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

[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.

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