Abdelhakem, M.Ahmed, A.Baleanu, D.El-Kady, M.2024-04-252024-04-252022Abdelhakem 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.6.22383603http://hdl.handle.net/20.500.12416/7955We 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 funeninfo:eu-repo/semantics/openAccessConvergence and Error AnalysisCOVID-19Higher-Order IVPs and BVPsMHDMonic Chebyshev PolynomialsPseudospectral Differentiation MatricesArticle41610.1007/s40314-022-01940-0