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Abstract

We deployed a numerical method to solve a twelfth order BVP’s in terms of finite element Galerkin approach with the sextic B-splines as basis functions. The basis functions have been redefined into another set of basis functions, governing approximate solution satisfies given boundary conditions. To know the efficiency of the proposed numerical method, we have been examined the numerical scheme by applying this scheme on some twelfth order linear and nonlinear BVP’s and these results compare with the exact solution available in the literature.

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Keywords

Galerkin method, Sextic B-spline, Basis function, Twelfth order BVP’s.