
conditions, Journal of Advanced Research in Dynamical and Control Systems, Vol. 11(2), 2019.
[5] A N Kathem, On Solutions of Differential Equations by using Laplace Transformation, The Islamic
College University Journal, Vol. Vol.7(1), 2008.
[6] B Goodwine, Engineering Differential Equations: Theory and Applications, Springer, New York, USA,
2010.
[7] F Belgacem and el at, New and extended applications of the natural and Sumudu transforms: Fractional
diffusion and Stokes fluid flow realms, Advances Real and Complex Analysis with Applications, Springer,
Singapore, 2017.
[8] H Eltayeb, A note on double Laplace decomposition method and nonlinear partial differential equations,
New Trends in Mathematical Sciences, Vol. Vol.5(4), 2017.
[9] H. M. Srivastava, M. Luo, and R. K. Raina, A new integral transform and its applications, Acta Mathematica Scientia, Vol. 35(6), 2015.
[10] L. Boyadjiev and Y. Luchko, Mellin Integral Transform Approach to Analyze the Multi-dimensional Diffusion-Wave Equations, Chaos Solutions and Fractals, Vol. 102(1), 2017.
[11] S. Aggarwal, A. Gupta, and S. Sharma, A New Application of Shehu Transformation for Handling Volterra Integral Equations of the First Kind, International Journal of Research in Advent Technology, Vol. 7(4), 2019.
[12] S. Aggarwal, S. D. Sharma, and A. R. Gupta, Application of Shehu Transformation Handling Growth and Decay Problems, Global Journal of Engineering Science and Researches, Vol. 6(4), 2019.
[13] S. Maitama and W. Zhao, New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations, International Journal of Analysis and Applications, Vol. 17(2), 2019.
[14] S. Maitama and W. Zhao, New Laplace-type integral transform for solving steady heat transfer problems, Thermal Science, Vol. 2(4), 2019.
[15] X. J. Yang, A new integral transform method for solving steady heat-transfer problems, Thermal Science, Vol. 20 (2), 2016.
Downloads
Published
Issue
Section
License
Copyright (c) 2020 AUTHOR

This work is licensed under a Creative Commons Attribution 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.