Quintic B-splines for a class of nonlinear fourth order PDE

Quintic b-spline basis functions have been found to be highly suitable for solving fourth-order partial differential equations. these basis functions possess the necessary smoothness and flexibility to accurately represent complex solutions. they offer advantages such as local support, compactness, and efficient computational implementation. in this paper, we use quantic b-spline basis functions to solve a class of nonlinear fourth order initial-boundary value problem. we show that our method work well. a numerical example is presented and we compare our proposed method with exact solution.