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Analytical and Numerical Methods for Volterra Equations

https://doi.org/10.1137/1.9781611970852
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Initial and boundary value problem of fuzzy fractional-order nonlinear Volterra integro-differential equations
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Solving higher-order nonlinear Volterra integro-differential equations using two discretization methods
inferred← citeshttps://doi.org/10.1007/s12190-024-02092-6openalex-snapshot
Nonlinear Volterra integro-differential equations incorporating a delay term using Picard iterated method
inferred← citeshttps://doi.org/10.1007/s12190-024-02138-9openalex-snapshot
Boubaker operational matrix method for solving fractional weakly singular two-dimensional partial Volterra integral equation
inferred← citeshttps://doi.org/10.1007/s12190-025-02586-xopenalex-snapshot
Postprocessing techniques of the $$C^0$$- and $$C^1$$-continuous Petrov-Galerkin methods for second-order Volterra integro-differential equations
inferred← citeshttps://doi.org/10.1007/s12190-025-02588-9openalex-snapshot
Reproducing kernel neural networks for nonlinear integro-differential equations
inferred← citeshttps://doi.org/10.1007/s12190-026-02867-zopenalex-snapshot
A stable and efficient numerical scheme for Hammerstein-Volterra integral equations using multinode shepard operators
inferred← citeshttps://doi.org/10.1007/s13540-022-00063-xopenalex-snapshot
Numerical scheme for Erdélyi–Kober fractional diffusion equation using Galerkin–Hermite method
inferred← citeshttps://doi.org/10.1007/s13540-022-00070-yopenalex-snapshot
A fractional version of the recursive Tau method for solving a general class of Abel-Volterra integral equations systems
inferred← citeshttps://doi.org/10.1007/s13540-025-00423-3openalex-snapshot
A computationally efficient numerical scheme for the solution of fourth-order time fractional partial integro-differential equation
inferred← citeshttps://doi.org/10.1007/s13540-026-00514-9openalex-snapshot
Barenblatt solutions for the time-fractional porous medium equation: approach via integral equations
inferred← citeshttps://doi.org/10.1007/s40096-017-0212-6openalex-snapshot
Universal approximation method for the solution of integral equations
inferred← citeshttps://doi.org/10.1007/s40096-018-0249-1openalex-snapshot
Using of Bernstein spectral Galerkin method for solving of weakly singular Volterra–Fredholm integral equations
inferred← citeshttps://doi.org/10.1007/s40096-020-00336-7openalex-snapshot
An approximate solution of bivariate nonlinear Fredholm integral equations using hybrid block-pulse functions with Chebyshev polynomials
inferred← citeshttps://doi.org/10.1007/s40314-013-0063-1openalex-snapshot
A stopping rule for an iterative algorithm in systems of integral equations
inferred← citeshttps://doi.org/10.1007/s40314-018-0597-3openalex-snapshot
Analytical and numerical study for an integro-differential nonlinear volterra equation with weakly singular kernel
inferred← citeshttps://doi.org/10.1007/s40314-019-0806-8openalex-snapshot
General linear methods with large stability regions for Volterra integral equations
inferred← citeshttps://doi.org/10.1007/s40314-020-01235-2openalex-snapshot
On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term
inferred← citeshttps://doi.org/10.1007/s40314-020-01351-zopenalex-snapshot
Highly stable multistep Runge–Kutta methods for Volterra integral equations
inferred← citeshttps://doi.org/10.1007/s40314-020-01399-xopenalex-snapshot
Inverse source in two-parameter anomalous diffusion, numerical algorithms, and simulations over graded time meshes
inferred← citeshttps://doi.org/10.1007/s40314-020-1126-8openalex-snapshot
Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations
inferred← citeshttps://doi.org/10.1007/s40314-021-01743-9openalex-snapshot
On the mixed nonlinear integro-differential equations with weakly singular kernel
inferred← citeshttps://doi.org/10.1007/s40314-022-02155-zopenalex-snapshot
A block-by-block method for nonlinear variable-order fractional quadratic integral equations
inferred← citeshttps://doi.org/10.1007/s40314-024-02730-6openalex-snapshot
A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution
inferred← citeshttps://doi.org/10.1007/s40314-025-03299-4openalex-snapshot
A four-block scheme for nonlinear third-kind Volterra integral equations
inferred← citeshttps://doi.org/10.1007/s40314-026-03680-xopenalex-snapshot
On the convergence of collocation methods for Volterra–Riccati integral equations with weakly singular kernel
inferred← citeshttps://doi.org/10.1007/s40314-026-03769-3openalex-snapshot
hp-version $$C^1$$-CPG method with exponential convergence for weakly singular Volterra integro-differential equations
inferred← citeshttps://doi.org/10.1007/s40314-026-03821-2openalex-snapshot
Fractional discontinuous Galerkin methods for Volterra integro-differential equations with weakly singular kernels
inferred← citeshttps://doi.org/10.1007/s40808-015-0016-3openalex-snapshot
Simulation of the radiation fallout from gamma-ray measurements
inferred← citeshttps://doi.org/10.1007/s40819-025-01859-0openalex-snapshot
Two Dimensional Volterra Integrodifferential Equation of Heat Conduction and Diffusion Problems and Its Numerical Solutions
inferred← citeshttps://doi.org/10.1007/s40995-019-00783-5openalex-snapshot
Numerical Solution of Functional Volterra–Hammerstein Integro-differential Equations of Order Two
inferred← citeshttps://doi.org/10.1007/s40995-023-01446-2openalex-snapshot
An Iterative Scheme for Solving Arbitrary-Order Nonlinear Volterra Integro-Differential Equations Involving Delay
inferred← citeshttps://doi.org/10.1007/s41478-023-00593-4openalex-snapshot
An iterative difference scheme for solving arbitrary order nonlinear Volterra integro-differential population growth model
inferred← citeshttps://doi.org/10.1007/s44426-026-00041-3openalex-snapshot
Analysis of a nonlinear delay integro-differential equation involving weakly singular kernels
inferred← citeshttps://doi.org/10.1016/0022-247x(92)90213-wopenalex-snapshot
Unique solvability of nonlinear Volterra equations in weighted spaces
inferred← citeshttps://doi.org/10.1016/0022-4073(91)90098-bopenalex-snapshot
Computational attributes of the integral form of the equation of transfer
inferred← citeshttps://doi.org/10.1016/0022-460x(91)90636-xopenalex-snapshot
Travelling load response of an axially moving string
inferred← citeshttps://doi.org/10.1016/0045-7825(94)90001-9openalex-snapshot
Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids
inferred← citeshttps://doi.org/10.1016/0094-114x(95)00036-xopenalex-snapshot
Manipulator control design using a nonparametric method
inferred← citeshttps://doi.org/10.1016/0096-3003(92)90080-kopenalex-snapshot
The nonlinear cooling of a semi-infinite solid—implicit Runge-Kutta (IRK) methods
inferred← citeshttps://doi.org/10.1016/0096-3003(93)90045-gopenalex-snapshot
Higher order methods for solving Volterra integrodifferential equations of the first kind
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