INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS
Year:2011 | Volume:3 | Issue:2|Papers Count:7

This article is for teaching steam table interpolation to the first year engineering students.We present a systematic approach for interpolating steam tables. In the thermodynamics book, a double interpolation approach is mentioned to find state properties at a tempera-ture and pressure which are not mentioned in the table. See the following thermodynamics books [Engineering Thermodynamics by J.B. Jones and R.E. Dugan, Thermodynamics by W.Z. Black and J.G. Hartley, and Applied Thermodynamics for Engineering Technolo-gists by T.D. Eastop and A. McConkey]. In this work, we present bilinear interpolation approach for teaching such concepts. We found our approach easy to teach to engineering students.

In this paper, the fuzzy bivariate Chebyshev method is proposed for solving the fuzzy Volterra-Fredholm integral equations (FVFIE). FVFTE is converted to a dual fuzzy linear system that can be solved by the proposed method in [10]. And finally, the method is explained with illustrative examples.

In this paper, a Klein-Gordon equation is solved by using the Adomian’s decomposition method, variational iteration method and modified form of these methods. The approxi-mate solution of this equation is calculated in the form of series in which its components are computed by applying a recursive relation. The existence and uniqueness of the so-lution and the convergence of the proposed methods are proved. A numerical example is studied to demonstrate the accuracy of the presented methods.

In this paper, we present some efficient numerical algorithms for solving system of dual fuzzy polynomial equations based on Newton’s method. The modified Adomian decom-position method is applied to construct the numerical algorithms. Some numerical illus-trations are given to show the efficiency of algorithms.

Multiquadric quasi-interpolation is a useful instrument in approximation theory and its applications. In this paper, a numerical approach for solving Kawahara equation (KE) is developed by using multiquadric quasi-interpolation method. Obtaining numerical so-lution of KE by multiquadric quasi-interpolation is done by a recurrence relation. In this recurrence relation, the approximation of derivative is evaluated directly without the need to solve any linear system of equation. Also, by combining Hermite interpolation and quasi-interpolationLD, another way to solve KE is obtained. The KE occurs in the theory of magneto-acoustic waves in a plasma and in the theory of shallow water waves with surface tension. We test the method in two examples and compare the numerical and exact results.

This paper deals with one problem that needs to be addressed in the emerging field known under the name computing with perceptions. It is the problem of describing, approxi-mately, a given fuzzy set in natural language. This problem has lately been referred to as the problem of retranslation. An approaches for dealing with the retranslation problem is discussed in the paper, that is based on a pre-defined set of linguistic terms and the asso-ciated fuzzy sets. The retranslation problem is discussed in terms of two criteriavalidity and informativeness.

This paper presents a numerical method for analysis of electromagnetic radiation from thin wire dipole antenna. For modeling of such structure, an appropriate form of Fredholm integral equation of the first kind is used, in which the unknown function is the current distribution on the surface of the antenna. An efficient collocation method is formulated for the solution of this integral equation whose main advantage is the use of entire domain basis functions. Finally, the radiation patterns for the antenna are given.