A Haar Wavelet Series Solution of Heat Equation with Involution

Authors

  • Burma Saparova Uzgen Institute of Technology and Education, Uzgen, Kyrgyzstan
  • Roza Mamytova Uzgen Institute of Technology and Education, Uzgen, Kyrgyzstan
  • Nurjamal Kurbanbaeva Osh State University, Osh, Kyrgyzstan
  • Anvarjon Akhatjonovich Ahmedov Pusat Sains Matematik, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia

DOI:

https://doi.org/10.37934/arfmts.86.2.5055

Keywords:

Heat equation, Haar wavelet, involution, approximation, numerical analysis

Abstract

It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain degree and the ability to represent functions on different levels of resolution. In this paper, new methods based on wavelet expansion are considered to solve problems arising in approximation of the solution of heat equation with involution. We have developed new numerical techniques to solve heat equation with involution and obtained new approximative representation for solution of heat equations.

Author Biographies

Burma Saparova, Uzgen Institute of Technology and Education, Uzgen, Kyrgyzstan

burma_uito@mail.ru

Roza Mamytova, Uzgen Institute of Technology and Education, Uzgen, Kyrgyzstan

cezi14@mail.ru

Nurjamal Kurbanbaeva, Osh State University, Osh, Kyrgyzstan

nkurbanbaeva77@gmail.com

Anvarjon Akhatjonovich Ahmedov, Pusat Sains Matematik, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia

anvarjon@ump.edu.my

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Published

2021-08-20

How to Cite

Saparova, B. ., Mamytova, R. ., Kurbanbaeva, N. ., & Ahmedov, A. A. (2021). A Haar Wavelet Series Solution of Heat Equation with Involution. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 86(2), 50–55. https://doi.org/10.37934/arfmts.86.2.5055

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