Qom University of TechnologyMathematics and Computational Sciences2717-27083420221201Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems556170085310.30511/mcs.2022.1974430.1096ENChristie YemisiIsholaDepartment of Mathematics, National Open University Jabi Abuja, NigeriaMusiliu TayoRajiDepartment of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, NigeriaMutiu LawalOlaosebikanDepartment of Mathematics, Osun State University, Osogbo, Osun State, NigeriaMfon OkonEtukDepartment of Maths and Statistics, Federal Polytechnic Bida, Bida, Nigeria.Asimiyu OlalekanOladapoDepartment of Mathematics, Osun State University, Osogbo, Osun State, NigeriaAduragbemi AdekunleVictorDepartment of Mathematics, University of Ilorin, Kwara State, NigeriaJournal Article20221126The variational iteration algorithm using shifted Chebyshev polynomials of the third kind was used to obtain the numerical solution of seventh order Boundary Value Problems(PVBs) in this paper. The proposed method is made by constructing the shifted Chebyshev polynomials of the third kind for the given boundary value problems and used as a basis functions for the approximation. Numerical examples where also given to show the efficiency and reliability of the proposed method. Calculations were performed using maple 18 software.http://mcs.qut.ac.ir/article_700853_2268c07627c68a0185748474ceccc514.pdf