Numerical solution of ninth order boundary value problems by Galerkin method with Sextic B-Splines

The ninth order Problems related to boundary values and with Conditions at the boundaries have been solved using a Finite Element Approach utilizing the Galerkin Finite Element method with Sextic B-Splines (SBS) as basis functions. The basis functions (BF) are changed to an entirely new set of BF that vanishes under nearly all BC. Numerous boundary value problems (BVP) in linear and nonlinear models of the ninth order were solved using the suggested strategy. The quasilineariza-tion technique (QLT) has been used to solve a nonlinear BVP (NLBVP). It was discovered that the derived numerical results were in good agreement with the exact solutions that were published.