International Journal of Mathematics Trends and Technology
Volume 68 | Issue 7 | Year 2022 | Article Id. IJMTT-V68I7P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I7P503
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 01 Jun 2022 | 09 Jul 2022 | 12 Jul 2022 | 18 Jul 2022 |
This paper investigates B-Spline Collocation Solution for Burgers’ equation arising in longitudinal dispersion phenomenon in the fluid flow through porous media. In the porous medium clean water, saltwater or tainted water disperse longitudinal way offers to increase to a non-linear partial differential condition as Burgers’ equation. The equation is solved by utilizing the B-Spline Collocation method with suitable initial and boundary conditions. The issue of miscible displacement can be found in the seaside territories, where new water beds are step by step uprooted via ocean water. An unequivocally steady B-spline Collocation method has been utilized to discover the concentration C(X,T) of salty or polluted water dispersion in uni-direction. It is completed, that the concentration C(X,T) reduce as distance X just as time T increments. The tables and figures are created by utilizing MATLAB coding.
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Nilesh Sonara, Dr. D C Joshi, Dr. N B Desai, "B-Spline Collocation Solution for Burgers’ equation arising in Longitudinal Dispersion Phenomena in Fluid Flow through Porous," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 7, pp. 13-20, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I7P503
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