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V. Shanthi,N. Ramanujam,S. Natesan 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
A robust numerical method for a singularly perturbed second– order ordinary differential equation having two parameters with a discontinuous source term is presented in this article. Theoretical bounds are derived for the derivatives of the solution and its smooth and singular components. An appropriate piecewise uniform mesh is constructed, and classical upwind finite difference schemes are used on this mesh to obtain the discrete system of equations. Parameter–uniform error bounds for the numerical approximations are established. Numerical results are provided to illustrate the convergence of the numerical approximations.
Shanthi, V.,Ramanujam, N.,Natesan, S. 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1
A robust numerical method for a singularly perturbed second-order ordinary differential equation having two parameters with a discontinuous source term is presented in this article. Theoretical bounds are derived for the derivatives of the solution and its smooth and singular components. An appropriate piecewise uniform mesh is constructed, and classical upwind finite difference schemes are used on this mesh to obtain the discrete system of equations. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are provided to illustrate the convergence of the numerical approximations.
Trihalomethane formation potential of drinking water sources in a rural location
Rajamohan, R.,Ebenezer, Vinitha,Rajesh, Puspalata,Venugopalan, V.P.,Natesan, Usha,Murugesan, V.,Narasimhan, S.V. Techno-Press 2012 Advances in environmental research Vol.1 No.3
Trihalomethanes, produced as a result of chlorination of drinking water, are considered a potential health hazard. The trihalomethane formation potential (THMFP) of a raw water source may indicate the maximum trihalomethanes (THMs) that are likely to be produced when chlorine reacts with natural organic matter (NOM) present in the water. A study was conducted to evaluate the THMFP in seven different drinking water sources in the vicinity of Kalpakkam, a rural township, on the east coast of India. Water from seven stations were analysed for THMFP. THMFP was compared with surrogate parameters such as dissolved organic carbon (DOC), ultraviolet absorbance ($UV_{254}$) and bromide. The data showed that THMFP was high in water from open wells as compared to closed bore wells, possibly due to more photosynthetic activity. Proximity to sea, and consequently the levels of bromide, was an important factor that influenced THM formation. THM surrogate parameters showed good correlation with THMFP.