Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems

DOI10.1016/0898-1221(92)90005-3zbMath0763.65053OpenAlexW2031092662MaRDI QIDQ1205902

S. Namasivayam, Eduardo L. Ortiz, Mohamed K. El-Daou

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90005-3

zbMATH Keywords

Galerkin methoderror estimatesnumerical examplesTau methodlinear second order differential equationeffect of perturbations

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) Error bounds for numerical methods for ordinary differential equations (65L70) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Differential equations with locally perturbed coefficients: High order error estimates for function and derivative ⋮ Some remarks on structural relations between the tau method and the finite element method ⋮ Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term ⋮ A recursive formulation of collocation in terms of canonical polynomials

Cites Work

• Unnamed Item
• A new method for the solution of the Schrödinger equation
• Numerical solution of Mathieu's equation
• Local Piecewise Polynomial Projection Methods for an O.D.E. Which Give High-Order Convergence at Knots
• Solving Linear Boundary Value Problems by Approximating the Coefficients
• The Tau Method
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation

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