Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis

systems numerical results error analysis asymptotic estimate collocation methods perturbed system harmonic oscillator Airy equation Tau method recursive formulation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (20)

Numerical treatment of differential equations with the \(\tau\)-method ⋮ Unnamed Item ⋮ Segmented tau approximation for test neutral functional differential equations ⋮ The performance of a Tau preconditioner on systems of ODEs ⋮ A Jacobi operational matrix for solving a fuzzy linear fractional differential equation ⋮ Parallel strategies for the step by step tau method ⋮ Segmented tau approximation for a forward-backward functional differential equation ⋮ Error estimation in the numerical solution of ODE with the Tau method ⋮ The automatic solution to systems of ordinary differential equations by the tau method ⋮ The number of extrema of the error function of a class of methods for differential equations ⋮ An operational matrix based on Legendre polynomials for solving fuzzy fractional-order differential equations ⋮ Canonical vector polynomials for the computation of complex order Bessel functions with the tau method ⋮ Application of fuzzy fractional kinetic equations to modelling of the acid hydrolysis reaction ⋮ Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation ⋮ Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method ⋮ Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method ⋮ Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method ⋮ Numerical solution of nonlinear partial differential equations with the Tau method ⋮ A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems ⋮ Numerical treatment of moving and free boundary value problems with the tau method

This page was built for publication: Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis