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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... Abstract 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

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

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Publisher
de Gruyter
Copyright
Copyright © 2016 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2015-0021
Publisher site
See Article on Publisher Site

Abstract

Abstract 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.

Journal

Nonlinear Engineeringde Gruyter

Published: Mar 1, 2016

References