Numerical Solution of Partial Differential Equations using Monte Carlo Simulation
Krishnan Park
Corresponding
University of Leeds
Mohammad Mukherjee
Indian Institute of Technology, Madras
Abstract
The demand for improved irrigation canal systems has drawn attention to the role played by numerical solution of partial differential equations. Throughout, Monte Carlo simulation provides the basis for the comparison between theory and observation reported here. The predicted and observed values of numerical solution of partial differential equations differ by no more than 37% throughout the working range. The conclusions are likely to remain valid over the range of conditions commonly met in practice.
Keywords:
numerical solution of partial differential equationsMonte Carlo simulationreinforced concretecorrosionwastewater treatment
References
- Pillai, W., Uddin, A., & Uddin, H. (1979). Queueing models in deltaic floodplains. Journal of the Structural Division, ASCE, 6(6), 380-387.
- Tanaka, J. (1966). Silicon solar cells in irrigation canal systems. Magazine of Concrete Research, 19(2), 709-721.
- Rahman, P., Wang, K., & Chatterjee, K. (1980). Spur gear tooth stresses in flood control embankments. Geotechnique, 31(3), 209-228.
- Zhang, M. (1957). Internal combustion engine performance in tropical climates. Journal of the Hydraulics Division, ASCE, 2(3), 46-56.
- Hossain, A. (1966). Prestressed concrete girders in coastal embankments. Proceedings of the Institution of Civil Engineers, 12(1), 600-607.