Application of Laplace Transform For Solving Population Growth and Decay Models.

This study is about the application of Laplace Transform for solving population growth and decay models. It is majorly concerned with the linearity property of the Laplace transform, How the Laplace transform is used in solving population growth and decay model, and How the Laplace transform is used...

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Main Author: Natukunda, Pamellah
Format: Thesis
Language:en_US
Published: Kabale University 2024
Subjects:
Online Access:http://hdl.handle.net/20.500.12493/1706
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author Natukunda, Pamellah
author_facet Natukunda, Pamellah
author_sort Natukunda, Pamellah
collection KAB-DR
description This study is about the application of Laplace Transform for solving population growth and decay models. It is majorly concerned with the linearity property of the Laplace transform, How the Laplace transform is used in solving population growth and decay model, and How the Laplace transform is used in solving population growth and decay models demonstrated. Laplace can be used to convert complex differential equations to a simpler form having polynomials, convert derivatives into multiple domain variables, and then convert the polynomials back to the differential equation using the Inverse Laplace transform, telecommunication field to send signals to both sides of the medium. For example, when the signals are sent through the phone they are first converted into a time-varying wave and then superimposed on the medium and for many engineering tasks such as Electrical Circuit Analysis, Digital Signal Processing, and System Modelling. The given application shows the effectiveness of the Laplace transform for solving population growth and decay problems. The proposed scheme can be applied for compound interest and heat conduction problems. I encourage mathematicians to use the Laplace transform model in solving differential equations and population models since it is perfect and easy to solve.
format Thesis
id oai:idr.kab.ac.ug:20.500.12493-1706
institution KAB-DR
language en_US
publishDate 2024
publisher Kabale University
record_format dspace
spelling oai:idr.kab.ac.ug:20.500.12493-17062024-08-01T00:02:18Z Application of Laplace Transform For Solving Population Growth and Decay Models. Natukunda, Pamellah Application Laplace Transform Solving Population Growth Decay Models This study is about the application of Laplace Transform for solving population growth and decay models. It is majorly concerned with the linearity property of the Laplace transform, How the Laplace transform is used in solving population growth and decay model, and How the Laplace transform is used in solving population growth and decay models demonstrated. Laplace can be used to convert complex differential equations to a simpler form having polynomials, convert derivatives into multiple domain variables, and then convert the polynomials back to the differential equation using the Inverse Laplace transform, telecommunication field to send signals to both sides of the medium. For example, when the signals are sent through the phone they are first converted into a time-varying wave and then superimposed on the medium and for many engineering tasks such as Electrical Circuit Analysis, Digital Signal Processing, and System Modelling. The given application shows the effectiveness of the Laplace transform for solving population growth and decay problems. The proposed scheme can be applied for compound interest and heat conduction problems. I encourage mathematicians to use the Laplace transform model in solving differential equations and population models since it is perfect and easy to solve. 2024-01-17T08:43:36Z 2024-01-17T08:43:36Z 2022 Thesis Natukunda, Pamellah (2022). Application of Laplace Transform For Solving Population Growth and Decay Models. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1706 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University
spellingShingle Application
Laplace Transform
Solving
Population Growth
Decay Models
Natukunda, Pamellah
Application of Laplace Transform For Solving Population Growth and Decay Models.
title Application of Laplace Transform For Solving Population Growth and Decay Models.
title_full Application of Laplace Transform For Solving Population Growth and Decay Models.
title_fullStr Application of Laplace Transform For Solving Population Growth and Decay Models.
title_full_unstemmed Application of Laplace Transform For Solving Population Growth and Decay Models.
title_short Application of Laplace Transform For Solving Population Growth and Decay Models.
title_sort application of laplace transform for solving population growth and decay models
topic Application
Laplace Transform
Solving
Population Growth
Decay Models
url http://hdl.handle.net/20.500.12493/1706
work_keys_str_mv AT natukundapamellah applicationoflaplacetransformforsolvingpopulationgrowthanddecaymodels