Singular perturbation solution of a class of singular integral equations

DOI10.1090/qam/1079917zbMath0726.45005OpenAlexW2520216548MaRDI QIDQ3350150

Sia Nemat-Nasser, John R. Willis

Publication date: 1990

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1079917

zbMATH Keywords

singular integral equationsasymptotic solutionssmall parameterasymptotic limitsingular perturbation solution

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Singular nonlinear integral equations (45G05)

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Fredholm-Volterra integral equation with singular kernel. ⋮ Chelyshkov collocation method for solving the two-dimensional Fredholm-Volterra integral equations ⋮ On the numerical treatment of the singular integral equation of the second kind ⋮ Newton methods for a class of nonlinear hypersingular integral equations ⋮ Bezier curves for solving Fredholm integral equations of the second kind ⋮ Rigorous results on the asymptotic solutions of singularly perturbed nonlinear Volterra integral equations ⋮ Crack patterns in thin films ⋮ A fiber-bridged crack with rate-dependent bridging forces ⋮ The self-force and effective mass of a generally accelerating dislocation. I: Screw dislocation ⋮ On asymptotic methods for Fredholm-Volterra integral equation of the second kind in contact problems ⋮ Hybrid function method for solving Fredholm and Volterra integral equations of the second kind ⋮ Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations

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