B-SPLINE COLLOCATION SOLUTION FOR AN EQUATION ARISING IN INSTABILITY PHENOMENON

H. V. Chapani

Abstract: In the present paper numerical discusses a theoretical model for instability phenomenon in double phase flow through homogeneous porous medium. Relation between relative permeability and saturation has been considered based on earlier experiment. A governing nonlinear partial differential equation is solved by collocation method with cubic B-splines. To obtain the scheme of the equation the nonlinear term is approximated by Taylor series which leads to tridiagonal system and has been solved by well-known Thomas Algorithm. The Numerical solution is obtained by using MATLAB coding

Keywords: Darcy’s law, Taylor series, Saturation, Cubic B-splines

DOI: https://doi.org/10.15623/ijret.2015.0408003