Order-optimal methods for integro-differential equations in the singular case

DOI10.1134/S0012266116090123zbMath1359.65306MaRDI QIDQ507717

Nazim S. Gabbasov

Publication date: 7 February 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

error estimateintegro-differential equationspline methodsgeneralised functionsgeneralised polygonal methodparabolic spline subdomain method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Linear integral equations (45A05)

Related Items (3)

Special versions of the collocation method for integro-differential equations in the singular case ⋮ On the approximate solution of integro-differential equations with a degenerate coefficient ⋮ Generalized collocation method for integro-differential equations in an exceptional case

Cites Work

• Direct methods for solving integro-differential equations in the singular case
• New version of the collocation method for integro-differential equations in a special case
• New versions of spline methods for a class of integro-differential equations
• Special versions of the subdomain method for integro-differential equations in the singular case
• Linear Integral Equations of the Third Kind
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