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Computation, Volume 11, Issue 7

July 2023 - 26 articles

Cover Story: New analytical solutions of the heat conduction equation obtained via the self-similar Ansatz are presented in cylindrical and spherical coordinates. These solutions are reproduced with high accuracy using recent explicit and unconditionally stable finite difference methods. After this, real experimental data from the literature regarding a heated cylinder are reproduced using explicit numerical methods as well as using the Finite Element Methods (FEM) ANSYS workbench. Convection and nonlinear radiation are also considered on the boundary of the cylinder. The results indicate that the numerical methods have a high accuracy in dealing with cylindrical and spherical bodies; also, the comparison of the temperatures showed that the explicit methods are more accurate than the commercial software. View this paper
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Articles (26)

  • Article
  • Open Access
9 Citations
3,550 Views
25 Pages

This paper presents a comprehensive approach for minimizing makespan in the challenging two-stage hybrid flowshop with dedicated machines, a problem known to be strongly NP-hard. This study proposed a constraint programming approach, a novel heuristi...

  • Review
  • Open Access
3 Citations
3,100 Views
23 Pages

This paper presents modern methods of mathematical modeling, which are widely used in the development of new inhalation and intranasal drugs, including those necessary for the treatment of socially significant diseases, which include: tuberculosis, b...

  • Article
  • Open Access
2 Citations
1,380 Views
23 Pages

This paper investigates the asymptotic hyperstability of a single-input–single-output closed-loop system whose controlled plant is time-invariant and possesses a strongly strictly positive real transfer function that is subject to internal and...

  • Article
  • Open Access
2 Citations
2,068 Views
31 Pages

With the proliferation of the Internet of Things devices and cyber-physical systems, there is a growing demand for highly functional and high-quality software. To address this demand, it is crucial to employ effective software verification methods. T...

  • Article
  • Open Access
3,496 Views
17 Pages

Quantifying Causal Path-Specific Importance in Structural Causal Model

  • Xiaoxiao Wang,
  • Minda Zhao,
  • Fanyu Meng,
  • Xin Liu,
  • Zhaodan Kong and
  • Xin Chen

Path-specific effect analysis is a powerful tool in causal inference. This paper provides a definition of causal counterfactual path-specific importance score for the structural causal model (SCM). Different from existing path-specific effect definit...

  • Article
  • Open Access
2,844 Views
18 Pages

Developing a Numerical Method of Risk Management Taking into Account the Decision-Maker’s Subjective Attitude towards Multifactorial Risks

  • Aleksandr Alekseev,
  • Zhanna Mingaleva,
  • Irina Alekseeva,
  • Elena Lobova,
  • Alexander Oksman and
  • Alexander Mitrofanov

Risk involves identifying several options that the decision-maker can opt for while making a choice either in the direction of risk or reliability. In this approach, risk is defined as the action of the subject which will lead to the loss or guarante...

  • Article
  • Open Access
8 Citations
7,662 Views
21 Pages

Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

  • Humam Kareem Jalghaf,
  • Endre Kovács,
  • Imre Ferenc Barna and
  • László Mátyás

New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and uncondition...

  • Article
  • Open Access
8 Citations
1,912 Views
21 Pages

We propose two accurate and efficient spectral collocation techniques based on a (novel) domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs arising in financial modeling and with chaotic behavior. One of the ma...

  • Article
  • Open Access
16 Citations
4,773 Views
30 Pages

We studied obtaining exact solutions to a set of equations related to the SEIR (Susceptible-Exposed-Infectious-Recovered) model of epidemic spread. These solutions may be used to model epidemic waves. We transformed the SEIR model into a differential...

  • Article
  • Open Access
8 Citations
3,331 Views
27 Pages

We utilize the travelling-wave Ansatz to obtain novel analytical solutions to the linear diffusion–reaction equation. The reaction term is a function of time and space simultaneously, firstly in a Lorentzian form and secondly in a cosine travel...

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Computation - ISSN 2079-3197Creative Common CC BY license