Spline quasi-interpolation numerical methods for integro-differential equations with weakly singular kernels

Numerical computation using splines (65D07) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Spline approximation (41A15) Fredholm integral equations (45B05)

Cites Work

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Multidimensional weakly singular integral equations
Construction of spherical spline quasi-interpolants based on blossoming
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients
Optimal order spline methods for nonlinear differential and integro-differential equations
The decomposition method applied to solve high-order linear Volterra-Fredholm integro-differential equations
A solution to a boundary-value problem for integro-differential equations with weakly singular kernels
An approximation solution of linear Fredholm integro-differential equation using collocation and Kantorovich methods
A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel
A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations
High accurate pseudo-spectral Galerkin scheme for pantograph type Volterra integro-differential equations with singular kernels
A Taylor collocation method for the approximate solution of general linear Fredholm-Volterra integro-difference equations with mixed argument
Spline collocation method for integro-differential equations with weakly singular kernels
Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
A practical guide to splines.
A feedforward neural network based on Legendre polynomial for solving linear Fredholm integro-differential equations

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