Abstract
This chapter presents a general introduction to differential equations together with its boundary conditions. In general, a differential equation is an equation which involves the derivatives of an unknown function represented by a dependent variable. It expresses the relationship involving the rates of change of continuously changing quantities modeled by functions and are used whenever a rate of change (derivative) is known. A brief introduction to different numerical methods in the existing literature like finite difference, finite element, shooting method and spline based method is also presented.
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Yadav, N., Yadav, A., Kumar, M. (2015). Overview of Differential Equations. In: An Introduction to Neural Network Methods for Differential Equations. SpringerBriefs in Applied Sciences and Technology(). Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9816-7_1
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DOI: https://doi.org/10.1007/978-94-017-9816-7_1
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Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-017-9815-0
Online ISBN: 978-94-017-9816-7
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