[PDF] Top 20 The Numerical Solution of the Fredholm Integral Equations of the Second Kind

... The integrals in (3.23) must often be calculated numerically. However, there is not much that can be said for integrals of this generality. First, they involve the entire interval [a, b], as contrasted with some later ... See full document

... fuzzy integral equations (FIE) from both theoretical and numerical points of view has been developed in recent years after a distinct study of the existence of a unique solution for fuzzy ... See full document

... of the extended method were discussed and some results were established. In [5], the homotopy analysis method (HAM) was applied for solving fuzzy linear Fredholm integral equations of the ... See full document

... by second equation in system (1) has not gener- ally a continuous inverse, so that it is difficult to obtain a precise numerical solution by classical discretization ...transform integral ... See full document

... solving integral and integro-differential equations, because a great number of problems in physi- cal science and engineering are modeled by such equations [6, 5, 2, 15, 11, 13, 16, 17, 9, 3, 10, 4, ... See full document

... solving Fredholm integral equations of the second kind, and it is one of the easiest numerical methods to define and analyze [1, page ... See full document

... the numerical solution for solving system of linear Fredholm integral ...equations. Numerical results, compared with other methods such as the midpoint, Trapezoidal, Simpson, ... See full document

... in numerical solution of linear Fredholm integral equations and other related functional equations [2, 3, 4, 8, 14, ...approximate solution is led to solve the ... See full document

... For cases where the evaluation of integrals analysis is impossible or complicated the previously mentioned methods cannot be applied. there are many mathematicians have tried to find a way to overcome this obstacle. In ... See full document

... and integral mean value method [6] ...ponding numerical stability analyses in the literatures [9] [10] ...integro-differential equations in ...linear Fredholm integral equations ... See full document

... solve second kind Volterra integral ...The numerical results obtained by the proposed method are in good agreement with the exact ...the numerical solutions coincide with the exact ... See full document

... 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 ...investigated ... See full document

... where (f (x; r), f (x; r)) is the parametric form of f(x). It should be noted that the fuzzy integral can be also defined using the Lebesgue- type approach [9]. However, if f (x) is continuous, both approaches ... See full document

... Introduction In this chapter we consider the solution of the second kind equation when the kernel is of the form 1 where m is smooth and o has an integrable singularity typically The tw[r] ... See full document

... The Legendre wavelet operational matrix P, together with the integration of the product of two Legendre wavelet vectors functions, are utilized to solve the integral equation. The present method reduces an ... See full document

... mixed integral equation of the first kind of type Fredholm- Volterra in position and time, ...The Fredholm integral term is considered in a variable position, in the space L 2 [  1 , 1 ... See full document

... Integral equations occur in a wide variety of physical ...different numerical methods for solving integral ...solving integral equations in higher ...the numerical ... 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 ... See full document

... the solution of the problem is reduced to dual integral equations involving trigonometric cosine ...the solution of the dual integral equa- tions is transformed into the solution ... See full document

... for Fredholm integral equations of the first ...solving Fredholm integral equations of the first kind in Hilbert space setting using Tikhonov ...the Fredholm ... See full document