Application of Laplace Transform for Solving the Problems of Chemical Kinetics
Keywords:
Laplace Transform, Chemical Kinetics, Zero Order Reaction, First Order Reaction.Abstract
In this paper, the authors evaluate the utility of the Laplace transform in determining solutions for foundational chemical kinetics equations. Specifically, the study addresses the challenges of calculating concentration profiles for both zero-and first-order reactions. The results demonstrate that the Laplace transform serves as an exceptionally efficient integral transform, delivering exact and closed-form solutions by completely bypassing tedious mathematical derivations.
How to cite this article:
Pandey J G, Aggarwal S, Application of Laplace Transform for Solving the Problems of Chemical Kinetics, J Adv Res Appl Math Stat, Vol 5, Issue 1&2 2020: Pg. No. 27-32.
DOI: https://doi.org/10.24321/2455.7021.202003
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.
Debnath, L., and Bhatta, D., Integral transforms and their applications, Third Edition, CRC Press, Boca Raton, 2015.
