Applied Mathematics and Computational Intelligence (AMCI)
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AMCI is peer-reviewed and published as an online open-access journal as well as in printed copy. The journal welcomes original and significant contributions in the area of applied mathematics and computational intelligence. It emphasises on empirical or theoretical foundations, or their applications to any field of investigation where mathematics and computational intelligence techniques are used. The journal is designed to meet the needs of a wide range of mathematicians, computer scientists and engineers in academic or industrial research.
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PublicationSimilarity measure exercise for classification trees based on the classification path( 2012-12)
;N. Hasan ;M. B. Adam ;N. MustaphaM. R. Abu BakarClassification tree models are known for their simplicity and efficiency when dealing with domains contain large number of variables and cases. However, a small perturbation in the data, can lead to a very different tree. We introduce a method for measuring similarity between binary classification trees based on the similarity between the classification paths. The trees to be compared are represented in the form of matrices whose entries are in the interval [0,1]. Overlap similarity measure is used to measure the similarity between each pair of path in two trees, and the best matching paths between trees are used to calculate the similarity measure. This method has advantage to measure trees that possess the same structure and leaf nodes but different internal node -
PublicationDescriptional complexity of lindenmayer systems( 2012-12)
;S. Turaev ;G. Mavlankulov ;M. OthmanM. H. SelamatIn this paper we study the nonterminal complexity of Lindenmayer systems with respect to tree controlled grammars. We show that all 0L, D0L and E0L languages can be generated by tree controlled grammars with at most five nonterminals. The results based on the idea of using a tree controlled grammar in the t-normal form, which has the one active nonterminal, and a coding homomorphism. -
PublicationPositive periodic solutions of singular first order difference equations( 2012-12)
;O. Omar ;M. MohamedS. MuhammadIn this paper, we employ Kranoselskii fixed point theorem and obtain sufficient conditions for the existence and multiplicity of positive periodic solution to the singular first order difference equation ∆x(k) = −a(k)x(k) + λb(k)f(x(k)), k ∈ Z. -
PublicationUnsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux( 2012-12)
;M. Suali ;N. M. A. Nik LongA. IshakAn analysis is carried out to study the unsteady two dimensional stagnation point flow and heat transfer over a stretching/shrinking sheet with prescribed surface heat flux. The governing partial differential equations are converted into nonlinear ordinary differential equations using similarity variables, and solved numerically. The effects of the unsteadiness parameter A, stretching/shrinking parameter ε and Prandtl number Pr on the flow and heat transfer characteristics are studied. It is found that the skin friction f′′(0) and the local Nusselt number 1θ(0) increase as the the unsteadiness parameter A increases. Moreover, the velocity and temperature increase as ε and Pr increase. -
PublicationNumerical solution of integro differential equations based on double exponential transformation in the sinc-collocation method( 2012-12)
;M. A. Fariborzi AraghiGh. Kazemi GelianIn this paper, we consider double exponential transformations to solve integro differential equations by Sinc collocation method. Numerical examples illustrate the validity and applicability of the method. In addition, the method is easy to use and yields very accurate results. -
PublicationOn the behavior of certain turing system( 2012-12)
;J. NeeH-S. HuangWe extend the generalized maximum principle of Lou and Ni [1] of elliptic equations to parabolic equations. By this result, we show that the solution of a Turing system has a global attractor provide the diffusion coefficient D≠0 otherwise the solution blow-up in finite time. -
PublicationA preliminary report on the utilization of Galerkin-PSO method for solving interpolation-like problem( 2012-12)
;Ayu Fitri YantiIwan PranotoThe interpolation-like problem discussed in this paper is to search an optimal curve minimizing a functional cost and at the same time interpolating several given points. Instead of solving the optimization problem with constrain directly, we transform the problem into a pure optimization problem, without constrain. After that, the Galerkin Method is used to make the problem finite dimensional one. The problem becomes finding a minimal point and value of a finite dimensional function. The Particle Swarm Optimization (PSO) algorithm is used to minimize this function. -
PublicationAnalysis of structure reliability on beam using fuzzy finite element method (FFEM)( 2013-07)
;A.Y.N. Yusmye ;C.T. Ng ;S.C. Tan.K. AriffinThe main requirement in designing a structure is to ensure the structure is reliable enough to withstand any loading. However, in the real world, for structural analysis, the presence of uncertainties in the input variable has reduced the accuracy of the calculated structural reliability. The purpose of this study is to determine the structural reliability with the consideration of uncertainties involved. The developed simulation method is the fuzzy set theory incorporating with the finite element methods followed with margin safety based on the yield strength of the structural reliability. This method is then used to analyze a given beam structure under loading for the material which are made from Aluminium 2024-T4. In this study, the modulus of section, and loading, are used as a fuzzy parameters. In conclusion, the combination of fuzzy set theory with the finite element method plays an important role in determining the structural reliability in the real world. -
PublicationLightning protection for roof-mounted solar cell using two masts( 2013-07)N. PetcharaksHouses invested in roof-mounted solar cell need protection from direct lightning. This paper presents the application of numerical method in designing the height and location of masts based on protection angle method according to international standard IEC 62305. An isolated external lightning protection system using two masts is designed. The protected zone which is in the volume according to the protection angle method, depends on the protection level, the rolling sphere radius and the height of the masts which must be less than the rolling sphere radius defined in IEC standard. Furthermore, separation distance between the protected house and mast depends on the height of the mast. This paper develops a program using heuristic numerical method to design masts to protect a house with roof-mounted solar cell. Input data such as the house dimensions and the lightning protection class should be provided. This program is tested on houses with different dimensions. The height and location of two masts are obtained. The numerical results show that this program can be used effectively and correctly.
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PublicationThermal radiation effects on MHD convective flow overa plate in a porous medium by perturbation technique( 2013-07)
;S. Karthikeyan ;M. Bhuvaneswari ;S. RajanS. SivasankaranThis paper analyzes the influence of thermal radiation on the problem of unsteady magneto-convection flow of an electrically conducting fluid past a semi-infinite vertical porous plate embedded in a porous medium with time dependent suction. Perturbation technique is applied to transform the non-linear coupled governing partial differential equations in dimensionless form into a system of ordinary differential equations. The resulting equations are solved analytically and the solutions for the velocity and temperature fields are obtained. For different values of the flow parameters, the values for Nusselt number and skin-friction co-efficient are calculated. It is observed that the increase in the radiation parameter implies the decrease in the boundary layer thickness and enhances the rate of heat transfer. The velocity decreases as the existence of magnetic field becomes stronger. -
PublicationHigher order Homotopy Taylor-Perturbation via start-system( 2013-07)
;N. H. Abd Rahman ;A. IbrahimM. I. JayesOne of the problems in iterations is to determine the best initial value and to ensure the convergence of the iterations. So, the objective is to evaluate the effectiveness of higher order approximated solutions of Homotopy Taylor-perturbation using start-system to overcome the problems. Successive approximation procedures using start-system technique are applied to the Classical Newton-Raphson, the Newton-perturbation, the Higher Order Taylor-perturbation and the new higher order Homotopy Taylor-perturbation (HHTP). The results are compared and evaluated. Numerical examples are given to illustrate and support the suggested algorithms. Results show that HHTP offers as an alternative and effective way in solving nonlinear equations. -
PublicationNumerical method for dam break problem by using Godunov approach( 2013-07)
;Mohamad Fadhli Ahmad ;Mustafa Mamat ;W. B. Wan NikAgus KartonoIn this study a numerical scheme was developed in order to overcome the problem of shock wave for the test case of dam break. The numerical scheme was based on Godunov approach of finite volume method to solve the shallow water equation. In order to expedite and improve the solution an approximate Roe’s Riemann solver associated with Monotone Upstream-centred Scheme for Conservation Laws (MUSCL) was applied. The results were presented in one and two dimensional and verifications were made with analytical solution. The results are comparable and a good agreement is achieved between numerical and analytical -
PublicationA numerical study of the mathematical model offlow in the petroleum reservoirs( 2013-07)P. Reihani ArdabiliThis paper concerns with the solution of a nonlinear, degenerate, convection-diffusion problem describing two-phase flow in porous media. A numerical procedure based on decomposition scheme is developed to solve the proposed problem. For illustration purpose, two test problems are considered and their series and exact solutions are compared.
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PublicationSingular fuzzy linear systems( 2013-12)Nikuie, MThe linear system of equationsA ̃x= ̃bwhereAis an×nsingular crisp matrixand the right-hand side is a fuzzy number vector is called a singular fuzzy linear systemof equations. Drazin inverse is one of the generalized inverses. In this paper the effect ofDrazin inverse in solving such systems using LU factorization is investigated. Here the com-puting Drazin inverse and solving singular fuzzy linear systems using MATLAB software areillustrated
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PublicationLanguages defined by pure patterns( 2013-12)
;Kumaar, Sindhu J. ;Abisha, P. J. ;Nor Haniza SarminSubramanian, K. G.Angluin’s pattern languages that use pattern strings as language descriptors,have motivated researchers in formal language theory to introduce and investigate grammarsbased on patterns. Both theoretical as well as application oriented properties of these gram-mars have been studied. On the other hand pure grammars in line with the early works ofThue have been proposed and studied for their properties. Here we introduce a new kind oflanguage generative device, called a pure pattern grammar,linking the notions of patternand pure grammars. Two modes of derivation in such a pattern grammar, called as syn-chronized and non-synchronized modes, are introduced. Theresultant families of languagesare compared for their generative power with certain other well-known families of languages.Certain closure properties and descriptional complexity results are also obtained -
PublicationSolving linear-quadratic bi-level programming and linear-fractional bi-level programming problems using genetic algorithm( 2013-12)
;Eghbal HosseinIsa Nakhai KamalabadiThe bi-level programming problem (BLPP) is a suitable method for solving the real and complex problems in applicable areas. There are several forms of the BLPP as an NP-hard problem. The linear-quadratic bi-level programming (LQBP) and the linear-fractional bi-level programming (LFBP) problems are two important forms of the BLPP. In this article, we show an effective method based on genetic algorithm (GA) for solving such problems. To obtain efficient upper bounds and lower bounds we use the Karush-Kuhn-Tucker (KKT) conditions for transforming the LQBP and the LFBP into single level problems. Thus by using the proposed GA, the single problems are solved. The proposed approach achieves efficient and feasible solutions and they are evaluated by comparing with references and test problems. -
PublicationBayesian Estimation for Poisson Process Models with Grouped Data and Covariate( 2013-12)
;Arasan, J.Yue Fang, L.This paper looks into the Bayesian approach for analyzing and selecting the bestPoisson process model for grouped failure data from a repairable system with covariate. Theextended powerlaw model with a recurrence rate that incorporates both time and covariateeffect is compared to the powerlaw, log-linear and HPP models. We propose the use ofboth informative and noninformative priors depending on the nature of the parameter. TheMCMC techinque is utilized to obtain samples from the posterior distribution which was im-plemented via WinBUGS. We then apply the Bayesian Deviance Information Criteria (DIC)to select the best model for real data from ball bearing failures where information regardingprevious failures are available. The credible interval is used to check the significance of theparameters of the selected model. We also used the posteriorpredictive distribution for modelchecking by comparing the observed and posterior predictive mean number of failures -
PublicationExistence of asymptotically almost periodic solutions of integrodifferential equations( 2013-12)
;Sathiyanathan, K.Gopal, T. NandhaIn this paper, a class of semilinear integrodifferential equations of the formu′′(t) +αu′′′(t) =βAu(t) +γAu′(t) +f(t, u(t)) +∫t0g(t, s, u(s))ds, t, s≥0,satisfyingαβ < γwith prescribed initial conditions are studied. Using certain strongly continuousfamilies in operator theory and fixed point theory, we have established some sufficient con-ditions for the existence and uniqueness of an asymptotically almost periodic solutions -
PublicationPAM modification using trimmed K-median based on TCLUST cluster analysis( 2013-12)
;M. A. Md. JediR. AdnanThis paper will discuss the TCLUST algorithm using restriction of constrains to scatter matrices. We are discussing among three constrains eigenvalue, matrix determinant and same sized cluster (sigma) that affect the shape of clusters. Trimming process using TCLUST is made to detect the best proportion of contaminated data and the best number of clusters to be used in the next step. Based on prior knowledge of TCLUST we are using the PAM to determine the best mediod that shape the data. The results are discussed between the three types of constraints. At the end of this paper we compared the TLUCT based on trimmed k-means method with modified PAM based on trimmed k-median method. -
PublicationSolving system of linear differential equations using haar wavelet( 2013-12)
;Berwal, N. ;Panchal, D.Parihar, C. L.n this paper, we present an approximate numerical solutionof system of lineardifferential equations using Haar wavelet method. Haar wavelet method is used because itscomputation is simple as it converts the problem into algebraic matrix equation. The resultsand graphs show that the proposed way is quite reasonable when compared to exact solution