B-Spline Collocation Solution of One Dimensional Nonlinear Differential Equation Arising in Homogeneous Porous Media
Main Article Content
Abstract
This paper investigates the Numerical solution nonlinear partial differential equation for one dimensional instability
phenomenon known as Boussinesq's equation arising in a porous media in oil-water displacement treatment (instability). Its
Numerical Solution has been acquired by utilizing B-Spline method with proper boundary and initial conditions. The Numerical
solution of Boussinesq's equation using Spline method is very nearer to Exact Solution obtained by analytical method .It is
surmise that when distance and time increases, its saturation of injected water is increases . Numerical solution and graphical
illustration has been obtained by Matlab.
Downloads
Metrics
Article Details
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
