[PDF] Top 20 Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method

... of fuzzy integral equations which is growing interest for some time, in par- ticular in relation to fuzzy control, have been rapidly developed in recent ...solving fuzzy integral ... See full document

... a numerical collocation method to approximate the solution of linear integral mixed Volterra- Fredholm equations of the second kind, with particular weakly ... See full document

... nonlinear Volterra integral equations of the second kind and Newton's method is applied to linearize ...convergence analysis of Newton’s method for the problem is ... See full document

... collocation method based on RBFs for numerical solution of three-dimensional linear Fredholm integral equations of the second kind on the cubic domains is ... See full document

... of fuzzy sets and set operations was first introduced by Zadeh [19] and subsequently several authors have studied various aspects of the theory and applications of fuzzy ...a numerical algorithm for ... See full document

... valid numerical methods, for solving Volterra equations using various polynomials [2], have been developed by many ...the solution of second order linear and first order ... See full document

... nonlinear integral equation of a crisp function over a fuzzy interval have been ...a numerical technique method and some algorithm for solving non-linear of crisp valued function over ... See full document

... nonlinear fuzzy Hammerstein–Volterra in- tegral equations with constant ...same method has been applied to the solutions that take values in the set of right-sided fuzzy numbers for a ... See full document

... collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by ... See full document

... direct method was formulated based on a spe- cial representation of TFs vector ...projection method, transforms a Volterra or Fredholm integral equa- tion of the second kind to a ... See full document

... paper, linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic ... See full document

... the linear second kind integral ...the integral equations. Then we reduced the integral equation to the solution of linear algebraic ... See full document

... novel method to find the numerical solution of the linear Ferdholm integral equation of second ...This method is based on the Taylor series multiplied by an exponential ... See full document

... of numerical methods agrees with the scheme of finding its ...finite-difference equations. Therefore, we call the construction of the method by the described scheme a finite-difference ... See full document

... solve fuzzy Fredholm integral equations of the second kind (FFIE-2) by researchers [7, 15, ...a numerical algorithm to solve FFIE-2 based on successive approximations ... See full document

... expansion-iterative method for solving second kind linear Volterra integral ...The method is based on a special representation of vector forms of triangular functions and ... See full document

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

... of numerical example, which include second kind Volterra integral equation available in the existing literature [1], ...each linear Volterra integral equation is ... See full document

... decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in various ...have; Homotopy Perturbation ... See full document

... existed numerical methods for approx- imating the solution of ...expansion method to solve Volterra integral equa- tions system of the second kind, in [8] Mirzaee obtained ... See full document