Please use this identifier to cite or link to this item: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/6301
Title: Construction of Block Hybrid Backward Differentiation Formula for some Classes of Second Order Initial Value Problems
Authors: Hussaini, Alhassan
Muhammad, Raihanatu
Keywords: Block Hybrid Backward Differentiation formula
second order IVPs
collocation and interpolation
convergence
Issue Date: 2021
Publisher: Department of Mathematics, School of Physical Sciences (SPS), Federal University of Technology, Minna
Citation: Hussaini A and R.Muhammad (2021)” Construction of Block Hybrid Backward Differentiation Formula for some Classes of Second Order Initial Value Problems” Proceedings of the International Conference On Contemporary Developments In Mathematical Sciences, Department of Mathematics, Federal University of Technology Minna, Nigeria. 109-119
Abstract: This paper focuses on the derivation of a 2-step block hybrid backward differentiation formula for the general solution of second order ordinary differential equations. The new method was derived using the procedure of collocation and interpolation of power series at some selected grid and off-grid points. Basic properties of the method were examined and the method found to be zero stable, consistent and convergent. The method was tested on some classes of second order initial value problems and on comparing with the exact solutions, the method performed accurately with relatively small errors.
URI: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/6301
Appears in Collections:Mathematics

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