Solution of the First Order Chemical Chain Reaction via Sumudu Transform
Keywords:
Sumudu Transform, Chemical Reaction, Inverse Sumudu Transform, Differential Equations, Cramer’s RuleAbstract
This paper presents an efficient integral transform method names Sumudu transform for solving the problem of first-order chemical chain reactions. For this purpose, the authors first model the reaction kinetics using ordinary differential equations and then apply the Sumudu transform to streamline the mathematical analysis. Ultimately, this paper demonstrates that the Sumudu transform simplifies the entire process-delivering exact, closed-form solutions without the burden of complicated calculations.
How to cite this article:
Pandey J G, Aggarwal S, Solution of the First Order Chemical Chain Reaction via Sumudu Transform, J Adv Res Appl Math Stat, Vol 4, 2019 (Special Issue): Pg. No. 1-7
DOI: https://doi.org/10.24321/2455.7021.201912
References
Ahsan, Z., Differential equations and their applications, Third Edition, PHI Learning Private Limited, Delhi, 2016.
Watugula, G.K., Sumudu transform: A new integral transform to solve differential equations and control engineering problems, International Journal of Mathematical Education in Science and Technology, 24(1), 35-43, 1993.
Elzaki, T.M., The new integral transform “Elzaki Transform”, Global Journal of Pure and Applied Mathematics, 1, 57-64, 2011.
Aboodh, K.S., The new integral transform “Aboodh Transform”, Global Journal of Pure and Applied Mathematics, 9(1), 35-43, 2013.
Abdelilah, K. and Hassan, S., The new integral transform “Kamal Transform”, Advances in Theoretical and Applied Mathematics, 11(4), 451-458, 2016.
Mahgoub, M.A.M., The new integral transform “Mahgoub Transform”, Advances in Theoretical and Applied Mathematics, 11(4), 391-398, 2016.
Mohand, M. and Mahgoub, A., The new integral transform “Mohand Transform”, Advances in Theoretical and Applied Mathematics, 12(2), 113 – 120, 2017.
Sadikali, L.S., Introducing a new integral transform: Sadik transform, American International Journal of Research in Science, Technology, Engineering & Mathematics, 22(1), 100-102, 2018.
Aggarwal, S., Gupta, A.R., Singh, D.P., Asthana, N., and Kumar, N., Application of Laplace transform for solving population growth and decay problems, International Journal of Latest Technology in Engineering, Management & Applied Science, 7(9), 141-145, 2018.
Aggarwal, S., Gupta, A.R., Asthana, N. and Singh, D.P., Application of Kamal transform for solving population growth and decay problems, Global Journal of Engineering Science and Researches, 5(9), 254-260, 2018.
Aggarwal, S., Pandey, M., Asthana, N., Singh, D.P. and Kumar, A., Application of Mahgoub transform for solving population growth and decay problems, Journal of Computer and Mathematical Sciences, 9(10), 1490-1496, 2018.
Aggarwal, S., Sharma, N. and Chauhan, R., Solution of population growth and decay problems by using Mohand transform, International Journal of Research in Advent Technology, 6(11), 3277-3282, 2018.
Aggarwal, S., Asthana, N. and Singh, D.P., Solution of population growth and decay problems by using Aboodh transform method, International Journal of Research in Advent Technology, 6(10), 2706-2710, 2018.
Aggarwal, S., Singh, D.P., Asthana, N. and Gupta, A.R., Application of Elzaki transform for solving population growth and decay problems, Journal of Emerging Technologies and Innovative Research, 5(9), 281-284, 2018.
Aggarwal, S., Sharma, S.D. and Gupta, A.R., Application of Shehu transform for handling growth and decay problems, Global Journal of Engineering Science and Researches, 6(4), 190-198, 2019.
Debnath, L., and Bhatta, D., Integral transforms and their applications, Third Edition, CRC Press, Boca Raton, 2015.