NUMERICAL SOLUTIONS OF FIFTH ORDER BOUNDARY VALUE PROBLEMS USING MAMADU-NJOSEH POLYNOMIALS

I.N. Njoseh, E.J. Mamadu

Abstract


Mamadu-Njoseh polynomials are polynomials constructed in the interval [-1,1] with respect to the weight function . This paper aims at applying these polynomials, as trial functions satisfying the boundary conditions, in a numerical approach for the solution of fifth order boundary value problems. For this, these polynomials map the interval [0,1] to the interval [-1,1] bijectively, implying these polynomials are orthogonal in [0,1]. Numerical experiments are performed for both linear and nonlinear boundary value problems to verify the accuracy of the proposed method. Results obtained are compared with those of B-spline function method available in the literature.


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