An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets

Autor:	G. Swaminathan, B. Sripathy, G. Hariharan
Rok vydání:	2021
Předmět:	010304 chemical physics Applied Mathematics 010102 general mathematics MathematicsofComputing_NUMERICALANALYSIS Order (ring theory) Data_CODINGANDINFORMATIONTHEORY General Chemistry 01 natural sciences Chebyshev filter Haar wavelet Nonlinear system Algebraic equation Wavelet Transformation (function) ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0103 physical sciences Convergence (routing) Applied mathematics 0101 mathematics Mathematics
Zdroj:	Journal of Mathematical Chemistry. 59:554-573
ISSN:	1572-8897 0259-9791
DOI:	10.1007/s10910-020-01206-2
Popis:	In this paper, we have developed an efficient Chebyshev wavelet-Picard method for solving Burgers’ equation and time-fractional Burgers’ equation. In order to get the solution, we decompose the nonlinear PDE by Picard method and then convert into a system of algebraic equations. Convergence analysis of the proposed wavelet method is also discussed. The proposed wavelet solutions are compared with the solutions obtained by Cole-Hopf transformation and Haar wavelet method. Satisfactory agreement with HAM and analytical solution is observed. Some illustrative examples are given to demonstrate the efficiency and accuracy of the proposed wavelet method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::893d7e9be0d3d3475f1cb2a909cc80cd https://doi.org/10.1007/s10910-020-01206-2 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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