Discrete septic spline quasi-interpolants for solving generalized Fredholm integral equation of the second kind via three degenerate kernel methods

DOI10.1007/s40096-017-0237-xzbMath1407.65327OpenAlexW2761355161WikidataQ59481362 ScholiaQ59481362MaRDI QIDQ1992067

Abdelaziz Mennouni, Saliha Zaouia

Publication date: 2 November 2018

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-017-0237-x

zbMATH Keywords

integral equationsquasi-interpolationseptic spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Spline approximation (41A15) Fredholm integral equations (45B05)

Cites Work

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• B-spline quasi-interpolation based numerical methods for some Sobolev type equations
• Solving Fredholm integral equations by approximating kernels by spline quasi-interpolants
• Quadratic spline collocation method for the time fractional subdiffusion equation
• Option pricing in jump diffusion models with quadratic spline collocation
• Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis
• Quadratic spline quasi-interpolants and collocation methods
• Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines
• An interpolation degenerate kernel method for eigenvalue problems of a class of non-compact operators
• The BS class of Hermite spline quasi-interpolants on nonuniform knot distributions
• Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines
• Degenerate kernel method for multi-variable Hammerstein equations
• Improving Petrov-Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them
• An initial-value method for Fredholm integral equations with generalized degenerate kernels
• Accelerated degenerate-kernel methods for linear integral equations
• Discrete superconvergent Nyström method for integral equations and eigenvalue problems
• Iteration methods for Fredholm integral equations of the second kind based on spline quasi-interpolants
• Direct computation method for solving a general nonlinear Fredholm integro-differential equation under the mixed conditions: degenerate and non-degenerate kernels
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Sextic spline solution of fifth-order boundary value problems
• Degenerate Kernel Method for Hammerstein Equations
• The Numerical Solution of Integral Equations of the Second Kind
• Linear integral equations

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