Open AccessA Haar Wavelet Series Solution of Heat Equation with Involution
Author(s) -
Burma Saparova,
Roza Mamytova,
Nurjamal Kurbanbaeva,
Anvarjon Ahmedov
Publication year - 2021
Publication title -
journal of advanced research in fluid mechanics and thermal sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.247
H-Index - 13
ISSN - 2289-7879
DOI - 10.37934/arfmts.86.2.5055
Subject(s) - heat equation , mathematics , wavelet , involution (esoterism) , legendre wavelet , orthogonality , mathematical analysis , haar wavelet , differential equation , wavelet transform , computer science , discrete wavelet transform , geometry , artificial intelligence , politics , political science , law
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.