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

DOI10.1007/S40314-022-01940-0OpenAlexW4285987761WikidataQ114219272 ScholiaQ114219272MaRDI QIDQ2167391

Yanyan Li

Publication date: 25 August 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01940-0

zbMATH Keywords

MHDCOVID-19monic Chebyshev polynomialspseudospectral differentiation matricesconvergence and error analysishigher-order IVPs and BVPs

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Other special orthogonal polynomials and functions (33C47)

Related Items (2)

Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators

Cites Work

• Unnamed Item
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• Solving directly special fourth-order ordinary differential equations using Runge-Kutta type method
• The coefficients of differentiated expansions and derivatives of ultraspherical polynomials
• Variable mesh polynomial spline discretization for solving higher order nonlinear singular boundary value problems
• Differential transformation technique for solving higher-order initial value problems
• Analysis of general unified MHD boundary-layer flow of a viscous fluid -- a novel numerical approach through wavelets
• Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems
• Effect of delay in diagnosis on transmission of COVID-19
• Numerical study for Carreau nanofluid flow over a convectively heated nonlinear stretching surface with chemically reactive species
• Lyapunov functions for fractional-order systems in biology: methods and applications
• Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems
• Hierarchical cascade model leading to 7-th order initial value problem
• The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations
• Higher order pseudospectral differentiation matrices
• Computational Methods in Engineering: A Variety ofPrimal & Mixed Methods, with Global & LocalInterpolations, for Well-Posed or Ill-Posed BCs
• Spectral Methods
• Spectral Differencing with a Twist
• A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials
• SHIFTED LEGENDRE FRACTIONAL PSEUDOSPECTRAL DIFFERENTIATION MATRICES FOR SOLVING FRACTIONAL DIFFERENTIAL PROBLEMS

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