ISSN : 2583-2646

Differential Transformation in Numerical Study: A Case Study Differentiability Equation

ESP Journal of Engineering & Technology Advancements
© 2023 by ESP JETA
Volume 3  Issue 2
Year of Publication : 2023
Authors : Jyoti V Dighole, Mangal P Kale
:10.56472/25832646/JETA-V3I4P104

Citation:

Jyoti V Dighole, Mangal P Kale, 2023. "Differential Transformation in Numerical Study: A Case Study Differentiability Equation" ESP Journal of Engineering & Technology Advancements  3(2): 35-38.

Abstract:

Differential equations play a crucial role in understanding many events in technology and generation. Transformation techniques are one of the numerical approaches that mathematicians have devised to provide a numerical solution of differential equations with the least amount of error. There is currently no transformation method that claims to solve the supplied differential equations numerically or accurately without error. Laplace remodel, Differential transform, crucial remodel procedure, and others are a few of the transformation techniques. Laplace remodel, one of the techniques utilised by scientists and researchers to solve their differential equations, is presented in this study. This study of 18 research publications on Laplace rework programmes shows how many academics have used this rework to obtain the accurate solutions to ordinary, partial, and fractional differential equations. The primary objective of this work is to give a literature review on the use of the Laplace transform.

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Keywords:

Laplace transform, Iterative method, Fisher equation, Diffusion equation, Partial integro differential equation, The equations of gas dynamics, Volterra integral equations, Abel's integral equation, Malthusian regulation of population increase