A new B-spline collocation method for singular integro-differential equations of higher orders

DOI10.1016/j.cam.2020.112949zbMath1452.65415OpenAlexW3023380598WikidataQ115359749 ScholiaQ115359749MaRDI QIDQ2186906

Anna Y. Zemlyanova, Alexia Machina

Publication date: 10 June 2020

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

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112949

zbMATH Keywords

singular integro-differential equationsB-spline methodsfracture problemSteigmann-Ogden surface energy

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear elasticity with initial stresses (74B10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Integral equations with kernels of Cauchy type (45E05)

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An Axisymmetric Problem for a Patch Loaded Material Surface Attached to the Boundary of an Elastic Semi-space ⋮ Interaction of Multiple Plane Straight Fractures in the Presence of the Steigmann--Ogden Surface Energy ⋮ Algorithm 1023: Restoration of Function by Integrals with Cubic Integral Smoothing Spline in R ⋮ Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary ⋮ Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

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