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Mathematical and Computational Applications, Volume 29, Issue 2

April 2024 - 13 articles

Cover Story: This paper evaluates the local radial basis function collocation method using multiquadrics (MQs) and polyharmonic splines (PHSs) to solve steady and transient diffusion problems. Tests involve standard boundary and initial value cases with Dirichlet, Neumann, and Robin boundary conditions. A detailed analysis of node density, timestep, influence domain, node regularity, and shape parameters is performed. The advantages and drawbacks of using MQs and PHSs are outlined. View this paper
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Articles (13)

  • Article
  • Open Access
2 Citations
1,511 Views
24 Pages

This study aims to synthesize and implement a robust fractional order PD (RFOPD) controller to increase the speed at which defects in automated touch panel inspection systems (ATPISs) are detected. A three-dimensional orthogonal stage (TDOS) driven b...

  • Article
  • Open Access
3 Citations
1,878 Views
16 Pages

In this paper, we derive the well-defined solutions to a θ-dimensional system of difference equations. We show that, the well-defined solutions to that system are represented in terms of Fibonacci and Lucas sequences. Moreover, we study the glo...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,870 Views
18 Pages

Intraclass correlation in bilateral data has been investigated in recent decades with various statistical methods. In practice, stratifying bilateral data by some control variables will provide more sophisticated statistical results to satisfy differ...

  • Article
  • Open Access
3 Citations
2,617 Views
14 Pages

In this study, the Method of Fundamental Solutions (MFSs) is adopted to model Chemical Vapor Infiltration (CVI) in a fibrous preform. The preparation of dense fiber-reinforced silicon carbide composites is considered. The reaction flux at the solid s...

  • Article
  • Open Access
4 Citations
4,547 Views
23 Pages

M5GP: Parallel Multidimensional Genetic Programming with Multidimensional Populations for Symbolic Regression

  • Luis Cárdenas Florido,
  • Leonardo Trujillo,
  • Daniel E. Hernandez and
  • Jose Manuel Muñoz Contreras

Machine learning and artificial intelligence are growing in popularity thanks to their ability to produce models that exhibit unprecedented performance in domains that include computer vision, natural language processing and code generation. However,...

  • Article
  • Open Access
4 Citations
3,188 Views
24 Pages

A Coupled Finite-Boundary Element Method for Efficient Dynamic Structure-Soil-Structure Interaction Modeling

  • Parham Azhir,
  • Jafar Asgari Marnani,
  • Mehdi Panji and
  • Mohammad Sadegh Rohanimanesh

This paper introduces an innovative approach to numerically model Structure–Soil-Structure Interaction (SSSI) by integrating the Boundary Element Method (BEM) and the Finite Element Method (FEM) in a coupled manner. To assess the accuracy of th...

  • Article
  • Open Access
9 Citations
2,532 Views
30 Pages

This paper aims to systematically assess the local radial basis function collocation method, structured with multiquadrics (MQs) and polyharmonic splines (PHSs), for solving steady and transient diffusion problems. The boundary value test involves a...

  • Article
  • Open Access
3 Citations
1,793 Views
19 Pages

Carbon nanotubes are widely used as material reinforcement in diverse fields of engineering. Being that their contribution is significant to improving the mean properties of the resulting materials, it is important to assess the influence of the vari...

  • Article
  • Open Access
2 Citations
3,394 Views
22 Pages

Semi-Supervised Machine Learning Method for Predicting Observed Individual Risk Preference Using Gallup Data

  • Faroque Ahmed,
  • Mrittika Shamsuddin,
  • Tanzila Sultana and
  • Rittika Shamsuddin

Risk and uncertainty play a vital role in almost every significant economic decision, and an individual’s propensity to make riskier decisions also depends on various circumstances. This article aims to investigate the effects of social and eco...

  • Article
  • Open Access
8 Citations
2,175 Views
21 Pages

This study is centered on examining the static bending behavior of sandwich plates featuring functionally graded materials, specifically addressing distinct representations of porosity distribution across their thickness. The composition of the sandw...

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Math. Comput. Appl. - ISSN 2297-8747