A GENERALIZED FORMULATION FOR INTEGRATED VARIANT OF TAU METHOD FOR OVERDETERMINED M-TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
Authors: Badeggi A.Y, Ma’ali A.I, Abubakar A, Abubakar A.W, Mohammed U
The tau method approximates the solution of a differential equation with a polynomial. This is the exact solution of a differential equation obtained by adding to the right hand side of the given equation a perturbation term, consisting of suitably chosen linear combination of polynomials. In this paper, a generalized formula or recurrence relation for the integrated variant of the tau method was derived which captures the general class of problems involving m-th order ordinary differential equations (ODEs) To validate this result, the generalized form was casted as a theorem for which mathematical induction principle was used to prove the result.
Affiliations: Department of Mathematics and Computer Science, Ibrahim Badamasi Babangida University, Lapai Niger State, Nigeria
Keywords: Integrated Formulation, Tau Method, Variant, Recurrence, Generalization
Published date: 2017/06/30