Abstract:

Mathematics is a part of our daily lives, and scientists and researchers from diverse areas, such as life sciences and computer science, use mathematical tools, methods, and models to substantiate their results. A very strong tool among these is the Laplace transform, used extensively by scientists and researchers to solve various kinds of complex problems. The vast applications of Laplace transformations in various disciplines are discussed in this paper. By analyzing various research articles, we discuss how the Laplace transform has been used to solve different research problems. This paper presents an overview of the theory of the Laplace transform, the particular problems it has solved, and its applications in each study. The major aim is to provide an extensive review of how the Laplace transform has been utilized systematically in solving differential and integral equations, which are mostly encountered in research. From this literature review, we identify the importance of Laplace transformations in solving varied research challenges. From the findings of various studies, we highly recommend the use of this method in modeling intricate problems as well as obtaining solutions efficiently.

Description:

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