A new approach for solving fractional RL circuit model through quadratic Legendre multi-wavelets

International Journal of Mathematical Physics

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Field Value
 
Title A new approach for solving fractional RL circuit model through quadratic Legendre multi-wavelets
 
Creator Chauhan, Narottam Singh
 
Subject Electrical circuit, Fractional differential equation, Quadratic Legendre multiwavelet
 
Description The aim of present work is to obtain the approximate solution of fractional model for the electrical RL circuit by using quadratic Legendre multiwavelet method (QLMWM). The beauty of the paper is convergence theorem and mean square error analysis, which shows that our approximate solution converges very rapidly to the exact solution and the numerical solution is compared with the classical solution and Legendre wavelets method (LWM) solution, which is much closer to the exact solution. The fractional integration is described in the Riemann-Liouville sense. The results are shows that the method is very effective and simple. In addition, using plotting tools, we compare approximate solutions of each equation with its classical solution and LWM .
 
Publisher Whioce Publishing Pte Ltd
 
Contributor
 
Date 2018-07-27
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://ojs.whioce.com/index.php/ijmp/article/view/724
10.18063/ijmp.v1i1.724
 
Source International Journal of Mathematical Physics; Vol 1, No 1 (Published)
2630-4600
 
Language eng
 
Relation http://ojs.whioce.com/index.php/ijmp/article/view/724/462
 
Rights Copyright (c) 2018 Narottam Singh Chauhan
http://creativecommons.org/licenses/by-nc/4.0
 

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