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Application of the Haar wavelet method for solution the problems of mathematical calculus

100%
Lepik Ü., Hein H.
Waves, Wavelets and Fractals
|
2015
|
vol. 1
|
issue 1
EN
In recent times the wavelet methods have obtained a great popularity for solving differential and integral equations. From different wavelet families we consider here the Haar wavelets. Since the Haar wavelets are mathematically most simple to be compared with other wavelets, then interest to them is rapidly increasing and there is a great number of papers,where thesewavelets are used tor solving problems of calculus. An overview of such works can be found in the survey paper by Hariharan and Kannan [1] and also in the text-book by Lepik and Hein [2]. The aim of the present paper is more narrow: we want to popularize our method of solution, which is published in 19 papers and presented in the text-book [2]. This method is quite universal, since a large group of problems can be solved by a unit approach. The paper is organised as follows. In Section 1 fundamentals of the wavelet method are described. In Section 2 the Haar wavelet method and solution algorithms are presented. In Sections 3-9 different problems of calculus and structural mechanics are solved. In Section 10 the advantageous features of the Haar wavelet method are summed up.
2
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Nanoparticles, Synthesis Methods and Applications - A Simple Review

80%
Nwakanma U. G., Elemike E. E.
World News of Natural Sciences
|
2023
|
vol. 47
48-60
EN
Nanotechnology has gained so much interest in today’s world. It is known to be the science of nanoscales which is less than 100 nanometre in size. This technology has been employed for different applications due to its eco-friendly and sustainable ability in the various fields of applications. Recently, nanotechnology is used in bio sensing, drug delivery, nano devices, separation and purification purposes. These nanoparticles which are used in the building blocks of many materials, and the synthesis methods vary for all due to their physical and chemical properties. This study attempts to review the field of nanotechnology, synthesis of nanoparticles, the properties of nanoparticles, the advantages and disadvantages of different methods and their applications.
3
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Memristors: a Short Review on Fundamentals, Structures, Materials and Applications

70%
Domaradzki J., Wojcieszak D., Kotwica T., Mańkowska E., Domaradzki J., Wojcieszak D., Kotwica T., Mańkowska E.
International Journal of Electronics and Telecommunications
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2020
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vol. 66
|
issue 2
4
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Inertial Sensors in the Stabilization System of the Balancing Vehicle

61%
Chudzik S., Chudzik S.
International Journal of Electronics and Telecommunications
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2021
|
vol. 67
|
issue 2
5
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High Gain 2x2 Slotted Array Antenna for 5G Mobile Applications

51%
Haneef S. R., Selvaperumal S. K., Jayapal V., Haneef S. R., Selvaperumal S. K., Jayapal V.
International Journal of Electronics and Telecommunications
|
2019
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vol. 65
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issue 4
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