Title of article :
Reconstructed variational iteration algorithm via third-kind shifted Chebyshev polynomials for the numerical solution of seventh-order boundary value problems
Author/Authors :
Ishola ، Christie Yemisi Department of Mathematics - National Open University Jabi Abuja , Raji ، Musiliu Tayo Department of Mathematics - Federal University of Agriculture , Olaosebikan ، Mutiu Lawal Department of Mathematics - Osun State University , Etuk ، Mfon Okon Department of Maths and Statistics - Federal Polytechnic Bida , Oladapo ، Asimiyu Olalekan Department of Mathematics - Osun State University , Victor ، Aduragbemi Adekunle Department of Mathematics - University of Ilorin
Abstract :
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.
Keywords :
Variational iteration algorithm , Boundary value problems , Shifted Chebyshev polynomials of the third kind , Approximate solutions
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
