Title of article :
Numerical solution of eight order boundary value problems using Chebyshev polynomials
Author/Authors :
Raji ، Musiliu Tayo Department of Mathematics - Federal University of Agriculture , Ishola ، Christie Yemisi Department of Mathematics - National Open University , Babalola ، Olayemi Olutola Department of Mathematics and Statistics - Osun State College of Technology Esa Oke , Ayoola ، Tawakalt Abosede Department of Mathematics - Osun State University , Momoh ، Nasiru Muhammed Department of Mathematics - Federal University of Technology Minna , Peter ، Olumuyiwa James Department of Mathematical and Computer Sciences - University of Medical Sciences
Abstract :
First-kind Chebyshev polynomials are used as the basis functions in this study to present the approximations to the eighth-order boundary-value problems. The problem is reduced using the suggested approach into a set of linear algebraic equations, which are then solved to determine the unknown constants. To demonstrate the application and effectiveness of the strategy, analytical results are provided using tables and graphs for three examples. The results obtained using the proposed method reveal that it is simple and outperforms comparable solutions in the literature.
Keywords :
First kind Chebyshev polynomials , Boundary value problems , collocation , Approximate Solution
Journal title :
Mathematics and Computational Sciences
Journal title :
Mathematics and Computational Sciences
