Analysis of the Generalized Inverse Polynomial Scheme to Initial Value Problems | Zendy

O. E. Abolarin | Zendy; Samuel W Akingbade | Zendy

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Analysis of the Generalized Inverse Polynomial Scheme to Initial Value Problems

Author(s) -

O. E. Abolarin,

Samuel W Akingbade

Publication year - 2018

Publication title -

fuoye journal of engineering and technology

Language(s) - English

Resource type - Journals

eISSN - 2579-0625

pISSN - 2579-0617

DOI - 10.46792/fuoyejet.v3i2.293

Subject(s) - mathematics , taylor series , generalization , consistency (knowledge bases) , convergence (economics) , polynomial , ordinary differential equation , inverse , scheme (mathematics) , series (stratigraphy) , stability (learning theory) , term (time) , value (mathematics) , differential equation , mathematical analysis , computer science , discrete mathematics , statistics , paleontology , physics , geometry , quantum mechanics , machine learning , economics , biology , economic growth

In this paper, we study the analysis of the generalized inverse polynomial scheme for the numerical solution of initial value problems of ordinary differential equation. At first, we generalize the scheme up to the fifth stage using the Binomial expansion and Taylor’s series method towards its derivation. The trend shows the generalization to the kth term. The analysis demonstrates the efficiency and the effectiveness of the generalized scheme. Keywords — Taylor’s Series, Initial Value Problem, Stability, Consistency, Convergence.

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