A class of sixth order hybrid extended block backward differentiation formulae for computational solutions of first order delay differential equations

C. Chibuisi, B. O. Osu, S. A. Ihedioha, C. Olunkwa, E. E. Akpanibah, P. U. Uzoma

Abstract


In this paper, we established and carried-out the computational solution of some first order delay differential equations (DDEs) using hybrid extended backward differentiation formulae method in block forms without the application of interpolation techniques in determining the delay term. The discrete schemes were worked-out through the linear multistep collocation technique by matrix inversion approach from the continuous construction of each step number which clearly demonstrated the order and error constants, consistency, zero stability, convergence and region of absolute stability of this method after investigations. The results obtained after the implementation of this method validate that the lower step number integrated with hybrid extended future points performed better than the higher step numbers integrated with hybrid extended future points when compared with the exact solutions and other existing methods.

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Published: 2021-05-11

How to Cite this Article:

C. Chibuisi, B. O. Osu, S. A. Ihedioha, C. Olunkwa, E. E. Akpanibah, P. U. Uzoma, A class of sixth order hybrid extended block backward differentiation formulae for computational solutions of first order delay differential equations, J. Math. Comput. Sci., 11 (2021), 3496-3534

Copyright © 2021 C. Chibuisi, B. O. Osu, S. A. Ihedioha, C. Olunkwa, E. E. Akpanibah, P. U. Uzoma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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