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Modified shifted Chebyshev residual spectral scheme for even-order BVPs |
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PP: 15-18 |
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doi:10.18576/msl/120102
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Author(s) |
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Dina Abdelhamied,
M. Abdelhakem,
M. El-Kady,
Y. H. Youssri,
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Abstract |
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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.
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