Numerical solutions of a class of singular neutral functional differential equations on graded meshes

DOI10.1216/JIE-2018-30-3-447zbMath1404.65329MaRDI QIDQ1624193

Pedro Perez-Nagera, Janos Turi

Publication date: 15 November 2018

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1541668121

zbMATH Keywords

rate of convergenceweakly singular kernelsgraded meshessingular neutral equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Neutral functional-differential equations (34K40) Volterra integral equations (45D05)

Cites Work

• Unnamed Item
• On neutral functional differential equations with nonatomic difference operator
• Abel integral equations. Analysis and applications
• Introduction to functional differential equations
• On well-posedness of integro-differential equations in weighted \(L^ 2\)- spaces
• On well-posedness of singular neutral equations in the state space \(C\)
• Singularity expansion for a class of neutral equations
• Linear Functional Differential Equations as Semigroups on Product Spaces
• The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
• Numerical Methods for a Class of Singular Integro-Differential Equations Based on Semigroup Approximation
• A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels
• Collocation Methods for Volterra Integral and Related Functional Differential Equations

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