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Mathematical and Computational Applications, Volume 28, Issue 1

February 2023 - 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
2,152 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
2,331 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
3,030 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
2,323 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
2,297 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
2,488 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
17 Citations
2,925 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
3,335 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
19 Citations
3,090 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...

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Math. Comput. Appl. - ISSN 2297-8747