Solution of the Model of the Bacteria Growth via Rishi Transform
Abstract
Integral transforms play the plausible role to solve the problems of Engineering, Chemistry, Physics, National Defence, Geology, Biology and Social Sciences. In this paper, authors used Rishi transform and solved the bacteria growth model using this. Authors demonstrate two numerical examples to show the fruitfulness of the Rishi transform. The results show that Rishi transform is very efficient integral transform and provides the solution of the model of the bacteria growth without tedious computational work.
How to cite this article: Priyanka, Aggarwal S. Solution of the Model of the Bacteria Growth via Rishi Transform. J Adv Res Appl Math Stat 2022; 7(1&2): 5-11.
DOI: https://doi.org/10.24321/2455.7021.202202
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Journal of Engineering Science and Researches 2019; 6(2): 113-123.
21. Aggarwal S, Mishra R, Kumar A. A comparative study of Mohand and Elzaki transforms. Global Journal of
Engineering Science and Researches 2019; 6(2): 203-213.
22. Aggarwal S, Chauhan R. A comparative study of Mohand and Aboodh transforms. International Journal of
Research in Advent Technology 2019; 7(1): 520-529.
23. Aggarwal S, Sharma SD. A comparative study of Mohand and Sumudu transforms. Journal of Emerging
Technologies and Innovative Research 2019; 6(3): 145-153.
24. Aggarwal S. A comparative study of Mohand and Mahgoub transforms. Journal of Advanced Research in
Applied Mathematics and Statistics 2019; 4(1): 1-7.
25. Aggarwal S, Sharma N, Chauhan R. Duality relations of Kamal transform with Laplace, Laplace-Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms, SN Applied Sciences. 2020; 2(1): 135. https://doi.org/
10.1007/s42452-019-1896-z
26. Aggarwal S, Gupta AR. Dualities between Mohand transform and some useful integral transforms.
International Journal of Recent Technology and Engineering 2019; 8(3): 843-847.
27. Aggarwal S, Gupta AR. Dualities between some useful integral transforms and Sawi transform. International
Journal of Recent Technology and Engineering 2019; 8(3): 5978-5982.
28. 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.
29. Chauhan R, Kumar N, Aggarwal S. Dualities between Laplace-Carson transform and some useful integral
transforms. International Journal of Innovative Technology and Exploring Engineering 2019; 8(12): 1654-1659.
30. Aggarwal S, Bhatnagar K. Dualities between Laplace transform and some useful integral transforms.
International Journal of Engineering and Advanced Technology 2019; 9(1): 936-941.
31. Chaudhary R, Sharma SD, Kumar N et al. Connections between Aboodh transform and some useful integral
transforms. International Journal of Innovative Technology and Exploring Engineering 2019; 9(1): 1465-1470.
32. Kumar R, Chandel J, Aggarwal S. A new integral transform “Rishi Transform” with application. Journal of
Scientific Research 2022; 14(2): 521-532.
2. Kumar A, Bansal S, Aggarwal S. A new novel integral transform “Anuj transform” with application. Design
Engineering 2021; (9): 12741-12751.
3. Aggarwal S, Gupta AR, Singh DP et al. 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.
4. Aggarwal S, Gupta AR, Asthana N et al. Application of Kamal transform for solving population growth and
decay problems. Global Journal of Engineering Science and Researches 2018; 5(9): 254-260.
5. Aggarwal S, Pandey M, Asthana N et al. Application of Mahgoub transform for solving population growth and
decay problems. Journal of Computer and Mathematical Sciences 2018; 9(10): 1490-1496.
6. Aggarwal S, Sharma N, Chauhan R. Solution of population growth and decay problems by using Mohand
transform. International Journal of Research in Advent Technology 2018; 6(11): 3277-3282.
7. Aggarwal S, Asthana N, Singh DP. Solution of population growth and decay problems by using Aboodh transform method. International Journal of Research in Advent Technology 2018; 6(10): 2706-2710.
8. Aggarwal S, Singh DP, Asthana N. Application of Elzaki transform for solving population growth and decay
problems. Journal of Emerging Technologies and Innovative Research 2018; 5(9): 281-284.
9. Aggarwal S, Sharma SD, Gupta AR. Application of Shehu transform for handling growth and decay problems.
Global Journal of Engineering Science and Researches 2019; 6(4): 190-198.
10. Aggarwal S, Bhatnagar K. Sadik transform for handling population growth and decay problems. Journal of
Applied Science and Computations 2019; 6(6): 1212-1221.
11. Singh GP, Aggarwal S. Sawi transform for population growth and decay problems. International Journal of
Latest Technology in Engineering, Management & Applied Science 2019; 8(8): 157-162.
12. Aggarwal S, Sharma SD, Kumar N et al. Solutions of population growth and decay problems using Sumudu
transform. International Journal of Research and Innovation in Applied Science 2020; 5(7): 21-26.
13. Aggarwal S, Sharma N, Chauhan R et al. A new application of Mahgoub transform for solving linear ordinary
differential equations with variable coefficients. Journal of Computer and Mathematical Sciences 2018; 9(6):
520-525.
14. Watugula GK. Sumudu transform: A new integral transform to solve differential equations and control
engineering problems. International Journal of Mathematical Education in Science and Technology 1993; 24(1):
35-43.
15. Maitama S, Zhao W. New integral transform: Shehu transform a generalization of Sumudu and Laplace
transform for solving differential equations. International Journal of Analysis and Applications 2019; 17(2): 167-
190.
16. El-Mesady AI, Hamed YS, Alsharif AM. Jafari transform for solving a system of ordinary differential equations
with medical application, Fractal and Fractional, 2021; 5: 130. https://doi.org/10.3390/fractalfract5030130
17. Devi A, Roy P, Gill V. Solution of ordinary differential equations with variable coefficients using Elzaki
transform. Asian Journal of Applied Science and Technology 2017; 1(9): 186-194.
18. Aggarwal S, Sharma N, Chauhan R. Application of Runge-Kutta fourth order (RK-4) method to solve logistic
differential equations. Periodic Research 2018; 6(3): 108-113.
19. Aggarwal S, Chaudhary R. A comparative study of Mohand and Laplace transforms. Journal of Emerging
Technologies and Innovative Research 2019; 6(2): 230-240.
20. Aggarwal S, Sharma N, Chaudhary R et al. A comparative study of Mohand and Kamal transforms. Global
Journal of Engineering Science and Researches 2019; 6(2): 113-123.
21. Aggarwal S, Mishra R, Kumar A. A comparative study of Mohand and Elzaki transforms. Global Journal of
Engineering Science and Researches 2019; 6(2): 203-213.
22. Aggarwal S, Chauhan R. A comparative study of Mohand and Aboodh transforms. International Journal of
Research in Advent Technology 2019; 7(1): 520-529.
23. Aggarwal S, Sharma SD. A comparative study of Mohand and Sumudu transforms. Journal of Emerging
Technologies and Innovative Research 2019; 6(3): 145-153.
24. Aggarwal S. A comparative study of Mohand and Mahgoub transforms. Journal of Advanced Research in
Applied Mathematics and Statistics 2019; 4(1): 1-7.
25. Aggarwal S, Sharma N, Chauhan R. Duality relations of Kamal transform with Laplace, Laplace-Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms, SN Applied Sciences. 2020; 2(1): 135. https://doi.org/
10.1007/s42452-019-1896-z
26. Aggarwal S, Gupta AR. Dualities between Mohand transform and some useful integral transforms.
International Journal of Recent Technology and Engineering 2019; 8(3): 843-847.
27. Aggarwal S, Gupta AR. Dualities between some useful integral transforms and Sawi transform. International
Journal of Recent Technology and Engineering 2019; 8(3): 5978-5982.
28. 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.
29. Chauhan R, Kumar N, Aggarwal S. Dualities between Laplace-Carson transform and some useful integral
transforms. International Journal of Innovative Technology and Exploring Engineering 2019; 8(12): 1654-1659.
30. Aggarwal S, Bhatnagar K. Dualities between Laplace transform and some useful integral transforms.
International Journal of Engineering and Advanced Technology 2019; 9(1): 936-941.
31. Chaudhary R, Sharma SD, Kumar N et al. Connections between Aboodh transform and some useful integral
transforms. International Journal of Innovative Technology and Exploring Engineering 2019; 9(1): 1465-1470.
32. Kumar R, Chandel J, Aggarwal S. A new integral transform “Rishi Transform” with application. Journal of
Scientific Research 2022; 14(2): 521-532.
Published
2022-08-31
How to Cite
., Priyanka; AGGARWAL, Sudhanshu.
Solution of the Model of the Bacteria Growth via Rishi Transform.
Journal of Advanced Research in Applied Mathematics and Statistics, [S.l.], v. 7, n. 1&2, p. 5-11, aug. 2022.
ISSN 2455-7021.
Available at: <http://thejournalshouse.com/index.php/Journal-Maths-Stats/article/view/593>. Date accessed: 22 dec. 2024.
Section
Research Article
