Abdelhakem, M.Ahmed, A.Baleanu, D.El-kady, M.Matematik2024-04-252024-04-252022Abdelhakem 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.6.2238-36031807-0302https://doi.org/10.1007/s40314-022-01940-0Abdelhakem, Mohamed/0000-0001-7085-1685We 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 functions and examples are illustrated to show the constructed D-matrices' efficiency and accuracy.eninfo:eu-repo/semantics/openAccessMonic Chebyshev PolynomialsPseudospectral Differentiation MatricesConvergence And Error AnalysisHigher-Order Ivps And BvpsMhdCovid-19Monic Chebyshev PolynomialsPseudospectral Differentiation MatricesConvergence And Error AnalysisHigher-Order Ivps And BvpsMhdCovid-19Article41610.1007/s40314-022-01940-02-s2.0-85137538066WOS:000828107400002Q1Q1