Spline Collocation-Interpolation Method for Linear and Nonlinear Cordial Volterra Integral Equations

DOI10.1080/01630563.2010.526412zbMath1215.65205OpenAlexW2020648078MaRDI QIDQ3083517

Gennadi Vainikko

Publication date: 22 March 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.526412

zbMATH Keywords

convergenceVolterra integral equationsspline collocationnonlinear operatorscordial Volterra operatorscollocation-interpolation methodsnon compact operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Linear integral equations (45A05)

Related Items

Spline collocation for nonlinear fractional boundary value problems ⋮ First Kind Cordial Volterra Integral Equations 1 ⋮ Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays ⋮ First Kind Cordial Volterra Integral Equations 2 ⋮ Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations ⋮ Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method ⋮ A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity ⋮ A computational approach for solving third kind VIEs by collocation method based on radial basis functions ⋮ Fractional collocation method for third-kind Volterra integral equations with nonsmooth solutions ⋮ On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient ⋮ Modified Euler's method with a graded mesh for a class of Volterra integral equations with weakly singular kernel ⋮ Composite quadrature rules for a class of weakly singular Volterra integral equations with noncompact kernels ⋮ Analysis of collocation methods for nonlinear Volterra integral equations of the third kind ⋮ Spectral Collocation Method for a Class of Integro-Differential Equations with Erdelyi-Kober Fractional Operator ⋮ Analysis of blow-up behavior of solutions to CVIEs ⋮ Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators ⋮ The Jacobi collocation method for a class of nonlinear Volterra integral equations with weakly singular kernel ⋮ Collocation methods for cordial Volterra integro-differential equations ⋮ Legendre-Galerkin methods for third kind VIEs and CVIEs ⋮ Theoretical and numerical analysis of third-kind auto-convolution Volterra integral equations ⋮ Cordial Volterra integral operators in spaces \(L^p(0,T)\) ⋮ Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels

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