ITM Web Conf.
Volume 34, 2020International Conference on Applied Mathematics and Numerical Methods – third edition (ICAMNM 2020)
|Number of page(s)
|Differential Equations, Dynamical Systems, and Geometry
|03 December 2020
Haar wavelet collocation method for linear ﬁrst order stiff differential equations
Mechanical Engineering, Abdullah Gul University
2 Mechatronics Engineering, Sabanci University
In general, there are countless types of problems encountered from diﬀerent disciplines that can be represented by diﬀerential equations. These problems can be solved analytically in simpler cases; however, computational procedures are required for more complicated cases. Right at this point, the wavelet-based methods have been using to compute these kinds of equations in a more eﬀective way. The Haar Wavelet is one of the appropriate methods that belongs to the wavelet family using to solve stiﬀ ordinary diﬀerential equations (ODEs). In this study, The Haar Wavelet method is applied to stiﬀ diﬀerential problems in order to demonstrate the accuracy and eﬃcacy of this method by comparing the exact solutions. In comparison, similar to the exact solutions, the Haar wavelet method gives adequate results to stiﬀ diﬀerential problems.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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