|International Journal of Computer Applications
|Foundation of Computer Science (FCS), NY, USA
|Volume 77 - Number 17
|Year of Publication: 2013
|Authors: K. N. S. Kasi Viswanadham, Sreenivasulu Ballem
K. N. S. Kasi Viswanadham, Sreenivasulu Ballem . Numerical Solution of Fifth Order Boundary Value Problems by Galerkin Method with Quartic B-splines. International Journal of Computer Applications. 77, 17 ( September 2013), 7-12. DOI=10.5120/13613-1382
A finite element method involving Galerkin method with quartic B-splines as basis functions has been developed to solve a general fifth order boundary value problem. The basis functions are redefined into a new set of basis functions which vanish on the boundary where Dirichlet type of boundary conditions and Neumann boundary conditions are prescribed. The proposed method was applied to solve several examples of fifth order linear and nonlinear boundary value problems. The solution of a non-linear boundary value problem has been obtained as the limit of a sequence of solution of linear boundary value problems generated by quasilinearization technique. The obtained numerical results are compared with the exact solutions available in the literature.