Solving the Solution to the River Flow Problem which caused due to Dumping of Plastic wastes into the Rivers by using Nonlinear Method of Characteristics

Vezhopalu; Dr. Gitumani Sarma

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P516

Solving the Solution to the River Flow Problem which caused due to Dumping of Plastic wastes into the Rivers by using Nonlinear Method of Characteristics

Vezhopalu, Dr. Gitumani Sarma

Citation :

Vezhopalu, Dr. Gitumani Sarma, "Solving the Solution to the River Flow Problem which caused due to Dumping of Plastic wastes into the Rivers by using Nonlinear Method of Characteristics," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 127-134, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P516

Abstract

We have discussed in this paper how to solve river flow problems by applying the method of characteristics including conservation of plastics. We studied a nonlinear method of characteristics to model the flow dynamics in all simulations presented here. Actually, characteristicsmethod or technique is another way to solve partial differential equations of nonlinear problem, an example of a conservation law .We introduced river flow problem as a nonlinear hyperbolic equation and deal with its solution. We consider the number of plastics particles and their floating density in a river channel by using the relationship between flow rate, density and velocity.

Keywords

River flow problem, Flow rate, Method of characteristics, River velocity, Plastics density

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