|
|
 |
| |
|
|
|
Modified shifted Chebyshev residual spectral scheme for even-order BVPs |
|
|
|
PP: 15-18 |
|
|
|
doi:10.18576/msl/120102
|
|
|
|
Author(s) |
|
|
|
Dina Abdelhamied,
M. Abdelhakem,
M. El-Kady,
Y. H. Youssri,
|
|
|
|
Abstract |
|
|
| This paper aims to determine approximate numerical solutions for various linear and nonlinear even-order boundary value problems. The proposed method relies on a direct numerical technique utilizing modified shifted first-kind Chebyshev polynomials. By expressing an approximate solution as a finite sum of polynomials with unknown coefficients, we aim to derive an approximation that satisfies the given boundary conditions. Various linear and nonlinear even-order boundary-value problems have been solved. The obtained results were compared with the other methods. The comparisons showed the efficiency and accuracy of the introduced scheme.
|
|
|
|
|
|
|
|
