Muhammad, R.

Department of Mathematics and Statistics, Federal University of Technology, Minna, Nigeria.

r.muhd@futminna.edu.ng

2 Publications

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Publications 2

Research Article Vol. 32, Issue 2

Development of an Order (k+3) Block-Hybrid Linear Multistep Method for the Direct Solution of General Second Order Initial Value Problems

A. A. Oyedeji^*

Block hybrid linear multistep method was proposed to overcome the Dahlquist order barrier for linear multistep methods. We are interested in answering questions relating to the convergence, accuracy and effectiveness of block hybrid method when utilized to solve Initial Value Problems. In this research work, we presented an order (k+3) block hybrid...

DOI: 10.67897/njma.2022.w50onxdb

Dec, 2022 Vol. 32, Issue 2 2 views 3 downloads

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Research Article Vol. 23, Issue 1

DERIVATION AND ANALYSIS OF BLOCK IMPLICIT HYBRID BACKWARD DIFFERENTIATION FORMULAE FOR STIFF PROBLEMS

MUHAMMAD, R.^*, Y. A. Yahaya, L. Idris

The Hybrid Backward Differentiation Formula (HBDF) for the case k = 3 was reformulated into continuous form using the idea of multistep collocation. The continuous form wasevaluated at some grid and of grid points, which gave rise to discrete schemes employed as block methods for direct solution of the first-order ordinary differential equation y0 ...

DOI: 10.67897/njma.2014.262fmksb

Jun, 2014 Vol. 23, Issue 1 4 views 4 downloads

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