The reproducing kernel method for solving the system of the linear Volterra integral equations with variable coefficients

DOI10.1016/J.CAM.2011.11.026zbMath1239.65086OpenAlexW2020498805MaRDI QIDQ765292

Ji-Hong Shen, Li-Hong Yang, Yue Wang

Publication date: 19 March 2012

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.2011.11.026

zbMATH Keywords

reproducing kernel methodsystem of linear Volterra integral equations

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) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items (15)

Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients ⋮ Piecewise spectral collocation method for system of Volterra integral equations ⋮ Numerical solution of Volterra integral-algebraic equations using block pulse functions ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique ⋮ Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions ⋮ Solutions of integral equations by reproducing kernel Hilbert space method ⋮ Reproducing kernel Hilbert space method for solving Bratu's problem ⋮ Modified reproducing kernel method for singularly perturbed boundary value problems with a delay ⋮ 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 ⋮ Unnamed Item ⋮ Solving system of second-order BVPs using a new algorithm based on reproducing kernel Hilbert space ⋮ Solving delay differential equations by an accurate method with interpolation ⋮ Unnamed Item

Cites Work

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