Applications of Wavelets for BVPs and Signal Processing
DOI:
https://doi.org/10.31642/JoKMC/2018/070203Keywords:
Chebyshev wavelets, operation matrix of integration OMI, Spectral method, Boundary Value Problems BVP, signal processing, compression signalAbstract
The transfer of information using the signal needs speed, which leads to the compression of the information. It is only possible through the process of using a mathematical technique at work. To demonstrate an increase in theory efficiency, it was used in signal processing, compression, and good results. In section 4 Matrix was used because M=3 was taken, where six functions were obtained, when these functions were integrated, the operations matrix of integration was added, which was added to solve Boundary Value Problems (BVPs) numerically. In addition to solving problems numerically, using the proposed technique, which is signal processing, to demonstrate the efficiency of the proposed theory as indicated in section 2, wavelets are built on the dependence of the four effects . In addition, the number of equations obtained is calculated based on the value of where six functions are obtained and the greater value of is obtained More functions, leading to greater accuracy in obtaining the best results.Downloads
References
Z. Kh. Alabacy, A. A. Abdulrehman and L. Hadi, “Direct method for solving nonlinear variational problems by using Hermite Wavelets,” Baghdad Science Journal, vol. 12(2), pp. 425-430, 2015. DOI: https://doi.org/10.21123/bsj.12.2.425-430
A. A. Abdalrehman, “An algorithm for nth order intgro-differential equations by using Hermite Wavelets functions,” Baghdad Science Journal, vol. 11(3), pp. 1290-1294, 2014. DOI: https://doi.org/10.21123/bsj.11.3.1290-1294
A. A. Abdurrahman, “Numerical solution of optimal control problems using new Third Kind Chebyshev Wavelets Operational Matrix of integration,” Engineering and Technology Journal, vol. 32(1 Part (B) Scientific), pp. 145-156, 2014.
S. Shihab and A. Mohammed, “An efficient algorithm for nth order integro-differential equations using new Haar Wavelets matrix designation,” International Journal of Emerging, Technologies in Computational and Applied Sciences (IJETCAS), vol. 12(209), pp. 32-35, 2012.
M. Kajani and M. Hasem, “Numerical solution of linear integro-differential equation by using Sine-Cosine Wavelets,” Appl. Math. Comput., vol. 1(8), pp. 569-574, 2006. DOI: https://doi.org/10.1016/j.amc.2005.12.044
A. Nasab, A. Kilicman, E. Babolian and Z. Atabakan, “Wavelet analysis method for solving linear and nonlinear singular boundary value problems,” Applied Mathematical Modelling, vol. 37, pp. 5876–5886, 2013. DOI: https://doi.org/10.1016/j.apm.2012.12.001
M. Arsalani and M. Vali, “Numerical solution of nonlinear variational problems with moving boundary conditions by using Chebyshev Wavelets,” App. Math. Scie., vol. 5(20), pp. 947-964, 2011.
Z. KH. Alabacy and A. A. Abdulrahman, “First chebyshev wavelet in numerical solution and signal processing,” Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 12(1), pp. Math 34–41, 2020.
A. M. Hadi and A. A. Abdulrahman, “Multi discrete Laguerre Wavelets Transforms with the mathematical aspects, ” Journal of Al-Qadisiyah for Computer Science and Mathematics, vol. 12(1), pp. Math 26–37, 2020.
B. Satyanarayan, Y. Pragathi Kumar and A. Abdulelah, “Laguerre Wavelet and its programming,” International Journal of Mathematics Trends and Technology, vol. 49(2), pp. 129-137, 2017. DOI: https://doi.org/10.14445/22315373/IJMTT-V49P516
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 Zina KH. Alabacy
This work is licensed under a Creative Commons Attribution 4.0 International License.
which allows users to copy, create extracts, abstracts, and new works from the Article, alter and revise the Article, and make commercial use of the Article (including reuse and/or resale of the Article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made and the licensor is not represented as endorsing the use made of the work.
