Theory of Approximation and Applications
Volume:10 Issue: 1, Winter and Spring 2014

In this paper, we will present a modification of the preconditioned AOR-type method for solving the linear system. A theorem is given to show the convergence rate of modification of the preconditioned AOR methods that can be enlarged than the convergence AOR method.

In this paper, rst a design is proposed for representing fuzzy polynomials with input fuzzy and output fuzzy. Then, we sketch a constructive proof for existence of such polynomial which can be fuzzy interpolation polynomial in a set given of discrete points rather than a fuzzy function. Finally, to illustrate some numerical examples are solved.

In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...

In this paper we propose a simple non-parametric model for multiple crite- ria supplier selection problem. The proposed model does not generate a zero weight for a certain criterion and ranks the suppliers without solving the model n times (one linear programming (LP) for each supplier) and therefore allows the manager to get faster results. The methodology is illustrated using an example.

In this paper, we prove some common fi xed point results for two self mappings f and g on S-metric space such that f is a g.w.c.m with respect to g.

In this work, we have applied Elzaki transform and He's homotopy perturbation method to solve partial di erential equation (PDEs) with time-fractional derivative. With help He's homotopy per- turbation, we can handle the nonlinear terms. Further, we have applied this suggested He's homotopy perturbation method in order to reformulate initial value problem. Some illustrative examples are given in order to show the ability and simplicity of the approach. All numerical calculations in this manuscript were performed on a PC applying some programs written in Maple.

In this paper, we prove the existence of the solution for boundary value prob- lem(BVP) of fractional di erential equations of order q 2 (2; 3]. The Kras- noselskii's xed point theorem is applied to establish the results. In addition, we give an detailed example to demonstrate the main result.

In this paper we formulate and prove some xed and common xed point Theorems for self-mappings de ned on complete lower Transversal functional probabilistic spaces.

In this work, the solution of a boundary value problem is discussed via a semi analytical method. The purpose of the present paper is to inspect the application of the Adomian decomposition method for solving the Nagumo telegraph equation. The numerical solution is obtained for some special cases so that demonstrate the validity of method.