Uniform convergence of the collocation method for Prandtl's Integro-differential equation

DOI10.1017/S1446181100011688zbMath0966.65117WikidataQ115335650 ScholiaQ115335650MaRDI QIDQ4511571

Giuliana Criscuolo, Maria Rosaria Capobianco, Uwe Luther, Peter Junghanns

Publication date: 2 August 2001

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

uniform convergencesingular integro-differential equationscollocation-quadrature methodPrandtl's integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Integral equations with kernels of Cauchy type (45E05)

Related Items (13)

Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Filtered integration rules for finite weighted Hilbert transforms ⋮ Quadrature methods for integro-differential equations of Prandtl's type in weighted spaces of continuous functions ⋮ A projection method for Volterra integral equations in weighted spaces of continuous functions ⋮ A numerical method for solving systems of hypersingular integro-differential equations ⋮ Some effective solutions for Prandtl's type integro‐differential equation ⋮ A collocation method for solving singular integro-differential equations ⋮ Newton methods for a class of nonlinear hypersingular integral equations ⋮ Numerical solution of a singular integral equation with Cauchy kernel in the plane contact problem ⋮ A review of linear and nonlinear Cauchy singular integral and integro-differential equations arising in mechanics ⋮ A polynomial collocation method for singular integro-differential equations in weighted spaces ⋮ Weakly singular linear Volterra integral equations: a Nyström method in weighted spaces of continuous functions ⋮ Numerical analysis for one-dimensional Cauchy singular integral equations

Cites Work

• A fast algorithm for Prandtl's integro-differential equation
• Cauchy singular integral equations in spaces of continuous functions and methods for their numerical solution
• Uniform convergence of derivatives of Lagrange interpolation
• A fast algorithm for solving the generalized airfoil equation
• Uniform convergence of a fast algorithm for Cauchy singular integral equations
• Numerical solution of periodic Fredholm integral equations of the second kind by means of attenuation factors
• The Stability and the Convergence of a Collocation Method for a Class of Cauchy Singular Integral Equations

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