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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

ABSTRACT

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

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ISSN: 2635-3342 (Print)

ISSN: 2635-3350 (Online)

DOI: In progress

ISI Impact Factor: In progress

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