Numerical Solution of Fourth order Integro-Differential Equations by Least Square Approximation Method using Chebyshev Polynomials as Basis Function

Simple item page
dc.contributor.authorAbubakar, Jos U.
dc.contributor.authorBello, K.A.
dc.contributor.authorTaiwo, O.A.
dc.contributor.authorOdetunde, O.S.
dc.contributor.authorAzeez, G.O.
dc.date.accessioned2023-05-23T11:21:37Z
dc.date.available2023-05-23T11:21:37Z
dc.date.issued2023-03
dc.description.abstractIn this paper, Least square approximation method is used as numerical solution of fourth order integro-differential equations using Chebyshev polynomials of the first kind as basis function. The method assumed an approximate solution using Chebyshev polynomial functions which are then substituted into the problem considered. Then the like terms of the unknown coefficients are collected and simplified. The resulting equation is minimized using the least square approximation, thus resulted into linear algebraic systems of equations which are then solved by Gaussian Elimination method, to obtain the unknown constants substituted back into the assumed approximate solution to get the required approximate solution. Numerical solutions are given to illustrate the accuracy of the methods discussed in the work. Also, absolute errors of the problem are presented in tabular forms.en_US
dc.identifier.issn2277-0011
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/10746
dc.language.isoenen_US
dc.publisherJOURNAL OF SCIENCE TECHNOLOGY AND EDUCATIONen_US
dc.relation.ispartofseries11;1
dc.subjectGaussian Elimination method, Least square method, Integro-Differential equationen_US
dc.titleNumerical Solution of Fourth order Integro-Differential Equations by Least Square Approximation Method using Chebyshev Polynomials as Basis Functionen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Numerical Solution of Fourth order Integro-Differential.pdf
Size:
586.23 KB
Format:
Adobe Portable Document Format
Description:
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