Construction of nu-orthogonal polynomials and its implementation on di erential equation

Abstract

In this paper, we construct some orthogonal polynomials using weight function of Jacobi polynomial P_j(alpha,beta )(x),j>0 with alpha and beta >-1, by varying the values of alpha and beta. . The obtained polynomials were used respect to each weight functions to obtain the approximate solutions to an ordinary differential equations via recursive formulation analogue to the tau method. The effectiveness and accuracy of the scheme were tested on some selected problems and the signfi cant of the proposed technique as it give the same degree of accuracy with results obtained using recursive tau method.