Stability and error analysis of the reproducing kernel Hilbert space method for the solution of weakly singular Volterra integral equation on graded mesh

DOI10.1016/j.apnum.2017.05.010zbMath1370.65075OpenAlexW2623186002MaRDI QIDQ2012629

Katayoun Mahdiani, Taher Lotfi, Hossein Beyrami

Publication date: 1 August 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.05.010

zbMATH Keywords

stabilityconvergenceregularizationnumerical exampleserror analysisgraded meshreproducing kernel methodsecond kind weakly singular Volterra integral equation

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) Integral equations with kernels of Cauchy type (45E05)

Related Items (9)

Numerical solution of integro-differential equations of high-order Fredholm by the simplified reproducing kernel method ⋮ A new reproducing kernel method for Duffing equations ⋮ Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method ⋮ Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method ⋮ Singular asymptotic expansion and Legendre collocation method for two-term weakly singular Volterra integral equation of the second kind ⋮ A numerical approach for solving the high-order nonlinear singular Emden-Fowler type equations ⋮ Smoothing transformation and collocation methods for third-kind linear Volterra integral equations ⋮ On the local superconvergence of the fully discretized multiprojection method for weakly singular Volterra integral equations of the second kind ⋮ Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate

Uses Software

• Octave

Cites Work

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