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Mathematical and Computational Applications, Volume 15, Issue 3

2010 December - 20 articles

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Articles (20)

  • Article
  • Open Access
8 Citations
1,744 Views
9 Pages

Modified Variational Iteration Method for Schrodinger Equations

  • Syed Tauseef Mohyud-Din,
  • Muhammad Aslam Noor and
  • Khalida Inayat Noor

1 December 2010

In this paper, we apply the modified variational iteration method (MVIM) for solving Schrödinger equations. The proposed modification is made by introducing He’s polynomials in the correction functional of variational iteration method (VIM). The sugg...

  • Article
  • Open Access
4 Citations
1,544 Views
7 Pages

1 December 2010

This paper describes RULES3-EXT, a new algorithm for inductive learning. It has been developed to cope with some drawbacks of RULES-3 induction algorithm. The extra features of RULES3-EXT are (1) The number of required files to extract a knowledge ba...

  • Article
  • Open Access
21 Citations
1,772 Views
9 Pages

1 December 2010

Systems of Lane-Emden equations arise in the modelling of several physical phenomena, such as pattern formation, population evolution and chemical reactions. In this paper we construct Noether and partial Noether operators corresponding to a Lagrangi...

  • Article
  • Open Access
6 Citations
1,690 Views
10 Pages

1 December 2010

The present study introduces a novel and simple matrix method for the solution of longitudinal vibration of rods in terms of Taylor polynomials. The proposed method converts the governing partial differential equation of the system into a matrix equa...

  • Article
  • Open Access
10 Citations
1,567 Views
10 Pages

Proposing a New Model on Data Envelopment Analysis by Considering Non Discretionary Factors and a Review on Previous Models

  • G.R. Jahanshahloo,
  • F. Hosseinzadeh Lotfi,
  • N. Shoja,
  • A.Gholam Abri,
  • M. Fallah Jelodar and
  • Kamran Jamali Firouzabadi

1 December 2010

Discretionary models of data envelopment analysis (DEA) assume that all inputs and outputs are discretionary, i.e., controlled by the management of each decision making unit (DMU) and varied at its discretion. In any realistic situation, however, the...

  • Article
  • Open Access
7 Citations
1,662 Views
10 Pages

1 December 2010

The magnetohydrodynamic (MHD) flow of an electrically conducting second order/grade fluid past a porous disk is studied when the disk and the fluid at infinity rotate with the same angular velocity about non-coincident axes. It is found that the exis...

  • Article
  • Open Access
14 Citations
1,684 Views
7 Pages

1 December 2010

This paper presents a simple algebraic approach for deriving the optimal lot size for economic production quantity (EPQ) model with rework process. Conventional methods for solving lot size problems are by using differential calculus on the long-run...

  • Article
  • Open Access
10 Citations
1,951 Views
11 Pages

Legendre Series Solutions of Fredholm Integral Equations

  • Salih Yalçınbas,
  • Müge Aynigül and
  • Tuğçe Akkaya

1 December 2010

A matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Legendre series approximation. The method is based on first taking the truncated Legendre series expansion...

  • Article
  • Open Access
65 Citations
2,410 Views
12 Pages

1 December 2010

In this paper, a general framework of the reduced differential transform method is presented for solving the generalized Korteweg–de Vries equations. This technique doesn’t require any discretization, linearization or small perturbations and therefor...

  • Article
  • Open Access
11 Citations
1,682 Views
10 Pages

1 December 2010

A rank approach based on projection model is proposed to deal with multiple attribute decision-making[MADM] problems under risk and with attribute value as continuous random variable on bounded intervals. Firstly, risk decision matrix is normalized b...

  • Article
  • Open Access
4 Citations
1,513 Views
16 Pages

1 December 2010

In this paper, the existence and uniqueness theorems for a solution to an uncertain characteristic Cauchy reaction-diffusion problem is studied by Adomian decomposition method. Sufficient conditions are presented for uniform convergence of the propos...

  • Article
  • Open Access
3 Citations
1,427 Views
8 Pages

Application of Image Processing in Unsteady Flows to Investigate Bed Load Transport

  • Gökçen Bombar,
  • M. Sükrü Güney and
  • Mustafa S. Altınakar

1 December 2010

Image processing is a promising technique to investigate bed load characteristics and its movement which has been applied in steady flow conditions for the last few decades. In this study, it is aimed to perform experiments in unsteady flows through...

  • Article
  • Open Access
4 Citations
1,540 Views
11 Pages

E(5) Behaviour of the Ge Isotopes

  • Nureddin Turkan and
  • Ismail Maras

1 December 2010

The sufficient aspects of model leading to the E(5) symmetry have been proved by presenting E(5) characteristic of the transitional nuclei 64-80Ge. The positive parity states of even-mass Ge nuclei within the framework of Interacting Boson Model have...

  • Article
  • Open Access
14 Citations
1,383 Views
10 Pages

1 December 2010

In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space of fuzzy numbers. We also show that if a sequence is lacunary strong Pconvergence...

  • Article
  • Open Access
41 Citations
2,567 Views
12 Pages

1 December 2010

Up to tenth-order finite difference schemes are proposed in this paper to solve one-dimensional advection-diffusion equation. The schemes based on high-order differences are presented using Taylor series expansion. To obtain the solutions, up to tent...

  • Article
  • Open Access
1,429 Views
11 Pages

1 December 2010

The propagation of a strong magneto-gas dynamic, rotating and gravitating shock wave originating in a stellar interior is considered, when it approaches the surface of the star. The flow behind the shock wave is assumed to be spatially isothermal rat...

  • Article
  • Open Access
1,581 Views
9 Pages

1 December 2010

This paper studies the risk of intrauterine growth restriction (IUGR) using support vector machines (SVM). A structured and globally optimized SVM system may be preferable procedure in the identification of IUGR fetus at risk. The IUGR risk is estima...

  • Article
  • Open Access
12 Citations
1,816 Views
9 Pages

1 December 2010

In this work, the homotopy analysis method (HAM) is applied to solve the fourth-order parabolic partial differential equations. This equation practically arises in the transverse vibration problems. The proposed iterative scheme finds the solution wi...

  • Article
  • Open Access
50 Citations
1,984 Views
13 Pages

1 December 2010

Non-linear vibrations of slightly curved pipes conveying fluid with constant velocity are investigated. The curvature is taken as an arbitrary function of the spatial variable. The initial displacement is considered due to the geometry of the pipe it...

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Math. Comput. Appl. - ISSN 2297-8747