• COMPARATIVE STUDY OF HIGHER DEGREE SPLINE SOLUTIONS OF LINEAR SEVENTH ORDER BOUNDARY VALUE PROBLEMS

PARCHA KALYANI*, MIHRETU NIGATU LEMMA, DEJENE BEKELE FEYISA

Abstract


In this paper tenth degree spline approximations are developed following cubic spline Bickley’s procedure for the numerical solutions of linear boundary value problems of order seven. Two numerical examples have been considered to illustrate the efficiency and implementation of the method. Numerical solutions are computed at different step lengths and compared with exact solutions. Absolute errors are also calculated. The results are tabulated and pictorially illustrated. Further the results are compared with the methods developed in [10 and 11].


Keywords


Spines; Boundary value problems; Numerical results.

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