A stable computational approach to analyze semi‐relativistic behavior of fractional evolutionary problems

Hamid, Muhammad; Usman, Muhammad; Wang, Wei; Tian, Zhenfu

doi:10.1002/num.22617

Cited by 24 publications

(15 citation statements)

References 34 publications

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“…Researchers have agreed that the MCDA paradigm is productive in healthcare domains and is a beneficial decision‐making tool since it enables transparency, robustness, and consistency in the context of diverse and contradictory parameters [ 12 , 45 ]. The study outcomes recommend that when confronted with various alternatives of equivalent worth in healthcare decision-making situations, researchers should employ MCDA methodologies and tools.…”

Section: Discussionmentioning

confidence: 99%

Socioeconomic Influence on Cardiac Mortality in the South Asian Region: New Perspectives from Grey Modeling and G-TOPSIS

Rehman

Hussaın

et al. 2021

Journal of Healthcare Engineering

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Background. Measuring the potential socioeconomic factors of cardiac mortality is fundamental to identifying treatments, setting priorities, and effectively allocating resources to minimize disease burden. The study sought to present a methodology that explores the connections between urbanization, population growth, human development index (HDI), access to energy, unemployment, and cardiovascular disease (CVD) mortality within the South Asian Association for Regional Cooperation (SAARC) nations to mitigate the cardiac disease burden. Methods. This investigation uses multiple-criteria decision-making methodologies to analyze data between 2001 and 2017 commencing with a mathematical grey incidence analysis (GIA) methodology to estimate weights and rank nations based on CVD mortality. Then, utilizing the conservative min-max model approach, we sought to determine which country contributes the most to CVD mortality among all South Asian nations. The grey preference by similarity to ideal solution (G-TOPSIS) method is adopted for further optimization by prioritizing the selected factors that have the greatest influence on CVD mortality. Results. The estimated statistic highlights that, among SAARC nations, Pakistan has a significant proportion of the disease burden attributable to cardiac events. In addition, HDI showed a significant contribution in the reduction of CVD mortality, whereas unemployment showed a significant contribution in the rise of CVD mortality among all selected variables. Conclusions. This investigation may facilitate researchers with a multiple-criteria decision-making roadmap to help them enhance the quality of their studies and their understanding of how to use multiple-criteria decision-making techniques to evaluate and prioritize the influencing factors of disease mortality in healthcare research. Further, the study outcomes provide additional practical knowledge for appropriate policy solutions.

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Section: Discussionmentioning

confidence: 99%

Socioeconomic Influence on Cardiac Mortality in the South Asian Region: New Perspectives from Grey Modeling and G-TOPSIS

Rehman

Hussaın

et al. 2021

Journal of Healthcare Engineering

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“…The need for tools that aid in decision-making occurs in a variety of healthcare settings, and these tools are employed to varying degrees in different settings [ 30 , 31 ]. In this study, we focus on the possibilities of using a specific decision-making assistance technique in disease-related risk variables.…”

Section: Discussionmentioning

confidence: 99%

Application of Grey-Based SWARA and COPRAS Techniques in Disease Mortality Risk Assessment

Rehman

Naz

et al. 2021

Journal of Healthcare Engineering

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The health industry is amongst the most affected systems in terms of multiobjective decision-making, rendering the final solution, vulnerable to errors; however, multicriteria decision analysis (MDCA) emerges as a supportive tool for the process of decision-making. Therefore, the present study seeks to offer an MCDA framework for assessing and identifying the potential influence of socioeconomic risk factors on noncommunicable disease mortality. We adopted a subjective approach of grey-based Step-wise Weight Assessment Ratio Analysis (SWARA) and COmplex PRoportional Assessment (COPRAS) approach to calculate weights of parameters and criteria, respectively, and then rank them based on their degree of significance. The findings reveal that CRD mortality is potentially affected by the selected socioeconomic risk variables followed by IHD and cancer. Implementing MCDA techniques in the present study will assist the public health practitioners and policymakers in drawing decisions on the best strategy to reduce CRD mortality, which contributes significantly to raising overall mortality.

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“…Equations (7)–(10) are converted into the system of first‐order differential equations using a numerical method. The convergence standards are assigned as 10 −6 31,32 …”

Section: Solution Methodologymentioning

confidence: 99%

MHD stagnation point flow of a Maxwell nanofluid over a shrinking sheet (multiple solution)

Khan

Nadeem

2021

Heat Trans

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In the current study, a realistic approach is used to investigate the MHD stagnation point flow of a Maxwell nanofluid past a shrinking sheet with a chemical reaction. First, the flow model is made non dimensionalized via an appropriate transformation. The non dimensionalized equations are numerically tackled by adopting the bvp4c technique. It is also analyzed that the dual solutions are obtained for a particular choice of shrinking parameter. A detailed analysis of the impact of several parameters on the velocity field, temperature distribution, and concentration distribution is carried out graphically. The computed result shows that the first solution significantly increases for higher values of the magnetic parameter, whereas the second solution decreases. Furthermore, it is noted that the first and second solutions decreases for the relaxation parameter. The physical quantities are observed graphically. It is exhibited that the Nusselt number shows a decreasing behavior for the both solutions via relaxation parameter.

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A stable computational approach to analyze semi‐relativistic behavior of fractional evolutionary problems

Cited by 24 publications

References 34 publications

Socioeconomic Influence on Cardiac Mortality in the South Asian Region: New Perspectives from Grey Modeling and G-TOPSIS

Socioeconomic Influence on Cardiac Mortality in the South Asian Region: New Perspectives from Grey Modeling and G-TOPSIS

Application of Grey-Based SWARA and COPRAS Techniques in Disease Mortality Risk Assessment

MHD stagnation point flow of a Maxwell nanofluid over a shrinking sheet (multiple solution)

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