[PDF] Top 20 Numerical Solution of Fredholm Fuzzy Integral Equations of the Second Kind Via Direct Method Using Triangular Functions

... efficient numerical method to solve linear Fredholm fuzzy integral equations of the second kind based on two m-sets of triangular ...proposed method ... See full document

... A numerical method for solving linear Volterra and Fredholm integral equations of the second kind is ...of triangular functions (TFs) and the related ... See full document

... Fuzzy integral equations play major roles in various areas, therefore a new method for finding a solution of the Fredholm fuzzy integral equation is ...This ... See full document

... basis functions method [4], Haar wavelets [5] and integral mean value method [6] ...ponding numerical stability analyses in the literatures [9] [10] ...integro-differential ... See full document

... Fredholm integral equations is ...the method was proved, but without the error ...a numerical method for nonlinear fuzzy Fredholm integral equations, ... See full document

... If f (x) is a crisp function then the solutions of Eqs. (3.6) and (3.8) are crisp as well. However, if f (x) is a fuzzy function these equations may only possess fuzzy solutions. The following ... See full document

... obtain numerical solution of Volterra- Fredholm integral ...Volterra-Fredholm integral equation, we use inversion form of F-transform instead of precise representation of the ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of ... See full document

... expansion-iterative method for numerical solution of Volterra integral equation of the second ...angular functions (TFs) [6]. Using the method, solving the ... See full document

... for second kind FIE based on BPFs ( that coincides with Nystr¨ om method based on midpoint rule), the statements i and ii are in- vestigated and then by elementary theorems, the proved lemmas are ... 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

... tion method and properties of the basis functions that are necessary for the formulation of the dis- crete ...the method of regu- larization is used to approximate the solution of ...algebraic ... See full document

... the solution of dual integral equations with trigono- metric cosine ...the solution of the problem is reduced to the solution of two simultaneous system of Fredholm ... See full document

... and numerical methods use to solve nonlinear FIE as mentioned in the previous section but these analytical solution methods are not easy to use and require tedious ...nonlinear Fredholm ... See full document

... kernel method (DKM) is a well-known classical method for solving Fredholm integral equations of the second kind, and it is one of the easiest numerical methods to ... See full document

... vectors functions, are utilized to solve the integral ...present method reduces an integral equation into a set of algebraic ...quadrature solution is good. For better results, ... See full document

... approximations method to reduce the Fredholm integral equations to the solution of algebraic ...Galerkin method, to reduce the solution of Fredholm equations ... See full document

... three numerical examples to test the Modified Midpoint method for solving system of linear Fredholm integral equations of the second ...by using a programs written in ... 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 ...3/8 ... 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