scientific article; zbMATH DE number 7430704

zbMath1474.34108MaRDI QIDQ5860422

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Publication date: 19 November 2021

Full work available at URL: https://ojs.ictp.it/jnms/index.php/jnms/article/view/91

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zbMATH Keywords

Chebyshev polynomialsordinary differential equations (ODEs)Lanczos tau methodcanonical polynomial

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Some remarks on structural relations between the tau method and the finite element method
• Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Error estimation in the numerical solution of ODE with the Tau method
• A Tau method based on non-uniform space-time elements for the numerical simulation of solitons
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• A recursive formulation of Galerkin's method in terms of the tau method: Bounded and unbounded domains
• Numerical treatment of moving and free boundary value problems with the tau method
• Error analysis of the Tau method: Dependence of the error on the degree and on the length of the interval of approximation
• Error propagation of general linear methods for ordinary differential equations
• On error estimation in general linear methods for stiff ODEs
• Newton-Kantorovich method and its global convergence
• Numerical solution of the general form linear Fredholm-Volterra integro-differential equations by the tau method with an error estimation
• On the generalization of the error and error estimation process of Ortiz’s recursive formulation of the tau method
• Extension of generalized recursive Tau method to non-linear ordinary differential equations
• A GENERALIZED SCHEME FOR THE NUMERICAL SOLUTION OF INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS BY THE RECURSIVE FORMULATION OF TAU METHOD
• The Tau Method
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