FUW TRENDS IN SCIENCE & TECHNOLOGY JOURNAL
(A Peer Review Journal)
e–ISSN: 2408–5162; p–ISSN: 2048–5170
keywords: ADEM-B Orthogonal polynomials, algorithm, block method, collocation, interpolation, zero-stable
For many years, the choice of basis function to develop an algorithm has been to choose from the existing polynomials. In this work, a zero-stable continuous hybrid scheme which exactly integrates second order initial value problems in ordinary differential equations is constructed. A new class of polynomials with recursive formula is employed as trial function. Findings from the analysis of the scheme show that it is accurate, efficient and convergent as its solutions accurately produce analytical solutions
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