DERIVATION OF THREE VARIANTS OF ?-METHOD FOR THE CLASS OF NON-OVER DETERMINED ORDINARY DIFFERENTIAL EQUATIONS
Authors: Badeggi A.Y, Ma’ali A.I, Abubakar A, Abubakar A.W, Mohammed U
This paper compared the three variants of the tau methods, namely the differential, integrated and the recursive form for the initial value problems in non-over determined ordinary differential equations. The fifth degree approximant for the three variants of the tau methods was derived and their corresponding error estimations were obtained. The numerical examples confirms that the order of the approximants was accurately captured and the integrated form performed better than the other two variants.
Affiliations: Department of Mathematics and Computer Science, Ibrahim Badamasi Babangida University, Lapai Niger State, Nigeria
Keywords: Differential, Integrated, Recursive, Tau Method, Non-over Determined
Published date: 2017/06/30