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Mathematical and Computational Applications, Volume 28, Issue 1

2023 February - 27 articles

Cover Story: We propose a stabilized FEM for linear and nonlinear unsteady advection–diffusion–reaction (ADR) equations using a method of lines. Our approach uses a residual minimization strategy that combines time-marching and a discontinuous Galerkin (dG) formulation in space, which results in a continuous solution with on-the-fly error estimation for adaptivity. We demonstrate the effectiveness of our method on advection-dominated problems and the nonlinear Bratu equation in two dimensions, showing that it delivers stable solutions with an efficient adaptivity strategy. Our method delivers robust and reliable numerical simulations of ADR equations for various applications. View this paper
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Articles (27)

  • Article
  • Open Access
1 Citations
2,253 Views
17 Pages

The truck and trailer routing problem (TTRP) has been widely studied under different approaches. This is due to its practical characteristic that makes its research interesting. The TTRP continues to be attractive to developing new evolutionary algor...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,414 Views
20 Pages

Multi-objective reliability-based design optimization (MORBDO) is an efficient tool for generating reliable Pareto-optimal (PO) solutions. However, generating such PO solutions requires many function evaluations for reliability analysis, thereby incr...

  • Article
  • Open Access
12 Citations
3,163 Views
25 Pages

The usefulness of (probability) distributions in the field of biomedical science cannot be underestimated. Hence, several distributions have been used in this field to perform statistical analyses and make inferences. In this study, we develop the ar...

  • Article
  • Open Access
4 Citations
2,381 Views
23 Pages

Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

  • Michael O. Opoku,
  • Eric N. Wiah,
  • Eric Okyere,
  • Albert L. Sackitey,
  • Emmanuel K. Essel and
  • Stephen E. Moore

We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions a...

  • Article
  • Open Access
4 Citations
2,350 Views
15 Pages

Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculus which utilizes the multiplicative and division operator as compared to addition and subtraction. Multiplicative calculus is a vital part of applied...

  • Article
  • Open Access
5 Citations
2,563 Views
20 Pages

In this paper, the numerical solutions for magneto-hydrodynamic Hiemenz fluid over a nonlinear stretching sheet and the Brownian motion effects of nanoparticles through a porous medium with chemical reaction and radiation are studied. The repercussio...

  • Article
  • Open Access
18 Citations
3,025 Views
21 Pages

The main goal of the current research is to investigate the numerical computation of Ag/Al2O3 nanofluid over a Riga plate with injection/suction. The energy equation is formulated using the Cattaneo–Christov heat flux, non-linear thermal radiat...

  • Article
  • Open Access
7 Citations
3,522 Views
15 Pages

The primary objective of this article is to present an adaptive parameter VAR-KF technique (APVAR-KF) to forecast stock market performance and macroeconomic factors. The method exploits a vector autoregressive model as a system identification techniq...

  • Article
  • Open Access
20 Citations
3,226 Views
15 Pages

Currently, the efficiency of heat exchange is not only determined by enhancements in the rate of heat transfer but also by economic and accompanying considerations. Responding to this demand, many scientists have been involved in improving heat trans...

  • Article
  • Open Access
8 Citations
6,678 Views
19 Pages

Many-Objectives Optimization: A Machine Learning Approach for Reducing the Number of Objectives

  • António Gaspar-Cunha,
  • Paulo Costa,
  • Francisco Monaco and
  • Alexandre Delbem

Solving real-world multi-objective optimization problems using Multi-Objective Optimization Algorithms becomes difficult when the number of objectives is high since the types of algorithms generally used to solve these problems are based on the conce...

  • Editorial
  • Open Access
2,071 Views
3 Pages

Feature Paper Collection of Mathematical and Computational Applications—2022

  • Gianluigi Rozza,
  • Oliver Schütze and
  • Nicholas Fantuzzi

This Special Issue comprises the first collection of papers submitted by the Editorial Board Members (EBMs) of the journal Mathematical and Computational Applications (MCA), as well as outstanding scholars working in the core research fields of MCA [...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,590 Views
13 Pages

Particle filters, also known as sequential Monte Carlo (SMC) methods, constitute a class of importance sampling and resampling techniques designed to use simulations to perform on-line filtering. Recently, particle filters have been extended for opti...

  • Article
  • Open Access
11 Citations
2,164 Views
16 Pages

Controllability Criteria for Nonlinear Impulsive Fractional Differential Systems with Distributed Delays in Controls

  • Amar Debbouche,
  • Bhaskar Sundara Vadivoo,
  • Vladimir E. Fedorov and
  • Valery Antonov

We establish a class of nonlinear fractional differential systems with distributed time delays in the controls and impulse effects. We discuss the controllability criteria for both linear and nonlinear systems. The main results required a suitable Gr...

  • Article
  • Open Access
2 Citations
3,154 Views
15 Pages

COVID-19 Data Analysis with a Multi-Objective Evolutionary Algorithm for Causal Association Rule Mining

  • Santiago Sinisterra-Sierra,
  • Salvador Godoy-Calderón and
  • Miriam Pescador-Rojas

Association rule mining plays a crucial role in the medical area in discovering interesting relationships among the attributes of a data set. Traditional association rule mining algorithms such as Apriori, FP growth, or Eclat require considerable com...

  • Article
  • Open Access
2,626 Views
14 Pages

Pseudo-Poisson Distributions with Concomitant Variables

  • Barry C. Arnold and
  • Bangalore G. Manjunath

It has been argued in Arnold and Manjunath (2021) that the bivariate pseudo-Poisson distribution will be the model of choice for bivariate data with one equidispersed marginal and the other marginal over-dispersed. This is due to its simple structure...

  • Feature Paper
  • Article
  • Open Access
5 Citations
5,407 Views
22 Pages

The Hypervolume Newton Method for Constrained Multi-Objective Optimization Problems

  • Hao Wang,
  • Michael Emmerich,
  • André Deutz,
  • Víctor Adrián Sosa Hernández and
  • Oliver Schütze

Recently, the Hypervolume Newton Method (HVN) has been proposed as a fast and precise indicator-based method for solving unconstrained bi-objective optimization problems with objective functions. The HVN is defined on the space of (vectorized) fixed...

  • Article
  • Open Access
15 Citations
3,914 Views
18 Pages

A three-strain SEIR epidemic model with a vaccination strategy is suggested and studied in this work. This model is represented by a system of nine nonlinear ordinary differential equations that describe the interaction between susceptible individual...

  • Article
  • Open Access
1 Citations
2,761 Views
18 Pages

Thermography techniques are gaining popularity in structural integrity monitoring and analysis of mechanical systems’ behavior because they are contactless, non-intrusive, rapidly deployable, applicable to structures under harsh environments, a...

  • Feature Paper
  • Article
  • Open Access
8 Citations
2,779 Views
21 Pages

We construct a stabilized finite element method for linear and nonlinear unsteady advection–diffusion–reaction equations using the method of lines. We propose a residual minimization strategy that uses an ad-hoc modified discrete system t...

  • Article
  • Open Access
6 Citations
3,052 Views
29 Pages

An Experimental Study of Grouping Mutation Operators for the Unrelated Parallel-Machine Scheduling Problem

  • Octavio Ramos-Figueroa,
  • Marcela Quiroz-Castellanos,
  • Efrén Mezura-Montes and
  • Nicandro Cruz-Ramírez

The Grouping Genetic Algorithm (GGA) is an extension to the standard Genetic Algorithm that uses a group-based representation scheme and variation operators that work at the group-level. This metaheuristic is one of the most used to solve combinatori...

  • Article
  • Open Access
5 Citations
1,798 Views
22 Pages

In this paper, we study the long-time behavior of a weakly dissipative viscoelastic equation with variable exponent nonlinearity of the form utt+Δ2u0tg(ts)Δu(s)ds+a|ut|n(·)2utΔut=0, where n(.)...

  • Article
  • Open Access
9 Citations
3,118 Views
21 Pages

Analysis of Multi-Stacked Dielectric Resonator Antenna with Its Equivalent R-L-C Circuit Modeling for Wireless Communication Systems

  • Ram Krishna,
  • Agbotiname Lucky Imoize,
  • Rajveer Singh Yaduvanshi,
  • Harendra Singh,
  • Arun Kumar Rana and
  • Subhendu Kumar Pani

The dielectric resonator antenna (DRA) can be modeled as a series and parallel combination of electrical networks consisting of a resistor (R), inductor (L), and capacitor (C) to address peculiar challenges in antennas suitable for application in eme...

  • Article
  • Open Access
2 Citations
2,479 Views
15 Pages

This work analyses the effect of electromagnetic fields on cartilaginous cells in human joints and the nutrients that flow from the synovial fluid to the cartilage. The perturbation approach and the generalised dispersion model is used to solve the g...

  • Article
  • Open Access
22 Citations
3,139 Views
12 Pages

The current study used a novel Casson model to investigate hybrid Al2O3-Cu/Ethylene glycol nanofluid flow over a moving thin needle under MHD, Dufour–Soret effects, and thermal radiation. By utilizing the appropriate transformations, the govern...

  • Article
  • Open Access
2,367 Views
16 Pages

The problem of finite-time static output feedback H control for a class of discrete-time singular Markov jump systems is studied in this paper. With the consideration of network transmission delay and event-triggered schemes, a closed-loop mod...

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Math. Comput. Appl. - ISSN 2297-8747