An efficient computer based wavelets approximation method to solve Fuzzy boundary value differential equations

An efficient computer based wavelets approximation method to solve Fuzzy boundary value differential equations

In the present work a wavelets approximation method is employed to solve fuzzy boundary value differential equations (FBVDEs). Essentially, a truncated Legendre wavelets series together with the Legendre wavelets operational matrix of derivative are utilized to convert FB- VDE into a simple computat...

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Bibliographic Details
Published in:Nonlinear engineering Vol. 5; no. 1; pp. 1 - 6
Main Authors: Alam Khan Najeeb, Razzaq Oyoon Abdul
Format: Journal Article
Language:English
Published: De Gruyter 01-03-2016
Subjects:
fuzzy boundary value differential equation (fbvde)
h-differentiability
legendre wavelets
operational matrix
shifted legendre polynomials
Online Access:Get full text
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Summary:In the present work a wavelets approximation method is employed to solve fuzzy boundary value differential equations (FBVDEs). Essentially, a truncated Legendre wavelets series together with the Legendre wavelets operational matrix of derivative are utilized to convert FB- VDE into a simple computational problem by reducing it into a system of fuzzy algebraic linear equations. The capability of scheme is investigated on second order FB- VDE considered under generalized H-differentiability. Solutions are represented graphically showing competency and accuracy of this method.
ISSN:2192-8010
2192-8029
DOI:10.1515/nleng-2015-0021