Research ArticleOpen accessIn the abstractNumerical Solution of Linear Integro-Differential EquationsHusein Jaradat, Omar Alsayyed, S. Al-SharaProblem Statement: Integro-differential equations find special applicability within scientific and mathematical disciplines. In this study, an analytical scheme for solving Integrodifferential equations was presented. Approach: We employed the Homotopy Analysis Method (HAM) to solve linear Fredholm integro-differential equations. Results: Error analysis and illustrative examples were included to demonstrate the validity and applicability of the technique. MATLAB 7 was used to … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,097 accessesView PDFCite
Research ArticleOpen accessIn the abstractCharacterization of Chain as a Regular Semi GroupR. Kehinde, S.O. MakanjuolaProblem Statement: There are some special classes of semi group namely: regular and eventually regular, abundant, orthodox, quasi-adequate. The objective of this study were to: (i) Define a new class of semi group on a Poset and give related examples (ii) Study and establish conditions that characterized Chain as a regular semi group. Approach: Tests of some of characteristics of … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,792 accessesView PDFCite
Research ArticleOpen accessIn the abstractAnalytical Investigation of Hyperbolic Equations via He's MethodsD.D. Ganji, M. Amini, A. KolahdoozPerturbation methods depend on a small parameter which is difficult to be found for real-life nonlinear problems. To overcome this shortcoming, two new but powerful analytical methods were introduced to solve nonlinear heat transfer problems in this Letter, one is He's Variational Iteration Method (VIM) and the other is the Homotopy-Perturbation Method (HPM). Nonlinear hyperbolic equations were used as examples … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 7,122 accessesView PDFCite
Research ArticleOpen accessIn the abstractCollocation Discrete Least Squares (CDLS) Method for Elasticity Problems and Grid Irregularity Effect AssessmentM. Naisipour, M. H. Afshar, B. Hassani, A. R. FiroozjaeeA meshless approach, collocation discrete least square (CDLS) method, is extended in this paper, for solving elasticity problems and grid irregularity effect is assessed. In the present CDLS method, the problem domain is discretized by distributed field nodes. The field nodes are used to construct the trial functions. The moving least-squares interpolant is employed to construct the trial functions. Some … …American Journal of Applied Sciences, Vol. 5, Issue 11 · 30 Nov 2008 · 7,093 accessesView PDFCite
Research ArticleOpen accessIn the abstractReed-Muller Codec Simulation PerformanceO. O. Khalifa, A. H. Abdullah, N. Suriyana et al.The approach to error correction coding taken by modern digital communication systems started in the late 1940's with the ground breaking work of Shannon, Hamming and Golay. Reed-Muller (RM) codes were an important step beyond the Hamming and Golay codes because they allowed more flexibility in the size of the code word and the number of correctable errors per code … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 7,290 accessesView PDFCite
Research ArticleOpen accessIn the abstractPowerful Features of the Modern Syllogistic Method of Propositional LogicAli Muhammad Rushdi, Omar Mohammed Ba-RukabIn traditional propositional logic, many replacement and inference rules were involved to ascertain if the truth of several antecedents implied the truth of a particular consequent. This research described a powerful technique called the Modern Syllogistic Method (MSM), which ferreted out from a set of premises all that can be concluded from it and casted the resulting conclusions in the … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 7,111 accessesView PDFCite
Research ArticleOpen accessIn the abstractWeighting Spatial Information in GIS for Copper Mining ExplorationFarhad Hosseinali, Ali Asghar AlesheikhExploration of new mines is vitally important for human life. Geospatial Information Systems (GIS) can be effectively used in the gathering, weighting, analyzing and presenting spatial and attribute information to facilitate the mine exploration process. The success of mine exploration largely depends on: the identification of governing factors, the determination of their impacts and the selection of suitable models to … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 8,609 accessesView PDFCite
Research ArticleOpen accessIn the abstractHeuristic Algorithm in Optimal Discrete Structural DesignsAlongkorn Lamom, Thaksin Thepchatri, Wanchai RivepiboonThis study proposes a Heuristic Algorithm for Material Size Selection (HAMSS). It is developed to handle discrete structural optimization problems. The proposed algorithm (HAMSS), Simulated Annealing Algorithm (SA) and the conventional design algorithm obtained from a structural steel design software are studied with three selected examples. The HAMSS, in fact, is the adaptation from the traditional SA. Although the SA … …American Journal of Applied Sciences, Vol. 5, Issue 8 · 31 Aug 2008 · 7,347 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Approach to Compute Integral TransformsA. Adawi, F. AwawdehIntegral transforms find special applicability within scientific and mathematical disciplines. A powerful and efficient homotopy methodology in evaluating integrals arises in integral transforms was presented. The method depends on solving a related first order linear differential equation by homotopy analysis method HAM. The Laplace transform, Fourier transform and the moment generating function of the standard normal distribution were used as … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,718 accessesView PDFCite
Research ArticleOpen accessIn the abstractNonlinear Whitham-Broer-Kaup Wave Equation in an Analytical SolutionS.A. Zahedi, M. Vaezi, N. TolouThis study presented a new approach for the analysis of a nonlinear Whitham-Broer-Kaup equation dealing with propagation of shallow water waves with different dispersion relations. The analysis was based on a kind of analytical method, called Variational Iteration Method (VIM). To illustrate the capability of the approach, some numerical examples were given and the propagation and the error of solutions … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,687 accessesView PDFCite