Numerical Solutions of Eleventh Order Boundary Value Problems Using Piecewise Polynomials
نویسندگان
چکیده
The aim of this paper is to apply Galerkin weighted residual method for solving eleventh-order BVPs. In this method, we exploit Bernstein and Legendre polynomials as basis functions which are modified into to a new set of basis functions to satisfy the corresponding homogeneous form of boundary conditions where the essential types of boundary conditions are mentioned. The method is formulated as a rigorous matrix form. Examples of both linear and nonlinear BVPs are presented to illustrate the reliability and efficiency of the proposed method. It is observed that the present method is a more effective tool and yields better results.
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