Solution of one-dimensional boundary value problem by using redlich-kister polynomial

• Main Authors: Mohd Norfadli Suardi, Jumat Sulaiman
• Format: Conference or Workshop Item
• Language: English; English
• Published: 2021
• Subjects: Q Science (General); QA Mathematics
• Online Access: https://eprints.ums.edu.my/id/eprint/30198/5/Solution%20of%20one-dimensional%20boundary%20value%20problem%20by%20using%20redlich-kister%20polynomial-%20Abstract.pdf; https://eprints.ums.edu.my/id/eprint/30198/2/Solution%20of%20One-Dimensional%20Boundary%20Value%20Problem%20by%20Using%20Redlich-Kister%20Polynomial.pdf; https://eprints.ums.edu.my/id/eprint/30198/; https://link.springer.com/chapter/10.1007%2F978-981-33-4069-5_40

In this paper, the Redlich-Kister (RK) polynomial interpolation have been formulated and analyzed in solving two-point boundary value problems (BVPs). The Redlich-Kister polynomial interpolation is tested with certain number of different sizes and compared with Cubic Trigonometry B-Spline Interpolation Method (CTBIM) and Power Polynomial (Power). To do that, the discretization process of BVPs by imposing the generated RK dense linear system. Then this dense linear system need to be solved via direct method to determine the approximate value of unknown coefficients in which these coefficient are used to form the RK approximation function. Based on the maximum norm (MaxNorm) and L2-Norm, the results showed that the solution by using the RK approximate function is the more accurate compared with CTBIM and Power methods.