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

Nonlinear engineering: Modeling and application

article

Najeeb Alam Khan¹  Oyoon Abdul Razzaq¹ 

[1] Department of Mathematical Sciences, University of Karachi

关键词: H-differentiability;    Fuzzy boundary value differential equation (FBVDE);    Legendre wavelets;    shifted Legendre polynomials;    operational matrix;   

DOI  :  10.1515/nleng-2015-0021

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

Unknown