Theory of Approximation and Applications
Volume:9 Issue: 1, Winter and Spring 2013

In this paper we introduce the root of a fuzzy number, and we present an iterative method to nd it, numerically. We present an algorithm to generate a sequence that can be converged to n-th root of a fuzzy number.

In this paper, He''s highly prolic variational iteration method is applied ef- fectively for showing the existence, uniqueness and solving a class of singular second order two point boundary value problems. The process of nding solu- tion involves generation of a sequence of appropriate and approximate iterative solution function equally likely to converge to the exact solution of the given problem which being processed out and improvised on its own at every step re- cursively. Moreover, Illustrative examples available to the context in literature when treated with, by application of such proposed method fetch encouraging results so as to justify and reveal its eciency and usefulness of the method.

We consider the concept of -distance on a complete partially ordered G- metric space and prove some common xed point theorems.

In this paper, we have studied on the solutions of modied KdV equation and also on the stability of them. We use the tanh method for this investigation and given solutions are good-behavior. The solution is shock wave and can be used in the physical investigations

In this paper, a new method based on parametric form for approximate solu- tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where A is a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one, is presented. Then a numerical example is presented to illustrate the proposed model.

DEA methodology allows DMUs to select the weights freely, so in the optimal solution we may see many zeros in the optimal weight. to overcome this prob- lem, there are some methods, but they are not suitable for evaluating DMUs with fuzzy data. In this paper, we propose a new method for solving fuzzy DEA models with restricted multipliers with less computation, and compare this method with Liu''[11]. Finally, by the proposed method, we evaluate a ex- ible manufacturing system with little computation, and then we compared the computational complexity of our proposed method with that of liu''s method.

In this work, we present a computational method for solving second kind nonlinear Fredholm Volterra integral equations which is based on the use of Haar wavelets. These functions together with the collocation method are then utilized to reduce the Fredholm Volterra integral equations to the solution of algebraic equations. Finally, we also give some numerical examples that shows validity and applicability of the technique.

Let R be an associative ring with identity, C(R) be the category of com- plexes of R-modules and Flat(C(R)) be the class of all at complexes of R- modules. We show that the at cotorsion theory (Flat(C(R)); Flat(C(R))?) have enough injectives in C(R). As an application, we prove that for each at complex F and each complex Y of R-modules, Exti(F;Y) = 0, whenever R is n-perfect and i > n.

It is proved that by using bounds of eigenvalues of an interval matrix, some conditions for checking positive deniteness and stability of interval matrices can be presented. These conditions have been proved previously with various methods and now we provide some new proofs for them with a unity method. Furthermore we introduce a new necessary and sucient condition for checking stability of interval matrices.

In this article, we apply the Multiquadric radial basis function (RBF) interpo- lation method for nding the numerical approximation of traveling wave solu- tions of the Kawahara equation. The scheme is based on the Crank-Nicolson formulation for space derivative. The performance of the method is shown in numerical examples.