A long-term numerical groundwater quality assessment model using a modified fourth-order finite difference method with Saulyev scheme

References

• Minghua, Municipal soil waste management in Pudong New Area, Waste Manage 29: 1227-1233, 2009. doi: 10.1016/j.wasman.2008.07.016
   PubMed Web of Science ®Google Scholar
• Secretariat of the Basel Convention. Environment. 2013.
   Google Scholar
• Gourav Suthar, Rishabh Singh, R. K. Malik, Sakshi Gupta, Groundwater contamination from landfill leachates an analysis for developing countries (OAIJSE), Volume 2, Issue 9, 2017.
   Google Scholar
• Szymanski, K., Sidelko, R., Janowska, B. and Siebielska, I., Monitoring of waste landfills. Scientific Papers of the Faculty of Civil and Environmental Engineering 23: 75-133, 2007.
   Google Scholar
• Nagayama S, High energy efficiency thermal waste to energy plant for MSW recycling, Japan: JFE Engineering Corporation, 2010.
   Google Scholar
• Sadek S, EL-Fadel M. The Normandy landfill: a case study in soil waste management, J Nat Resources Life Sci Educ. 29: 61-155, 2000.
   Google Scholar
• Han, D. M., Tong, X. X., Jin, M. G., Hepburn, E., Tong, C. S., & Song, X. F. (2013). Evaluation of organic contamination in urban groundwater surrounding a municipal landfill, Zhoukou, China. Environmental Monitoring and Assessment, 185(4), 3414–3444. doi: 10.1007/s10661-012-2801-z
   Web of Science ®Google Scholar
• Li, Y., Li, J., Chen, S., & Diao, W. Establishing indices for groundwater contamination risk assessment in the vicinity of hazardous waste landfills in China. Environmental Pollution, 165, 77–90, 2012. doi: 10.1016/j.envpol.2011.12.042
   PubMed Web of Science ®Google Scholar
• Nowak, R., Wlodarczyk-Makula, M., Wiśniowska, E., & Grabczak, K. The comparison of the effectiveness of pre-treatment processes of landfill leachate. Annual Set The Environment Protection, 18, 122–133, 2016.
   Google Scholar
• Regadío, M., Ruiz, A. I., de Soto, I. S., Rodriguez Rastrero, M., Sánchez, N., Gismera, M. J., Sevilla, M. T., da Silva, P., Rodríguez Procopio, J., & Cuevas, J. Pollution profiles and physicochemical parameters in old uncontrolled landfills. Waste Management, 32(3), 482–497, 2012. doi: 10.1016/j.wasman.2011.11.008
   PubMed Web of Science ®Google Scholar
• Reyes-López, J. A., Ramírez-Hernández, J., Lázaro-Mancilla, O., Carreón-Diazcontia, C., & Martín-Loeches Garrido, M. Assessment of groundwater contamination by landfill leachate: a case in México. Waste Management, 28(1), 33–39, 2018.
   Google Scholar
• Mor S, Ravindra K, Dahiya RP, Chandra A. Leachate Characterization and assessment of groundwater pollution near municipal solid waste landfill site. Environ. Monit. Assess., 4: 325-334, 2006.
   Google Scholar
• Longe E.O., Balogun M.R.; Groundwater quality assessment near a municipal landfill, Lagos, Nigeria. Research Journal of Applied Sciences, Engineering and Technology, 2: 39–44, 2010.
   Google Scholar
• Ikem A., Osibanjo O., Sridhar M.K.C. Sobande A.: Evaluation of groundwater quality characteristics near two waste sites in Ibadan and Lagos, Nigeria. Water, Air, and Soil Pollution, 140: 307–333, 2002. doi: 10.1023/A:1020165403531
   Web of Science ®Google Scholar
• Kanmani S, Gandhimathi R. Assessmentofheavymetalcontamination in soil due to leachate migration from an open dumping site. Appl Water Sci., 3(1):193–205, 2012. doi: 10.1007/s13201-012-0072-z
   Google Scholar
• Kjeldsen P, Barlaz MA, Rooker AP, Baun A, Ledin A, Christensen TH. Present and Long-Term Composition of MSW Landfill Leachate: A Review. Crit Rev Environ Sci Technol., 32(4):297–336, 2002. doi: 10.1080/10643380290813462
   Web of Science ®Google Scholar
• Saarela J. Pilot investigations of surface parts of three closed landfills and factors affecting them. Environ Monitor Assess., 84:183– 92, 2003. doi: 10.1023/A:1022859718865
   PubMed Web of Science ®Google Scholar
• Abu-Rukah Y, Al-Kofahi O. The assessment of the effect of landfill leachate on ground-water quality—a case study. El-Akader landfill site—north Jordan. J Arid Environ., 49(3):615–30, 2001. doi: 10.1006/jare.2001.0796
   Web of Science ®Google Scholar
• Christensen TH, Kjeldsen P. Basic biochemical processes in landfills. NewYork: AcademicPress;1989.
   Google Scholar
• Lukmon Salami, Olaosebikan A. Olafadehan, Gutti Babagana, & Alfred A. Susu, Prediction of concentration Profiles of contaminants in groundwater polluted by leachates from a landfill site, IJRRAS 15(3):365-377, 2013.
   Google Scholar
• Rajkumar M, Ae N, Prasad MN, Freitas H. Potential of siderophoreproducing bacteria for improving heavy metal phytoextraction. Trends Bio Technol., 28(3):142–9, 2010. doi: 10.1016/j.tibtech.2009.12.002
   PubMed Web of Science ®Google Scholar
• Daabes, assessment of heavy metals and organics in municipal solid waste leachates from landfills with different ages, Journal of Environmental Protection, 4, 344-352, 2013.
   Google Scholar
• Deepanjan Majumdar, The blue baby syndrome, the Indian Academy of Sciences, 2003.
   Google Scholar
• Comly H. Cyanosis in infants caused by nitrates in well water, JAMA, 129:112-116, 1945. doi: 10.1001/jama.1945.02860360014004
   Web of Science ®Google Scholar
• Walton G. Survey of literature relating to infant methemoglobinemia due to nitrate-contaminated water. Am J Public Health, 41:987-995, 1951. doi: 10.2105/AJPH.41.8_Pt_1.986
   Web of Science ®Google Scholar
• Lynda Knobeloch, Barbara Salna, Adam Hogan, Jeffrey Postle, and Henry Anderson, Blue Babies and Nitrate-Contaminated Well Water, Grand Rounds in Environmental Medicine, Volume 108, 7: 675-678, 2000.
   Google Scholar
• A. Kumar, D.K, Jaiswal, N. Kumar, Analytical solutions to one- dimensional advection-diffusion equation whit variable coefficients in semi-infinite media, J. Hydrol. 380, 330-337, 2010. doi: 10.1016/j.jhydrol.2009.11.008
   Web of Science ®Google Scholar
• Li, G, Jackson, CR: Simple, accurate and efficient revisions to MacCormack and Saulyev schemes: high Peclet numbers. Appl. Math. Comput. 186, 610-622, 2007.
   Web of Science ®Google Scholar
• Lingyu Li, Ziwen Jiang, and Zhe Yin, Fourth-order compact finite difference method for solving two-dimensional convection–diffusion equation, Li et al. Advances in Difference Equations, 234, 2018.
   Google Scholar
• Pochai, N, Tangmanee, S, Crane, LJ, Miller, JJH, A water quality computation in the uniform channel, J. Interdiscip. Math. 11, 803-814, 2008. doi: 10.1080/09720502.2008.10700602
   Google Scholar
• Pochai, N, A numerical computation of non-dimensional form of stream water quality model with hydrodynamic advection- dispersion-reaction equation. Nonlinear Anal. Hybrid Syst. 13, 666- 673, 2009. doi: 10.1016/j.nahs.2009.06.003
   Google Scholar
• Yule, D. F. and W. R. Gardner, Longitudinal and transverse dispersion coefficients in unsaturated Plainfield sand, Water Resource. Res., Vol.14, pp.582-588, 1978. doi: 10.1029/WR014i004p00582
   Web of Science ®Google Scholar
• Pongnu, N. and Pochai, N. Numerical simulation of groundwater measurement using alternating direction methods, Journal of Interdisciplinary Mathematics 20 (2017):513–541. doi: 10.1080/09720502.2016.1188468
   Web of Science ®Google Scholar
• Svetislav Savović, Alexander Djordjevich, Finite difference solution of the one-dimensional advection-diffusion equation with variable coefficients in semi-infinite media, International Journal of Heat and Mass Transfer, 55, 4291-4294, 2012. doi: 10.1016/j.ijheatmasstransfer.2012.03.073
   Web of Science ®Google Scholar
• Pochai, N, Unconditional stable numerical techniques for a water- quality model in a non-uniform flow stream. Advances in Difference Equations, 2017.
   Web of Science ®Google Scholar
• J.D. Anderson, Computational Fluid Dynamics, McGraw-hill, New York, 1995.
   Google Scholar
• Guraslan, G, Karahan, H, Alkaya, D, Sari, M, Yasar, M: Numerical solution of advection-diffusion equation using a sixth-order compact finite difference method, Math. Probl. Eng, 672936, 1-7, 2013. doi: 10.1155/2013/672936
   Google Scholar
• Szymkiewicz, R, Solution of the advection-diffusion equation using the spline function and finite elements, Common. Numer. Methods Eng, 9, 197-206, 1993 doi: 10.1002/cnm.1640090304
   Google Scholar
• Bradie, B, A Friendly introduction to Numerical Analysis, Prentice Hall, New York 2005.
   Google Scholar
• Kumari, P., Gupta, N.C. and Kaur, A., A Review of Groundwater Pollution Potential Threats from Municipal Solid Waste Landfill Sites: Assessing the Impact on Human Health, Avicenna Journal of Environmental Health Engineering, 4(1), 2017. doi: 10.5812/ajehe.11525
   Google Scholar
• Akinbile, C.O., Environmental impact of landfill on groundwater quality and agricultural soils in Nigeria. Soil and Water Research. 7, 18-26, 2012. doi: 10.17221/4/2011-SWR
   Web of Science ®Google Scholar