Solution of Population Growth Rate Linear Differential Model via Two Parametric SEE Transformation

Authors

Ali Moazzam University of Agriculture Faisalabad, Pakistan.
Hira Aslam University of Agriculture, Faisalabad, Pakistan.
Naila Tabassum University of Agriculture Faisalabad, Pakistan.
Emad A. Kuffi College of Engineering, Al-Qadisiyah University, Iraq.

DOI:

https://doi.org/10.30526/36.2.3251

Keywords:

Two parametric SEE transformation, Population Growth Rate Equation, Linear differential equations, Time derivative rule, Two parametric SEE transformation, Population growth rate equation, linear differential equations, time derivative rule.

Abstract

The integral transformations is a complicated function from a function space into a simple function in transformed space. Where the function being characterized easily and manipulated through integration in transformed function space. The two parametric form of SEE transformation and its basic characteristics have been demonstrated in this study. The transformed function of a few fundamental functions along with its time derivative rule is shown. It has been demonstrated how two parametric SEE transformations can be used to solve linear differential equations. This research provides a solution to population growth rate equation. One can contrast these outcomes with different Laplace type transformations

References

Evans D.J.; Raslan K.R. The Adomian Decomposition Methhod for Solving Delay Differential Equation. International Journal of Computer Mathematics, 2005, 82(1), 49-54.

Shah, K.; Khalil, H.; Khan, RA. A Generalized Scheme Based on Shifted Jacobi Polynomials for Numerical Simulation of Coupled Systems of Multi-term Fractional-order Partial Differential Equations. LMS Journal of Computation and Mathematics, 2017, 20(1), 11-29.

Abassy, T.A.; El-Tawil, M.A.; El-Zoheiry, H. Exact Solutions of Some Nonlinear Partial Differential Equations Using the Variational Iteration Method Linked with Laplace Transforms and the Padé Technique. Computers and Mathematics with Applications. 2007, 54(7-8), 940-54.

Yindoula, J.B.; Youssouf, P.; Bissanga, G.; Bassono, F. Some B. Application of the Adomian Decomposition Method and Laplace Transform Method to Solving the Convection Diffusion-Dissipation Equation. International Journal of Applied Mathematics Research. 2014, 3(1), 30-35.

Hamoud, A.A.; Ghadle, K.P. The Combined Modified Laplace with Adomian Decomposition Method for Solving the Nonlinear Volterra-Fredholm Integro Differential Equations. Journal of the Korean Society for Industrial and Applied Mathematics, 2017, 21(1), 17-28.

Aggarwal, S.; Gupta, A.R.; Kumar, Mohand, D. Transform of Error Function. International Journal of Research in Advent Technology, 2019, 7(5), 224-231.

Aggarwal, S.; Sharma, S.D. Sumudu Transform of Error Function. Journal of Applied Science and Computations. 2019, 6(6), 1222-1231.

Aggarwal, S.; Bhatnagar, K.; Dua, A. Dualities Between Elzaki Transform and Some Useful Integral Transforms. International Journal of Innovative Technology and Exploring Engineering, 2019, 8(12), 4312-4318.

Aggarwal, S.; Gupta, A.R.; Sharma, S.D.; Chauhan, R.; Sharma, N. Mahgoub Transform (Laplace-Carson Transform) of Error Function. International Journal of Latest Technology in Engineering, Management & Applied Science, 2019, 8(4), 92-98.

Aggarwal, S.; Sharma, S.D. Application of Kamal Transform for Solving Abel’s Integral Equation. Global Journal of Engineering Science and Researches, 2019, 6(3), 82-90.

Aggarwal, S.; Singh, G.P. Kamal Transform of Error Function. Journal of Applied Science and Computations, 2019, 6(5), 2223-2235.

Fariha, M.; Muhammad, Z.I.; Moazzam, A.; Usman, A.; Muhammad, U.N. Subtituition Method Using the Laplace Transformation for Solving Partial Differential Equations Involving More than Two Independent Variables. Bulletin of Mathematics and Statistics Research. 2021, 9(3), 104-116.

Muhammad, I.K.; Khurrem, S.; Muhammad, M.U.R.; Maria; Moazzam, A. Influence of Bioconvection and Activation Energy on Maxwell Flow of Nano-fluid in the Existence of Motile Microorganisms Over a Cylinder. International Journal of Multidisciplinary Research and Growth Evaluation. 2021, 2(5), 135-144.

Ammara, A.; Madiha, G.; Amina, A.; Moazzam, A. Laplace Transforms Techniques on Equation of Advection-Diffussion in One-Dimensional with Semi-Infinite Medium to Find the Analytical Solution. Bulletin of Mathematics and Statistics Research. 2021, 9(3), 86-96.

Muhammad, K.; Khurrem, S.; Moazzam, A.; Ammara, A.; Mariyam, B. New Transformation ‘AMK-Transformation’ to Solve Ordinary Linear Differential Equation of Moment Pareto Distribution. International Journal of Multidisciplinary Research and Growth Evaluation. 2021, 2(5), 125-134.

Moazzam, A.; Kashif, M.; Amjed, U.; Khawar, M.I. Development of A new transformation to Solve a New Type of Ordinary Linear Differential Equation. Bulletin of Mathematics and Statistics Research (Bomsr). 2021, 9(3), 56-60.

Muhammad, W.; Khurrem, S.; Moazzam, A.; Alizay, B. Applications of Kamal Transformation in Temperature Problems. Scholar Journal Engineering and Technology. 2022, 10(2), 5-8.

Eman, A.; Mansour; Emad, A. K.; Sadiq, A.; Mehdi. On the SEE Transform and System of Ordinary Differential Equations. Periodicals of engineering and natural sciences, 2021, 9(3), 277-281.

Moazzam, A.; Muhammad, Z.I. ;Al-Zughair Transformations on Linear Differential Equations of Moment Pareto Distribution. Proc. 19th International Conference on Statistical Science, 2022, 36, 199-206.

Moazzam, A.; Muhammad, Z.l. A new Integral Transform "Ali And Zafar" Transformation and It's Application in Nuclear Physics. Proc. 19th International Conference on Statistical Sciences, 2022, 36, 177-182.

Aggarwal, S.; Gupta, A.R.; Singh, D.P.; Asthana, N.; Kumar, N. Application of Laplace Transform for Solving Population Growth and Decay Problems. International Journal of Latest Technology in Engineering, Management & Applied Science. 2018, 7(9), 141-145.