Solutions of Population Growth and Decay Problems Using Sumudu Transform

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International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume V, Issue IV, July 2020 | ISSN 2454-6194

Solutions of Population Growth and Decay Problems Using Sumudu Transform

Sudhanshu Aggarwal1*, Swarg Deep Sharma2 , Neeraj Kumar3 , Aakansha Vyas4
1Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
2Assistant Professor, Department of Mathematics, Nand Lal Singh College Jaitpur Daudpur Constituent of Jai Prakash
University Chhapra-841205, Bihar, India
3Professor, Department of Chemistry, JB Institute of Technology, Dehradun-248011, Uttrakhand, India
4Assistant Professor, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India

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Abstract: In recent years, many scholars have paid attention to determine the solution of advance problems of engineering and sciences by using integral transforms method. In this paper, authors determine the solutions of population growth and decay problems with the help of Sumudu transform. These problems have much importance in the field of economics, chemistry, biology, physics, social science and zoology. Authors have considered some numerical applications to demonstrate the effectiveness of Sumudu transform for determining the solutions of population growth and decay problems. Results of numerical applications show that Sumudu transform is a very useful integral transform for determining the solutions of population growth and decay problems.

Keywords: Sumudu transform, Inverse Sumudu transform, Population growth problem, Decay problem, Half-life.