ZZ Transform Method for Natural Growth and Decay Problems

R.Umamaheshwar Rao

Abstract


The new integral transform “ZZ Transform Method’’ was introduced by Zain Ul Abadin Zafar [1] in 2016. In this paper, I applied this new integral transform technique for solving first order linear differential equation, obtained in the problems based on a property either Law of Natural Growth or Law of Natural Decay.  ZZ Transform Method is similar to the other transforms such as Laplace and Sumudu Transforms.  The advantage of ZZ Transform Method is that it solves a differential equation with variable coefficients.

Keywords


ZZ Transform Method, Law of Natural growth and decay, Differential equations.

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References


Zain UlAbadin Zafar, “ZZ Transform Method”, International Journal of Advanced Engineering and Global Technoloy, Vol.4, Issue-1, pp.1605-1611, Jan. 2016.

Tarig.M.Elzaki, “The New Integral Transform “Elzaki Transform” Global Journal of Pure and Applied Mathematics, Vol.7, Number-1, pp.57-64, 2011.

Alan Jeffrey, “Advanced Engineering Mathematics”, Academic Press, 2002.

Hasen Eltayeh and Adem Kilicman, “On Some Application of a New Integral Transform”, International Journal of Math Analysis, Vol.4, No.3, pp.123-132, 2010.

J.Zhang and A Sumudu “Based Algorithm for Solving Differential Equations”, Comp.Sci.J. Moldova Vol.15, No.3, pp.303-313, 2007.

G Kwatugala, “Sumudu Transform-An Integral Transform to Solve Differential Equations Control Engineering Problems”, International J.Math.Ed.Sci.Tech, 24, pp.35-43, 1993.


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