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Tamilselvan, A.,Ramanujam, N.,Priyadharshini, R. Mythili,Valanarasu, T. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.1
In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with the mixed type boundary conditions is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.
Tamilselvan, A.,Ramanujam, N. The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper, a numerical method that uses standard finite difference scheme defined on Shishkin mesh for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results.
R. Tamilselvan,S. Periyasamy 대한기계학회 2022 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.36 No.4
Many researchers have successfully worked on developing new energy sources from renewable energy. Plant derived Ceiba pentandra and Mahua (CPM) blended biofuels is regarded as a suitable substitute fuel for compression ignition engines. The current study investigates experimentally, the impact of dual biofuel blends with diesel fuel at various compression ratios in a combustion ignition engine. Ceiba pentandra and Mahua biofuels were blended with regular fuel in the proportions of 10, 20, 30, and 40 percent by volume basis. The blended fuels were examined at various compression ratio under optimum loading conditions. The different blended fuels were tested under the compression ratios of 15-19 and the performance parameters were analyzed. Also the entire combustion process along with engine's exhaust pollutants were investigated further. The engine performance characteristics improvised at B20 bio-fuel blend at a compression ratio of 18 with full load conditions.
A. Tamilselvan,N. Ramanujam,R. Mythili Priyadharshini,T. Valanarasu 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
In this paper, a numerical method for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with the mixed type boundary conditions is presented. Parameter-uniform error bounds for the numerical solution and also to numerical derivative are established. Numerical results are provided to illustrate the theoretical results.
Estimation of Biomass and Carbon Stocks of Trees in Javadhu Hills, Eastern Ghats, India
Balaraman Tamilselvan,Thangavel Sekar,Munisamy Anbarashan 강원대학교 산림과학연구소 2021 Journal of Forest Science Vol.37 No.2
Tropical dry forests are one of the most threatened, widely distributed ecosystems in tropics and estimation of forest biomass is a crucial component of global carbon emission estimation. Therefore, the present study was aimed to quantify the biomass and carbon storage in trees on large scale (10, 1 ha plots) in the dry mixed evergreen forest of Javadhu forest of Eastern Ghats. Biomass of adult (≥10 cm DBH) trees was estimated by non-harvest methods. The total biomass of trees in this tropical dry mixed evergreen forest was ranged from 160.02 to 250.8 Mg/ha, with a mean of 202.04±24.64 Mg/ha. Among the 62 tree species enumerated, Memecylon umbellatum accumulated greater biomass and carbon stocks (24.29%) more than the other species in the 10 ha study plots. ANOVA revealed that there existed a significant variation in the total biomass and carbon stock among the three plant types (Evergreen, brevi-deciduous and deciduous (F (2, 17)=15.343, p<0.001). Basal area and density was significant positively correlated with aboveground biomass (R2 0.980; 0.680) while species richness exhibited negative correlation with above ground biomass (R2 0.167). Finding of present study may be interpreted as most of the trees in this forest are yet to be matured and there is a net addition to standing biomass leading to carbon storage.
A. Tamilselvan,N. Ramanujam 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.5
In this paper, a numerical method that uses standard finite difference scheme defined on Shishkin mesh for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results. In this paper, a numerical method that uses standard finite difference scheme defined on Shishkin mesh for a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results.
Muthusamy Tamilselvan,Thupakula Venkata Madhukar Sreekanth,유기수,김종훈 한국공업화학회 2021 Journal of Industrial and Engineering Chemistry Vol.93 No.-
Recently, aqueous zinc-ion batteries (AZIBs) have been gaining widespread academic interest in theenergy-storagefield owing to their high energy density, enhanced safety of electrochemical operation,and low cost, as well as the abundance of zinc on earth. The ammonium vanadate group containscompounds that are considered efficient energy-storage materials because they provide twodimensional(2D) layered structures with large interlayer distances that promote the intercalation ofmetal ions during electrochemical processes. Here, we report a hydrated form of ammonium vanadate(NH4)0.37V2O5 0.15(H2O) with a highly crystalline rose-like microstructure, which is used as the positiveelectrode material in AZIBs. The ammonium vanadate cathode delivered an initial capacity of 400 mA hg 1 with 2 M ZnSO4 at the current density of 0.5 Ag 1 in a voltage range from 0.2 V to 1.4 V vs Zn2+/Zn. At ahigher current density (10 A g 1), the material retained 84% of the initial discharge capacity after 1000cycles, while displaying an excellent rate capability. Cyclic voltammetry and ex-situ XRD and XPS areused to study the reaction mechanism of ammonium vanadate cathode in the AZIBs. Unlike otherammonium vanadate’s, (NH4)0.37V2O5 0.15(H2O) undergoes co-intercalation of Zn2+ and H+ along withwater molecules. There is no intermediate irreversible crystal phase formation during the discharge/charge cycles due to expandable interlaying distance. This report suggests that (NH4)0.37V2O5 0.15(H2O)can be an alternative highly stable cathode material for use in AZIBs, and it can be promising for theintercalation of the cathode in larger-sized metal-ion storage systems.
GEETHA, N.,TAMILSELVAN, A. The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.3
We have constructed a robust numerical method on Shishkin mesh for a class of convection diffusion type turning point problems with Robin type boundary conditions. Supremum norm is used to derive error estimates which is of order O($N^{-1}$ ln N). Theoretical results are verified by providing numerical examples.
Raja, Velusamy,Tamilselvan, Ayyadurai Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.3
A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.
SCHWARZ METHOD FOR SINGULARLY PERTURBED SECOND ORDER CONVECTION-DIFFUSION EQUATIONS
ROJA, J. CHRISTY,TAMILSELVAN, A. The Korean Society for Computational and Applied M 2018 Journal of applied mathematics & informatics Vol.36 No.3
In this paper, we have constructed an overlapping Schwarz method for singularly perturbed second order convection-diffusion equations. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the central finite difference scheme on a uniform mesh while on the non-layer region we use the mid-point difference scheme on a uniform mesh. It is shown that the numerical approximations which converge in the maximum norm to the exact solution. When appropriate subdomains are used, the numerical approximations generated from the method are shown to be first order convergent. Furthermore it is shown that, two iterations are sufficient to achieve the expected accuracy. Numerical examples are presented to support the theoretical results. The main advantages of this method used with the proposed scheme is it reduces iteration counts very much and easily identifies in which iteration the Schwarz iterate terminates.