Journal of Applied Mathematics and Computing最新文献

Minimum resolving sets (edge or vertex) have become integral to computer science, molecular topology, and combinatorial chemistry. Resolving sets for a specific network provide crucial information required for uniquely identifying each item in the network. The metric(respectively edge metric) dimension of a graph is the smallest number of the nodes needed to determine all other nodes (resp. edges) based on shortest path distances uniquely. Metric and edge metric dimensions as graph invariants have numerous applications, including robot navigation, pharmaceutical chemistry, canonically labeling graphs, and embedding symbolic data in low-dimensional Euclidean spaces. A honeycomb torus network can be obtained by joining pairs of nodes of degree two of the honeycomb mesh. Honeycomb torus has recently gained recognition as an attractive alternative to existing torus interconnection networks in parallel and distributed applications. In this article, we will discuss the Honeycomb Rhombic torus graph on the basis of edge metric dimension.

In this paper, we explore the complex dynamical behavior of a discrete predator–prey system incorporating the prey immigration effect, which is transformed from a continuous model to a discrete system by utilizing nonstandard finite difference scheme. We analyze the stability conditions to better understand the behavior of the system when we include or exclude the immigration effect in the discrete system. Furthermore, we demonstrate that the discrete system undergoes supercritical Neimark–Sacker bifurcation when the bifurcation parameter passes through a critical value. We also study the state feedback chaos control strategy for the discrete system and we obtain the triangular region restricted by the lines that contain stable eigenvalues. Moreover, we illustrate phase portraits, maximum Lyapunov exponents, and bifurcation diagrams for the discrete system. We present the numerical simulations to validate the theoretical findings. Finally, with the advantage of the nonstandard finite difference discretization method, we eliminate the flip bifurcation that occurs when Euler discretization is used.

In this paper, we analyze interacting multi functional extreme learning machines by applying graph theory, groupoid theory, representation theory, operator theory, operator algebra theory and free probability.

In this paper, we design and analyse a high-order numerical algorithm based on the improvised quintic B-spline collocation method for solving the fourth-order fractional diffusion equation. The time-fractional derivative is approximated by Caputo’s time derivative. The space derivative is approximated by the collocation method based on improvised quintic B-spline functions. It is shown that the proposed algorithm is unconditionally stable. Through rigorous convergence analysis, the method is shown ((2-beta )) order convergent in time and almost sixth-order convergent in space direction. It is also shown that the theoretical rate of convergence is the same as that acquired experimentally. To confirm the theoretical results and to test the efficiency and robustness, the method is tested on three problems. The main contribution of the developed algorithm is that the order of convergence and numerical results obtained are better than the existing methods, like the sextic B-spline collocation method (Roul and Goura in Appl Math Comput 366:124727, 2020), the quintic B-spline method (Siddiqi and Arshed in Int J Comput Math 92(7):1496–1518, 2015), and the quintic spline method (Tariq and Akram in Numer Methods Part Differ Equ 33(2):445–466, 2017). It has been proved that the order of convergence of the proposed method is six, which is two orders of magnitude higher than the other spline collocation methods.

The defined epidemiological model system explaining the spread of infectious diseases characterized with SARS-CoV-2 is analysed. The resulting SEIQR model is analysed in a closed system. It considers the basic reproductive value, the equilibrium point, local subclinical stability of the disease-free equilibrium point and local subclinical stability of the endemic equilibrium point. This is examined and the asymptotic dynamics of the appropriate model system are investigated. Further, a sensitivity analysis supplemented by simulations is prepared in advance to impose how changes in parameters involve the dynamic behaviours of the model.

Two improved subgradient extragradient algorithms are proposed for solving nonmonotone variational inequalities under the nonempty assumption of the solution set of the dual variational inequalities. First, when the mapping is Lipschitz continuous, we propose an improved subgradient extragradient algorithm with self-adaptive step-size (ISEGS for short). In ISEGS, the next iteration point is obtained by projecting sequentially the current iteration point onto two different half-spaces, and only one projection onto the feasible set is required in the process of constructing the half-spaces per iteration. The self-adaptive technique allows us to determine the step-size without using the Lipschitz constant. Second, we extend our algorithm into the case where the mapping is merely continuous. The Armijo line search approach is used to handle the non-Lipschitz continuity of the mapping. The global convergence of both algorithms is established without monotonicity assumption of the mapping. The computational complexity of the two proposed algorithms is analyzed. Some numerical examples are given to show the efficiency of the new algorithms.

The p,q-quasirung orthopair fuzzy (p,q-ROF) sets offer a superior approach to describing fuzzy and uncertain information compared to q-rung orthopair fuzzy sets. This paper first introduces generalized Dombi operational laws for p,q-ROF numbers. Utilizing these laws, we develop the p,q-ROF generalized Dombi weighted average (p,q-ROFGDWA) operator, the p,q-ROF generalized Dombi weighted geometric (p,q-ROFGDWG) operator, and their ordered weighted forms. We thoroughly examine the desirable properties and special cases of these new aggregation operators. Subsequently, we devise a multiple-criteria group decision-making method based on the p,q-ROFGDWA and p,q-ROFGDWG operators. Also an example regarding the selection of infectious medical waste treatment technology in Lahore, Pakistan is provided to exemplify the practicality and effectiveness of the developed model. The obtained results are then compared with other relevant methods, highlighting the efficacy and authenticity of the propound approach. Additionally, sensitivity analysis is performed to verify the suggested method’s stability. The findings indicate that the framed approach delivers robust and credible results for determining the ideal healthcare waste treatment technology.

This paper investigates the exact wave solutions of the time-fractional modified Liouville equation (mLE) and time-fractional modified regularized long wave equation (mRLWE) which arise in water wave mechanics, via a new version of trial equation method (NVTEM). The present nonlinear models are reduced to nonlinear ordinary differential equations (NLODEs) by the traveling wave transform and the proposed solution by the NVTEM is used to evaluate the solutions of mLE and mRLWE. This analytical method is not applied before to these equations and novel wave solutions are acquired in the form of rational, exponential, hyperbolic, and Jacobi elliptic types. The solitary solutions of the equations under consideration make them essential models in shallow water dynamics, in liquids and gas bubbles, in magneto-hydrodynamics, and in plasma. This fact has become a motivation for this research.

In this paper, we conduct a further analysis of the modulus-based matrix splitting iteration method proposed in J-W He, S Vong. (Appl Math Lett 134: 108344, 2022) for vertical linear complementarity problems. Our study extends and enhances the existing theoretical theorems, which are also validated through numerical examples.

In this paper, we construct a higher order predictor–corrector technique for time fractional Benjamin–Bona–Mahony–Burgers’ equations. Instead of directly using an explicit scheme as the predictor in traditional predictor–corrector methods, we employ a new predictor scheme based on the author’s previous work ([24] https://doi.org/10.1007/s10910-024-01589-6), in which the given nonlinear equation is linearized by several linearization techniques and solved by Adams–Moulton scheme for the temporal direction and fourth order finite difference scheme for the spatial direction. Once the predictor solution is obtained, the higher order Adams–Moulton method is used as the corrector. Moreover, to make much higher order technique, a multiple correction technique is introduced by repeatedly correcting the results induced from the predictor. Numerical results demonstrate the efficiency of the proposed schemes.