%0 Journal Article %T Derivation of the Modified Bi-quintic B-spline Base Functions: An Application to Poisson Equation %J American Journal of Computational and Applied Mathematics %@ 2165-8943 %D 2013 %I %R 10.5923/j.ajcam.20130301.05 %X In this paper, the bi-quintic B-spline base functions have been modified on a general two dimensional problem. A special form of the two dimensional problem has been considered as its application and has been solved by the Galerkin finite element method using the modified bi-quintic B-spline base functions. The computed results obtained by the present method have also been compared with the results available in the literature. %K Galerkin Finite Element Method %K Bi-quintic B-splines %K Two-dimensional B-splines %K Modified bi-quintic B-splines %K Two-dimensional Poisson Equation %U http://article.sapub.org/10.5923.j.ajcam.20130301.05.html