https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/issue/feedJournal of Innovative Applied Mathematics and Computational Sciences2024-01-21T00:00:00+00:00J. Innov. Appl. Math. Comput. Scijiamcs@centre-univ-mila.dzOpen Journal Systems<p>The Journal of Innovative Applied Mathematics and Computational Sciences (JIAMCS) is an online, open-access, peer-reviewed, semiannual international journal published by<span style="font-size: 0.875rem;"> </span>the University Center Abdelhafid Boussouf, MILA, ALGERIA.</p> <p>The journal publishes high-quality original research papers from various fields related to applied mathematics, scientific computing, and computer science.</p> <p> </p>https://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2_60On numerical and analytical solutions of the generalized Burgers-Fisher equation2023-12-30T21:09:15+00:00Japhet Lukondelukondejaphet@gmail.comChristian Kasumockasumo@mu.ac.zm<p><span class="fontstyle0">In this paper, the semi-analytic iterative and modified simple equation methods have been implemented to obtain solutions to the generalized Burgers-Fisher equation. To demonstrate the accuracy, efficacy as well as reliability of the methods in finding the exact solution of the equation, a selection of numerical examples was given and a comparison was made with other well-known methods from the literature such as variational iteration method, homotopy perturbation method and diagonally implicit Runge-Kutta method. The results have shown that between the proposed methods, the modified simple equation method is much faster, easier, more concise and straightforward for solving nonlinear partial differential equations, as it does not require the use of any symbolic computation software such as Maple or Mathematica. Additionally, the iterative procedure of the semi-analytic iterative method has merit in that each solution is an improvement of the previous iterate and as more and more iterations are taken, the solution converges to the exact solution of the equation.</span> </p>2024-01-17T00:00:00+00:00Copyright (c) 2024 Japhet Lukonde, Christian Kasumohttps://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2Existence of solutions for a class of kirchhoff-type problem with triple regime logarithmic nonlinearity2023-12-30T23:17:54+00:00Tahir Boudjeriout.boudjeriou@univ-boumerdes.dz<p>In this paper, we use variational methods to study the existence of nontrivial solutions for a class of Kirchhoff-type elliptic problems driven by the <span id="MathJax-Element-1-Frame" class="MathJax" style="--tw-border-spacing-x: 0; --tw-border-spacing-y: 0; --tw-translate-x: 0; --tw-translate-y: 0; --tw-rotate: 0; --tw-skew-x: 0; --tw-skew-y: 0; --tw-scale-x: 1; --tw-scale-y: 1; --tw-scroll-snap-strictness: proximity; --tw-ring-offset-width: 0px; --tw-ring-offset-color: #fff; --tw-ring-color: rgb(59 130 246 / .5); --tw-ring-offset-shadow: 0 0 #0000; --tw-ring-shadow: 0 0 #0000; --tw-shadow: 0 0 #0000; --tw-shadow-colored: 0 0 #0000; box-sizing: border-box; display: inline; font-style: normal; font-weight: 400; line-height: normal; font-size: 14px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: #333333; font-family: 'Source Sans Pro', 'Helvetica Neue', Helvetica, Arial, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; background-color: #ffffff; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;" tabindex="0" role="presentation" data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></math>"><span id="MathJax-Span-1" class="math"><span id="MathJax-Span-2" class="mrow"><span id="MathJax-Span-3" class="mi">p</span><span id="MathJax-Span-4" class="mo">(</span><span id="MathJax-Span-5" class="mi">x</span><span id="MathJax-Span-6" class="mo">)</span></span></span></span>-Laplacian with triple regime and sign-changing nonlinearity.</p> <p>The main novelty of this paper is our ability to establish an existence result for a class of Kirchhoff-type problems in which the reaction term is sign-changing and exhibits a triple regime (subcritical, critical, and supercritical).</p>2024-01-19T00:00:00+00:00Copyright (c) 2024 Tahir Boudjeriouhttps://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2_83A distance metric for ordinal data based on misclassification2023-12-31T00:38:35+00:00Dreas Nielsendnielsen@integral-corp.com<p>Distances between data sets are used for analyses such as classification and clustering analyses. Some existing distance metrics, such as the Manhattan (City Block or L1 ) distance, are suitable for use with categorical data, where the data subtype is numeric, or more specifically, integers. However, ordinality of categories imposes additional constraints on data distributions, and the ordering of categories should be considered in the calculation of distances. A new distance metric is presented here that is based on the number of misclassifications that must have occurred within one data set if it were in fact identical to another data set. This "misclassification distance" is equivalent to the number of reclassifications necessary to transform one data set into another. This metric takes account not only of the numbers of observations in corresponding ordinal categories, but also of the number of categories across which observations must be moved to correct all misclassifications. Each stepwise movement of an observation across one or more categories that is required to equalize the distributions increases the distance metric, thus this method is referred to as a stepwise ordinal misclassification distance (SOMD). An algorithm is provided for the calculation of this metric.</p>2024-01-20T00:00:00+00:00Copyright (c) 2024 Dreas Nielsenhttps://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2_1383jMetal and MFHS collaboration for task scheduling optimization in heterogeneous distributed system2024-01-06T21:00:52+00:00Abdelhamid Khiata.khiat@dtri.cerist.dz<p><span class="fontstyle0">Task scheduling in distributed computing architectures has attracted considerable research interest, leading to the development of numerous algorithms aiming to approach optimal solutions. However, most of these algorithms remain confined to simulation environments and are rarely applied in real-world settings. In a previous study, we introduced the </span><span class="fontstyle2">MFHS </span><span class="fontstyle0">framework, which facilitates the transition of scheduling algorithms from simulation to practical deployment. Unfortunately, </span><span class="fontstyle2">MFHS </span><span class="fontstyle0">currently offers a limited selection of scheduling heuristics. In this work, we address this limitation by presenting the </span><span class="fontstyle2">MFHS_jMetal </span><span class="fontstyle0">framework, integrating the extensive task scheduling algorithms available in the well-established </span><span class="fontstyle2">jMetal </span><span class="fontstyle0">framework. Our implementation demonstrates the successful expansion of available scheduling algorithms while preserving the core characteristics of </span><span class="fontstyle2">MFHS, </span><span class="fontstyle0">bridging the gap between theoretical models and real-world deployment.</span> </p>2024-01-20T00:00:00+00:00Copyright (c) 2024 Abdelhamid Khiathttps://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2_1717Non-informative Bayesian dispersion particle filter2024-01-06T21:37:16+00:00Ibrahim Sadokibrahim.sadok@univ-bechar.dz<p>In this research paper, we attempt to introduce a new algorithm for filtering a state-space model. The observations of this algorithm follow an exponential dispersion model. The paper focuses here on the inclusion of non-informative prior knowledge in parameter estimation on nonlinear state-space models using an improper uniform prior measure. Therefore, a new particle filter is introduced. A conventional particle filter (PF) produces an incorrect sample from a discrete approximation distribution. This new algorithm is a regularized continuous distribution method that is obtained with the exponential dispersion model. A necessary and sufficient condition for the existence and convergence of the non-informative Bayesian estimator of dispersion parameters is established. This methodology extends the classical PF implemented by this new estimation method for the exponential dispersion model framework using a non-informative Bayesian approach. In order to evaluate the performance of the proposed algorithm, a case study with simulations and microscopic image restoration is carried out. The results exhibit a great performance improvement from the proposed approach</p>2024-01-21T00:00:00+00:00Copyright (c) 2024 Ibrahim Sadokhttps://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/v3i2_177Adaptive control of a four-dimensional memristor-based Chua's circuit2023-05-23T23:44:45+00:00Labed Boudjemalabed.math@yahoo.frMohammed Salah Abdelouahabm.abdelouahab@centre-univ-mila.dz<p>This paper investigates the behavior of a four-dimensional memristor-based Chua circuit. Specifically, we emphasize its chaotic and hyperchaotic behavior using the phase portrait and the Lyapunov spectrum. As chaos is deemed undesirable in numerous scientific disciplines, particularly in fields like robotics and electronic sciences, where the analyzed circuit holds potential applications in electronic device construction, we aim to alleviate such behaviors. To achieve this, we put forth an adaptive control strategy involving unknown parameters. The effectiveness of the suggested adaptive chaos control is established using the Lyapunov stability theory. To further illustrate and confirm our findings, we present numerical simulations, providing a visual representation of the successful application of the proposed adaptive control in managing the circuit's dynamics.</p> <p> </p>2024-01-21T00:00:00+00:00Copyright (c) 2024 Labed Boudjema, Mohammed Salah Abdelouahab