International Journal of Mathematics Trends and Technology
Volume 57 | Number 5 | Year 2018 | Article Id. IJMTT-V57P546 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P546
In This paper we proposed a Four-Step Block- method of Hybrid Linear Multistep Method derived by collocation and interpolation technique with power series as basis function for direct solution of special third order initial value problem of ordinary differential equation. The basic properties of the block, which include consistency, Zero Stable, order, error constant and region of absolute stability were analysed. From the analysis the block derived was found to be Consistent, Zero stable, convergent and A-stable. Also, the block- method was tested on some numerical examples and the result computed shows the derived block method is more accurate than some existing methods considered in this paper.
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K. O. Lawal , Y. A. Yahaya , S. D. Yakubu, "Four-Step Block Method for Solving Third Order Ordinary Differential Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 5, pp. 331-344, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P546
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