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- W4310816694 abstract "The pseudo-spectral method is used as a technique to employ the first derivative of the well-known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss- Lobatto quadrature weights (FDLs-GLQWs) and zeros (FDLs-GLQZs) have been calculated. Consequently, a matrix for differentiation (D-matrix) and another for integration (B-matrix) have been created. To solve several types of ordinary differential problems (ODPs), BVPs, integro–differential equations (IDEs), optimal control problems (OCPs), we designed three algorithms that relied on those matrices. Each algorithm for each type. The convergence of the designed algorithms has been verified theoretically by the error analysis. Finally, the proposed algorithms are applied to several numerical examples." @default.
- W4310816694 created "2022-12-18" @default.
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- W4310816694 creator A5051646373 @default.
- W4310816694 date "2023-03-01" @default.
- W4310816694 modified "2023-09-30" @default.
- W4310816694 title "Pseudo-spectral matrices as a numerical tool for dealing BVPs, based on Legendre polynomials’ derivatives" @default.
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- W4310816694 doi "https://doi.org/10.1016/j.aej.2022.11.006" @default.
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