Comparative study of collocation method Spline collocation and Finite Difference method for solving ground water recharge problem

  P.B.Choksi,  A.K.Pathak

This paper provides an overview of the formulation, analysis and implementation of Spline collocation and finite difference method for the numerical solution of partial differential equation with two space variable which is of parabolic type. The method includes the solution of non-linear equation which can be expressed as in matrix form. The use of spline collocation methods in the solution of initial-boundary value problems for parabolic-type system id described, with emphasis on alternating direction implicit methods. Problem of vertical groundwater recharge solve by spline collocation and finite difference method. Solution is compared with spline collocation and finite difference method.

Keywords- Spline collocation, Finite Difference Method, Partial differential equation.

Unique Identification Number - IJEDR1802055
Page Number(s) - 312-313
Pubished in - Volume 6 | Issue 2 | April 2018
DOI (Digital Object Identifier) -   
Publisher - IJEDR (ISSN - 2321-9939)

  P.B.Choksi,  A.K.Pathak,   "Comparative study of collocation method Spline collocation and Finite Difference method for solving ground water recharge problem", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.6, Issue 2, pp.312-313, April 2018, Available at :http://www.ijedr.org/papers/IJEDR1802055.pdf