Journal of Applied Mathematics and Computing最新文献

In this manuscript, a general class of Jacobian-free iterative schemes for solving systems of nonlinear equations is presented. Once its fourth-order convergence is proven, the most efficient sub-family is selected in order to make a qualitative study. It is proven that the most of elements of this family are very stable, and this is checked by means on numerical tests on several problems of different sizes. Their performance is compared with other known Jacobian-free iterative procedure, being better in the most of results.

Smog is a thick haze of air pollution that harms human health and the environment. If we can control the factors of smog, then we can reduce it. A well-organized and valuable tool is a picture fuzzy influence graph (left( {PFIG} right)) for managing ambiguity in practical challenges, including uncertain data, figures, facts, and discoveries. A (PFIG) provides membership, non-membership, and neutral degree values of vertices, edges, and influence pairs. Using the picture fuzzy influence pairs, we can get information regarding the effect of one vertex on another vertex or edge of the same or another graph, which is a key feature as this can connect two disconnected graphs. This article represents some basic concepts such as strongest, strong, and weak picture fuzzy influence pairs, which help to propose the idea of domination in a (PFIG). Finally, we present a helpful, applicable, and practical application to control smog using the concept of domination in a (PFIG). The proposed work is cross-verified by some multi-criteria decision-making methods such as TOPSIS, VIKOR, and EDAS, as well as with some picture fuzzy entropies.

In this paper, we derive a quantum analogue of Hermite–Hadamard-type inequalities for twice differentiable convex functions whose second derivatives in absolute value are strongly ((alpha ,m ))-convex. We obtain new bounds using the H(ddot{o})lder and power mean inequalities. Moreover, we provide suitable examples in support of our theoretical results. We correlate our findings with comparable results in the literature and show that the obtained results are refinements and improvements.

Normalized cross-correlation is the reference approach to carry out template matching on images. When it is computed in Fourier space, it can handle efficiently template translations but it cannot do so with template rotations. Including rotations requires sampling the whole space of rotations, repeating the computation of the correlation each time.This article develops an alternative mathematical theory to handle efficiently, at the same time, rotations and translations. Our proposal has a reduced computational complexity because it does not require to repeatedly sample the space of rotations. To do so, we integrate the information relative to all rotated versions of the template into a unique symmetric tensor template -which is computed only once per template-. Afterward, we demonstrate that the correlation between the image to be processed with the independent tensor components of the tensorial template contains enough information to recover template instance positions and rotations. Our proposed method has the potential to speed up conventional template matching computations by a factor of several magnitude orders for the case of 3D images.

In this paper, we study linear complementary pairs (LCP) of codes over finite non-commutative local rings. We further provide a necessary and sufficient condition for a pair of codes (C, D) to be LCP of codes over finite non-commutative Frobenius rings. The minimum distances d(C) and (d(D^perp )) are defined as the security parameter for an LCP of codes (C, D). It was recently demonstrated that if C and D are both 2-sided LCP of group codes over a finite commutative Frobenius rings, (D^perp ) and C are permutation equivalent in Liu and Liu (Des Codes Cryptogr 91:695–708, 2023). As a result, the security parameter for a 2-sided group LCP (C, D) of codes is simply d(C). Towards this, we deliver an elementary proof of the fact that for a linear complementary pair of codes (C, D), where C and D are linear codes over finite non-commutative Frobenius rings, under certain conditions, the dual code (D^perp ) is equivalent to C.

The primary goal of this study is to investigate the necessary conditions for the Hilfer–Langevin dynamical system with initial circumstances to be controllable. Using a sequencing technique, we have employed the concept of a bounded integral contractor to reach our results. Unlike previous studies, we do not need to specify the induced inverse of the controllability operator, and the relevant nonlinear function does not have to satisfy a Lipschitz condition to prove our accurate controllability conclusions. We have obtained a theoretical result that is shown to be critically important through an example.

This study explores a prey-predator model with a Holling type II functional response, focusing on how predation-induced fear affects prey dynamics. Assuming a decline in prey population growth rate attributed to predator-induced fear, the model incorporates a fear response delay representing prey detection time, along with gestation delay. The system’s positivity, boundedness, and permanence are proved under certain parametric conditions. The local stability is discussed at trivial, semi-trivial, and positive equilibria. The system exhibits Hopf bifurcation with respect to both delays. Hopf bifurcation analysis is done for different combinations of delays. Furthermore, the properties of periodic solutions in the delayed system are also determined. An extensive numerical simulation has been performed to validate analytical findings. The occurrence of Hopf bifurcation is shown for different combinations of delays by plotting eigenvalues.

Combined oncolytic virotherapy and immunotherapy are novel treatment protocols that represent a promising and advantageous strategy for various cancers, surpassing conventional anti-cancer treatments. This is due to the reduced toxicity associated with traditional cancer therapies. We present a mathematical model that describes the interactions between tumor cells, the immune response, and the combined application of virotherapy and interleukin-2 (IL-2). A stability analysis of the model for both the tumor and tumor-free states is discussed. To gain insight into the impact of model parameters on tumor cell growth and inhibition, we perform a sensitivity analysis using Latin hypercube sampling to compute partial rank correlation coefficient values and their associated p-values. Furthermore, we perform optimal control techniques using the Pontryagin maximum principle to minimize tumor burden and determine the most effective protocol for the administered treatment. We numerically demonstrate the ability of combined virotherapy and IL-2 to eliminate tumors.

The fourth industrial revolution, in which mechanical appliances can be precisely and automatically handled, depends extensively on intelligent manufacturing. It has the potential to create more productive manufacturing facilities. Still, defects and possible mishaps in the production process affect the workflow, deplete resources, and worsen environmental effects. Failure modes and effects analysis (FMEA) is a systematic method for identifying, analyzing, and removing possible failures in products, designs, and procedures. Due to uncertainty’s multiple nature, more than one method or technique is needed to deal with such flaws or failures. Ultimately, there is a dire need to develop hybrid models to address and resolve manufacturing process failures. Many fuzzy rough MCDM techniques have been designed to deal with and quantify uncertainty when assessing failure modes; these methods often use triangular fuzzy numbers and FMEA. When modeling complex and asymmetric fuzzy sets, trapezoidal fuzzy numbers offer a more expressive and accurate alternative to the more basic and limited triangle fuzzy numbers. This study proposes a novel approach to prioritize FMEA risks by combining trapezoidal fuzzy rough numbers with VIKOR method to address ambiguity in expert opinions. Using fuzzy rough intervals rather than a single crisp value, fuzzy rough numbers are utilized to deal with ambiguous information regarding linguistic variables. Robots employed in the cabal industry can have their potential failures identified and assessed more effectively with the help of the suggested trapezoidal fuzzy rough FMEA technique.

In recent years, there has been a notable increase in atmospheric carbon dioxide ((hbox {CO}_2)) levels, primarily due to the burning of fossil fuels, which has led to heightened global warming and negative repercussions for human populations. As a result, governments are striving to diminish reliance on fossil fuels by promoting the adoption of renewable energy sources. This research introduces a nonlinear mathematical model that has been developed to examine the consequences of shifting the population from traditional energy sources, such as coal, oil, and gas to renewable alternatives like solar, wind, and hydropower. The concept revolves around governments encouraging the adoption of renewable energy by the public as (hbox {CO}_2) levels increase, thereby enabling a phased transition away from conventional energy sources. The population is divided into two segments: those dependent on conventional energy and those opting for green alternatives due to their understanding of the environmental impact of fossil fuels and (hbox {CO}_2) emission. Our analysis suggests that if the demand for energy from traditional sources surpasses a certain threshold, atmospheric (hbox {CO}_2) levels may begin to fluctuate periodically. To maintain (hbox {CO}_2) concentrations at a lower level, there must be a significant rate of transition from traditional to renewable energy sources within the population.