The exact solution of a class of Volterra integral equation with weakly singular kernel

DOI10.1016/j.amc.2011.02.059zbMath1216.65182OpenAlexW2057448978MaRDI QIDQ535446

Zhong Chen, Wei Jiang

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.059

zbMATH Keywords

numerical examplessmooth solutionreproducing kernel methodweakly singular Volterra integral equationsinfinite set of solutionsweighted integral

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method ⋮ A high order convergence collocation method based on the reproducing kernel for general interface problems ⋮ A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel ⋮ Calculation of the reproducing kernel on the reproducing kernel space with weighted integral ⋮ A continuous method for nonlocal functional differential equations with delayed or advanced arguments ⋮ Some error estimates for solving Volterra integral equations by using the reproducing kernel method ⋮ Error analysis of reproducing kernel Hilbert space method for solving functional integral equations

Cites Work

• Solving a nonlinear system of second order boundary value problems
• The exact solution of a linear integral equation with weakly singular kernel
• Superconvergence of collocation methods for a class of weakly singular Volterra integral equations
• Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
• Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
• Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels
• An extrapolation method for a Volterra integral equation with weakly singular kernel
• Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• How to solve the equation \(AuBu+Cu=f\).
• A Nyström interpolant for some weakly singular linear Volterra integral equations
• On a graded mesh method for a class of weakly singular Volterra integral equations
• The exact solution of nonlinear age-structured population model
• A new method for solving a class of singular two-point boundary value problems
• SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE
• A Hermite-Type Collocation Method for the Solution of an Integral Equation with a Certain Weakly Singular Kernel

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