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Hybrid difference schemes for a system of singularly perturbed convection-diffusion equations
R. Mythili Priyadharshini,N. Ramanujam,A. Tamilselvan 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results. In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.
D. Mythili,R. Murugesan,S. Christian Johnson 한양대학교 청정에너지연구소 2024 Journal of Ceramic Processing Research Vol.25 No.4
Concrete has unique properties to make things in any shape. However, the strength of the concrete to support is weakin tension and good in compression. To improve the tension force carrying capacity, the concrete might get some fibrousmaterial as additional reinforcement in concrete. This addition can improve the load-carrying capacity, uniform stress &strain distribution to the entire cross-section, good bonding of ingredients, etc. This research paper deals with glass andbasalt fiber in mono and hybrid form in M30-grade concrete. The glass and basalt fiber of 1.5% volume fraction possessesgood behaviour in mechanical properties tests in mono form. When it is hybridization, 0.75% of each fibers combination hasgood strength in mechanical properties. The compressive strength has been increased up to 11%, tensile strength capacityhas been increased up to 12.5% and the modulus of rupture has been increased by about 17.4% due to the hybridization offibers. Similarly, the static load proves the specimen with fibers has a better resistance against the applied load and has lessdeflection corresponding to the ultimate load. The stress-strain behaviour obeys Hook law. The durability behaviour of theconcrete specimen also has been improved. The performance assessments taken into account for the hybrid fibre reinforcedconcrete mixes are as follows: modulus of rupture, flexural behaviour of beams, split tensile strength, acid, sulphate, andchloride attack resistance. These parameters assess the mechanical and durability properties of the concrete mixes.
R. Mythili Priyadharshini,N. Ramanujam 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.3
In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter -uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results. In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter -uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.
Priyadharshini, R. Mythili,Ramanujam, N.,Valanarasu, T. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
We consider a mixed type singularly perturbed one dimensional elliptic problem with discontinuous source term. The domain under consideration is partitioned into two subdomains. A convection-diffusion and a reaction-diffusion type equations are posed on the first and second subdomains respectively. Two hybrid difference schemes on Shishkin mesh are constructed and we prove that the schemes are almost second order convergence in the maximum norm independent of the diffusion parameter. Error bounds for the numerical solution and its numerical derivative are established. Numerical results are presented which support the theoretical results.
HYBRID DIFFERENCE SCHEMES FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS
Priyadharshini, R.Mythili,Ramanujam, N.,Tamilselvan, A. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.
Priyadharshini, R. Mythili,Ramanujam, N. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.3
In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter-uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.
Resilience and stress in frontline social workers during the COVID‐19 pandemic in Singapore
Seng Boon Kheng,Subramaniam Mythily,Chung You Jin,Syed Ahmad Syed Ahmad Mahdi,Chong Siow Ann 한국사회복지학회 2021 Asian Social Work and Policy Review Vol.15 No.3
As social work under normal circumstances is already a stress-laden helping profession, this study intended to examine the level of psychological distress among the frontline social workers during the COVID-19 pandemic and whether resilience and organizational support played a part in mitigating their psychological distress. Frontline social workers from various social service sectors across Singapore were surveyed using two standardized measurements to assess resilience (Connor-Davidson Resilience Scale 25) and psychological distress (Depression Anxiety and Stress Scale 21). A self-designed questionnaire comprising 10 items measured “personal” and “work-related” support at the organization. Sociodemographic data were captured using a structured questionnaire. The results showed that the frontline social workers, although resilient, were psychologically distressed in all the three areas of depression, anxiety and stress. The results indicated that those working in the Family Service Centers (FSC) were the most affected. Significant correlations were observed between psychological distress, resilience, and organizational support. Organizations must be mindful that support can help frontline staff who are usually younger and less experienced during challenging times such as the pandemic. Building the resilience of social workers will prepare them for their daily challenges and those that accompany unexpected situations.