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Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems

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Date

2022

Authors

Abdelhakem, M.
Ahmed, A.
Baleanu, D.
El-Kady, M.

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Abstract

We introduce new differentiation matrices based on the pseudospectral collocation method. Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation matrices (D-matrices). Those matrices have been used to approximate the solutions of higher-order ordinary differential equations (H-ODEs). Two techniques will be used in this work. The first technique is a direct approximation of the H-ODE. While the second technique depends on transforming the H-ODE into a system of lower order ODEs. We discuss the error analysis of these D-matrices in-depth. Also, the approximation and truncation error convergence have been presented to improve the error analysis. Some numerical test fun

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Convergence and Error Analysis, COVID-19, Higher-Order IVPs and BVPs, MHD, Monic Chebyshev Polynomials, Pseudospectral Differentiation Matrices

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Abdelhakem M.;...et.al. (2022). "Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems", Computational and Applied Mathematics, Vol.41,No.6.

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Computational and Applied Mathematics

Volume

41

Issue

6

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