TY - JOUR
ID - 700853
TI - Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Ishola, Christie Yemisi
AU - Raji, Musiliu Tayo
AU - Olaosebikan, Mutiu Lawal
AU - Etuk, Mfon Okon
AU - Oladapo, Asimiyu Olalekan
AU - Victor, Aduragbemi Adekunle
AD - Department of Mathematics, National Open University Jabi Abuja, Nigeria
AD - Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria
AD - Department of Mathematics, Osun State University, Osogbo, Osun State, Nigeria
AD - Department of Maths and Statistics, Federal Polytechnic Bida, Bida, Nigeria.
AD - Department of Mathematics, University of Ilorin, Kwara State, Nigeria
Y1 - 2022
PY - 2022
VL - 3
IS - 4
SP - 55
EP - 61
KW - Variational iteration algorithm
KW - Boundary value problems
KW - Shifted Chebyshev polynomials of the third kind
KW - Approximate solutions
DO - 10.30511/mcs.2022.1974430.1096
N2 - The 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.
UR - http://mcs.qut.ac.ir/article_700853.html
L1 - http://mcs.qut.ac.ir/article_700853_2268c07627c68a0185748474ceccc514.pdf
ER -