[PDF] Top 20 Legendre polynomials for numerical solution of linear fuzzy Fredholm integral equations

... solving fuzzy linear inte- recent years, many numerical methods have gral ...the fuzzy Fredholm integral equations of the second ...a numerical method is proposed ... See full document

... Riemann integral and its numerical integration was investigated by Wu in ...the fuzzy integral equations to con- trol models with fuzzy uncertainties are presented ...of ... See full document

... 1.1. Legendre polynomials. To emphasize symmetry properties of Legendre polynomials, they are traditionally defined on the interval [ − 1, +1], but for our purposes it is preferable to map ... See full document

... Chebyshev polynomials and shifted Legendre polynomials for the numerical solution of nonlinear fractional integro-differential equations ... See full document

... Integral equations are applied in modelling many phenomena which arise in differ- ent science such as mathematical finance, biology, medical, social sciences, ...Volterra-Fredholm integral ... See full document

... Abstract. In this work, we have presented a novel method to find the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series ... See full document

... the fuzzy Hammerstein integral ...nonlinear fuzzy Fredholm integral equations of the second kind, and they proposed an iterative procedure based on the trapezoidal ...approximate ... See full document

... finding numerical solution of Linear mixed Volterra-Fredholm integral equations of the second kind (LMVFIE's) are introduced to solve (LMVFIE's) based on some ... See full document

... The integral equations arise in many industrial fields, such as: electromagnetic fields and thermal ...the solution of a Volterra integral equation of second ...on fuzzy linear ... See full document

... in Numerical Analysis at Islamic Azad University, Karaj Branch, ...is fuzzy mathematics especially, on numerical solution of fuzzy integral ... See full document

... include numerical solution of differential and integral equations, fuzzy math- ematics, especially, on solution of fuzzy systems, fuzzy integral ... See full document

... With exact solution . E. Babolian M. Mordad [6] used hat basis functions for the approximate solution of Eq. (2.73) with n=64 and they obtain the best results E. Babolian M. Mordad [6] by doing large steps ... See full document

... Volterra-Fredholm integral equations, many methods with enough accuracy and efficiency have been used before by many researches [6, 7, 8, 9, 10, 11, 12, 13, 14, ...Volterra-Fredholm ... See full document

... the numerical solution of singular integral equations by using Chebyshev polyno- mials of first, second, third and fourth kind to obtain systems of linear algebraic equations, ... See full document

... unique solution of the deterministic initial value ...of fuzzy differential equation, characterized those subsets of fuzzy sets in which the peano theorem is ...of solution of fuzzy ... See full document

... analytical solution can not be found for integral equation, therefore numerical methods have been ...proximate solution of the linear Fredholm fuzzy integral ... See full document

... Volterra- Fredholm integro-differential ...these equations can also appear when transforming a differen- tial equation into an integral equation ...of equations, the unknown function u x   ... See full document

... as linear Fredholm integral equations (FIEs) of the second ...squares solution is proved by the Nystr¨ om ...squares solution is ... See full document

... of fuzzy sets are reviewed in Section ...two-dimensional fuzzy splines in- terpolation. Also, we present two-dimensional fuzzy splines interpolation and iterative method for solving ...prove ... See full document

... Volterra-Fredholm Integral equations have received significant meaning in the mathematical physics, biology, engineering, and contact problems in the theory of elasticity [14, ...of equations ... See full document