Integrated Collocation Approximation Methods for Solving High Order Ordinary Differential Equations

Simple item page
dc.contributor.authorAyinla, Ally Yeketi
dc.contributor.authorOgunniran, Muhyideen O.
dc.contributor.authorOdetunde, Opeyemi
dc.date.accessioned2023-05-09T14:20:05Z
dc.date.available2023-05-09T14:20:05Z
dc.date.issued2017-09
dc.description.abstractThis work deals with integrated collocation approximation methods for solving high order ordinary differential equations by Chebyshev polynomials and power series bases functions. The assumed approximate solution in terms of Chebyshev polynomials and power series are substituted into the general high order ordinary differential equations considered. Thus, after simplification, the resulting equation is then collocated for both cases and thus resulted into algebraic linear system of equations which are then solved by Mathematica 5.2 to obtain the unknown constants involved in the approximate solution. The methods are illustrated on three examples. The results obtained in terms of absolute errors are tabulated for comparison. From the tables of results, we observed that Chebyshev polynomials approximation gives better result for all cases of N (i.e. the degree of approximant) in the work.en_US
dc.identifier.citationAyinla A.Y., Ogunniran M.O. and Odetunde O.en_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/9808
dc.language.isoenen_US
dc.publisherJournal of the Nigerian Association of Mathematical Physicsen_US
dc.relation.ispartofseries43;
dc.subjectIntegrated Collocationen_US
dc.subjectChebyshev Polynomialen_US
dc.subjectPower Seriesen_US
dc.titleIntegrated Collocation Approximation Methods for Solving High Order Ordinary Differential Equationsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Integrated Collocation Approximation Methods for Solving High Order Ordinary Differential Equations.pdf
Size:
2.27 MB
Format:
Adobe Portable Document Format
Description:
Main article
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections