Please use this identifier to cite or link to this item: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/2860
Title: A UNIFORM ORDER CONTINUOUS HYBRID INTEGRATION FOR SOLVING THIRD ORDER ORDINARY DIFFRENTIAL EQUATIONS
Authors: Mohammed, Umaru
Ma'ali, Aliyu Ishaku
Adeniyi, Raphael Babatunde
Keywords: Collocation, ,
Interpolation
Power series approximant
Off-grid points
Grid points
Block methods
Issue Date: 4-May-2017
Publisher: Proceeding of School of Physical Sciences First Biennial International Conference
Citation: Umaru Mohammad, Aliyu Ishaku Ma’ali and Raphael Babatunde Adeniyi (2017) Uniform Order Continuous Hybrid Integration for Solving Third Order Ordinary Differential Equations Proceeding of School of Physical Sciences First Biennial International Conference. pp 269-288
Series/Report no.: ;269-288
Abstract: A three -step Continuous Block Hybrid Method (CBHM) with two non-step points of order (6,6,6,6,6) is proposed for direct solution of the special and general third order initial value problems (IVPs). The main method and additional methods are obtained from the same continuous schemes derived via interpolation and collocation procedures. The stability properties of the methods are discussed and the stability region shown. The methods are applied in block form as simultaneous numerical integrators over non-overlaping interval. The efficiency of the proposed method was tested and was found to compete favorable with the existing methods.
URI: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/2860
Appears in Collections:Mathematics

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