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

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.

Keywords

• h-differentiability
• fuzzy boundary value differential equation (fbvde)
• legendre wavelets
• shifted legendre polynomials
• operational matrix