Singular perturbation turning point problems (SP-TPPs) involving parabolic convection–diffusion Partial Differential Equations (PDEs) with large spatial delay are studied in this…
Abstract
Purpose
Singular perturbation turning point problems (SP-TPPs) involving parabolic convection–diffusion Partial Differential Equations (PDEs) with large spatial delay are studied in this paper. These type of equations are important in various fields of mathematics and sciences such as computational neuroscience and require specialized techniques for their numerical analysis.
Design/methodology/approach
We design a numerical method comprising a hybrid finite difference scheme on a layer-adapted mesh for the spatial discretization and an implicit-Euler scheme on a uniform mesh in the temporal variable. A combination of the central difference scheme and the simple upwind scheme is used as the hybrid scheme.
Findings
Consistency, stability and convergence are investigated for the proposed scheme. It is established that the present approach has parameter-uniform convergence of
Originality/value
Parabolic SP-TPPs exhibiting twin boundary layers with large spatial delay have not been studied earlier in the literature. The presence of delay portrays an interior layer in the considered problem’s solution in addition to twin boundary layers. Numerical illustrations are provided to demonstrate the theoretical estimates.
Details
Keywords
The purpose of this study is to construct and analyze a parameter uniform higher-order scheme for singularly perturbed delay parabolic problem (SPDPP) of convection-diffusion type…
Abstract
Purpose
The purpose of this study is to construct and analyze a parameter uniform higher-order scheme for singularly perturbed delay parabolic problem (SPDPP) of convection-diffusion type with a multiple interior turning point.
Design/methodology/approach
The authors construct a higher-order numerical method comprised of a hybrid scheme on a generalized Shishkin mesh in space variable and the implicit Euler method on a uniform mesh in the time variable. The hybrid scheme is a combination of simple upwind scheme and the central difference scheme.
Findings
The proposed method has a convergence rate of order
Originality/value
A class of SPDPPs of convection-diffusion type with a multiple interior turning point is studied in this paper. The exact solution of the considered class of problems exhibit two exponential boundary layers. The theoretical results are supported via conducting numerical experiments. The results obtained using the proposed scheme are also compared with the simple upwind scheme.
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Aradhana Vikas Gandhi, Ateeque Shaikh and Pratima Amol Sheorey
The purpose of this paper is to investigate the adoption and implementation of supply chain management practices (SCMPs) on supply chain performance (SCP) and firm performance…
Abstract
Purpose
The purpose of this paper is to investigate the adoption and implementation of supply chain management practices (SCMPs) on supply chain performance (SCP) and firm performance (FP) in the organized retail industry in a developing country like India.
Design/methodology/approach
An empirical study was conducted on a sample size of 125 responses collected from the supply chain heads of organized retail firms in India. A theoretical model was developed depicting the relationship between SCMPs, SCP and FP. The theoretical model was tested using mediating multiple regression analysis.
Findings
This research suggests that the SCMPs are positively related to SCP and FP. Customer relationship management and supplier relationship management are reported as the most important SCMPs, which had the maximum impact on the FP in the organized retailing context in India.
Research limitations/implications
The research employed perceptual performance measures. Future studies can use actual performance parameters like profit and sales growth to better quantify the benefits of SCM in this context.
Originality/value
This research is an attempt to empirically test the impact of SCMPs on FP in organized retailing context in an emerging market, India.
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Keywords
Deejaysing Jogee, Manta Devi Nowbuth, Virendra Proag and Jean-Luc Probst
It is now well-established that good water quality is associated with economic prosperity, reduced incidence on public health and the good functioning of the various ecosystems…
Abstract
It is now well-established that good water quality is associated with economic prosperity, reduced incidence on public health and the good functioning of the various ecosystems found in our environment. Water contamination is mostly related to both diffused (agricultural lands and geologic rock degradations) and point sources of pollution. Mauritius has many water resources which depend solely on precipitation for their replenishment. Water parameters which are of relevance include total dissolved solids (TDS), temperature, pH, electrical conductivity, turbidity, dissolved oxygen, dissolved and particulate organic carbon and major cations and anions. The traditional methods of analysis for these parameters are mostly using electrical and optical methods (probes and sensors in the field), while chemical titrations, Flame AAS and High-Performance Liquid Chromatography techniques are carried out in the laboratory. Image Classification techniques using neural networks can also be used to detect the presence of contaminants in water. In addition to basic water quality parameters, the field sensors range have been extended to cover important major ions and can now be integrated with Artificial Intelligence (AI)-based models for the prediction of variations in water quality to better protect human health and the environment, reduce operation costs of water and wastewater treatment plant unit processes.