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Sumudu transform method and its applications
(UMT Lahore, 2023) Maha Ahmed; Amina Arshad
Ordinary differential equations (ODE’s) can be solved accurately with the Sumudu transform method. In this study, we investigate the abilities provided by the Sumudu transform method, including its applications to four different scenarios. The primary objectives of this research are to show how the Sumudu transform method works for solving ODE’s and to look at how it might be used in real-world scenarios. First, we give a brief overview of the Sumudu transform technique by highlighting its basic ideas and mathematical foundation. Then we use this approach for modeling each of the selected applications. These equations’ transformed expressions can be used to carry out operations in the modified domain once we apply the Sumudu transform. Once the results have been interpreted, we skillfully use the inverse Sumudu transform to them in order to get exact solutions in the domain that originally existed. The Sumudu transform approach produces findings that are very accurate and consistent with assumptions derived from theory. This method’s effectiveness confirms the Sumudu transform method’s promise as a useful analytical tool for resolving differential equations that can arise in a variety of scientific and engineering domains.