Found 282 Documents (Results 1–100)
A Nyström method based on product integration for weakly singular Volterra integral equations with variable exponent. (English) Zbl 07901806
MSC:
65R20
Multiquadric quasi-interpolation method for fractional integral-differential equations. (English) Zbl 07924334
Mean square stability of the split-step theta method for non-linear time-changed stochastic differential equations. (English) Zbl 07916309
Structure preserving FEM for the perturbed wave equation of quantum mechanics. (English) Zbl 07903706
High-rate convergent multistep collocation techniques to a first-kind Volterra integral equation along with the proportional vanishing delay. (English) Zbl 07901881
Sharp error bounds for a fractional collocation method for weakly singular Volterra integral equations with variable exponent. (English) Zbl 07900959
Postprocessing technique of the discontinuous Galerkin method for solving delay differential equations. (English) Zbl 07895386
An integral discretization scheme on a graded mesh for a fractional differential equation with integral boundary conditions. (English) Zbl 07887317
Integral-algebraic equations with variable limits of integration. The case when the lower limit is at. (English) Zbl 07885885
Collocation methods for nonlinear Volterra integral equations with oscillatory kernel. (English) Zbl 07885871
Superconvergence analysis of an anisotropic nonconforming FEM for parabolic equation. (English) Zbl 07881070
Numerical methods for highly oscillatory Volterra integral equations with general oscillators. (English) Zbl 07881059
Double weakly singular kernels in stochastic Volterra integral equations with application to the rough Heston model. (English) Zbl 07879830
A collocation method for an RLC fractional derivative two-point boundary value problem with a singular solution. (English) Zbl 07856746
Numerical schemes for a class of singular fractional integro-differential equations. (English) Zbl 1540.65557
Optimal error estimates of nonconforming Wilson element for nonlinear nonlocal parabolic problems. (English) Zbl 07853315
Galerkin spectral method for linear second-kind Volterra integral equations with weakly singular kernels on large intervals. (English) Zbl 1539.65205
A new method of solving the Riesz fractional advection-dispersion equation with nonsmooth solution. (English) Zbl 07850547
An \(\alpha\)-robust error analysis of the \(\overline{\mathrm{L}1}\) scheme for time-fractional integro-differential initial-boundary value problems. (English) Zbl 07839890
Solve Riemann-Liouville boundary value problems using collocation boundary value methods with the graded mesh. (English) Zbl 1536.65076
Numerical and analytical findings on the Volterra integral-algebraic index-1 system with vanishing delays. (English) Zbl 07832804
Weakly singular Volterra integral equation with combined logarithmic-power-law kernel: analytical and computational consideration. (English) Zbl 1535.65316
Singularity separation Chebyshev collocation method for weakly singular Volterra integral equations of the second kind. (English) Zbl 1535.65318
On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1. (English) Zbl 1534.65269
On a mixed Galerkin method for semi-explicit index-1 integro-differential algebraic equations. (English) Zbl 07803450
A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1531.65134
High order solution to exterior 3D wave equation by the method of difference potentials. (English) Zbl 07927637
Melenk, Jens M. (ed.) et al., Spectral and high order methods for partial differential equations ICOSAHOM 2020+1. Selected papers from the ICOSAHOM conference, Vienna, Austria, July 12–16, 2021. Cham: Springer. Lect. Notes Comput. Sci. Eng. 137, 455-467 (2023).
Application of quadratic pressure drop condition in hydroelastic analysis of floating structures protected by perforated barrier. (English) Zbl 1537.76103
High order approximations of solutions to initial value problems for linear fractional integro-differential equations. (English) Zbl 1537.45005
Explicit Richardson extrapolation methods and their analyses for solving two-dimensional nonlinear wave equation with delays. (English) Zbl 1531.65103
Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments of advanced type. (English) Zbl 1538.65347
A class of one-parameter alternating direction implicit methods for two-dimensional wave equations with discrete and distributed time-variable delays. (English) Zbl 1531.65123
Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments. (English) Zbl 1535.65183
Convergence analysis of multi-step collocation method to solve generalized auto-convolution Volterra integral equations. (Russian. English summary) Zbl 1527.65141
An efficient and robust numerical solver for impulsive control of fractional chaotic systems. (English) Zbl 1530.65070
Superconvergence and postprocessing of collocation methods for fractional differential equations. (English) Zbl 1530.65187
A numerical algorithm for solving index-1 weakly singular integral-algebraic equations with non-smooth solutions. (English) Zbl 07744450
MSC:
65Rxx
A collocation method based on roots of Chebyshev polynomial for solving Volterra integral equations of the second kind. (English) Zbl 1525.65141
An error estimation of a Nyström type method for integral-algebraic equations of index-1. (English) Zbl 1522.65262
Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces. (English) Zbl 1529.65136
Continuous piecewise polynomial collocation methods for generalized auto-convolution Volterra integral equations. (English) Zbl 07714669
MSC:
65R20
Collocation based approximations for a class of fractional boundary value problems. (English) Zbl 1514.65204
Singular stochastic Volterra integral equations with Mittag-Leffler kernels: well-posedness and strong convergence of \(\theta\)-Maruyama method. (English) Zbl 1524.45038
High-order convergence of multistep collocation methods for nonstandard Volterra integral equations. (English) Zbl 1524.65977
A high-order compact difference method and its Richardson extrapolation for semi-linear reaction-diffusion equations with piecewise continuous argument in diffusion term. (English) Zbl 1540.65296
On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. (English) Zbl 1540.65440
Numerical solution of multi-dimensional Itô Volterra integral equations by the second kind Chebyshev wavelets and parallel computing process. (English) Zbl 07701073
Numerical solutions of nonlinear delay integro-differential equations using Haar wavelet collocation method. (English) Zbl 07700485
Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods. (English) Zbl 1515.65243
Stability of the analytic solution and the partially truncated Euler-Maruyama method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. (English) Zbl 1524.65048
An efficient algorithm based on the pseudospectral method for solving Abel’s integral equation using Hermite cubic spline scaling bases. (English) Zbl 07699017
Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers’ equation. (English) Zbl 07698995
Convergence and asymptotic stability of the BDF schemes for the nonlocal partial differential equations with delay. (English) Zbl 07698948
A viscoelastic Timoshenko beam model: regularity and numerical approximation. (English) Zbl 07698863
Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations. (English) Zbl 1524.65989
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. (English) Zbl 1512.65306
On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case. (English) Zbl 07690474
Reviewer: Robert Plato (Siegen)
Convergence and stability of an explicit method for autonomous time-changed stochastic differential equations with super-linear coefficients. (English) Zbl 1524.60130
A modified Euler-Maruyama method for Riemann-Liouville stochastic fractional integro-differential equations. (English) Zbl 07677415
Fast \(\theta\)-Maruyama scheme for stochastic Volterra integral equations of convolution type: mean-square stability and strong convergence analysis. (English) Zbl 1538.65013
Fast Euler-Maruyama method for weakly singular stochastic Volterra integral equations with variable exponent. (English) Zbl 1511.65012
Linear B-spline finite element method for solving delay reaction diffusion equation. (English) Zbl 1524.65576
Finite element approximation for Maxwell’s equations with Debye memory under a nonlinear boundary feedback with delay. (English) Zbl 1505.65297
The backward Euler-Maruyama method for invariant measures of stochastic differential equations with super-linear coefficients. (English) Zbl 07630327
Multistep collocation methods for integral-algebraic equations with non-vanishing delays. (English) Zbl 1540.65548
Stochastic Volterra integral equations with doubly singular kernels and their numerical solutions. (English) Zbl 1524.65033
Spectral collocation method for Caputo fractional multi-point value problems. (Chinese. English summary) Zbl 07822708
MSC:
65M70
A sharp error estimate of Euler-Maruyama method for stochastic Volterra integral equations. (English) Zbl 1527.65007
Convergence and stability of spectral collocation method for hyperbolic partial differential equation with piecewise continuous arguments. (English) Zbl 1513.65401
On systems of integro-differential and integral equations with identically singular matrix multiplying the principal part. (English. Russian original) Zbl 1501.65156
Differ. Equ. 58, No. 9, 1217-1224 (2022); translation from Differ. Uravn. 58, No. 9, 1226-1233 (2022).
Stochastic fractional integro-differential equations with weakly singular kernels: well-posedness and Euler-Maruyama approximation. (English) Zbl 1504.65011
Discontinuous piecewise polynomial collocation methods for integral-algebraic equations of Hessenberg type. (English) Zbl 1513.65521
Stability and convergence of the canonical Euler splitting method for nonlinear composite stiff functional differential-algebraic equations. (English) Zbl 1513.65209
A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels. (English) Zbl 1501.65160
Delay-dependent elliptic reconstruction and optimal \(L^\infty (L^2)\) a posteriori error estimates for fully discrete delay parabolic problems. (English) Zbl 1506.65141
Reviewer: Abdullah Erdoğan (Lake Worth)
Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations. (English) Zbl 1498.65114
Exponential convergence of \(hp\)-discontinuous Galerkin method for nonlinear Caputo fractional differential equations. (English) Zbl 1492.65356
Efficient numerical calculation of frequency-domain matching method based on an analytical control surface. (English) Zbl 1521.76742
High asymptotic order methods for highly oscillatory integral equations with trigonometric kernels. (English) Zbl 1502.65286
Higher order Galerkin finite element method for the generalized diffusion PDE with delay. (English) Zbl 1513.65372
An a priori error analysis of the \(hp\)-version of the \(C^0\)-continuous Petrov-Galerkin method for nonlinear second-order delay differential equations. (English) Zbl 1513.65259
Central part interpolation schemes for a class of fractional initial value problems. (English) Zbl 1491.65173
A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions. (English) Zbl 1492.65232
An effective finite element method with shifted fractional powers bases for fractional boundary value problems. (English) Zbl 1496.65092
On discontinuous and continuous approximations to second-kind Volterra integral equations. (English) Zbl 1499.65754
Analysis of collocation methods for a class of third-kind auto-convolution Volterra integral equations. (English) Zbl 1540.65561
Unconditional optimal error estimates of a modified finite element fully discrete scheme for the complex Ginzburg-Landau equation. (English) Zbl 1524.65615
Existence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanics. (English) Zbl 07534934
Solving integral-algebraic equations with non-vanishing delays by Legendre polynomials. (English) Zbl 1503.65321
Discontinuous Galerkin approximations to second-kind Volterra integral equations with weakly singular kernel. (English) Zbl 1492.65365
Splitting extrapolation algorithms for solving linear delay Volterra integral equations with a spatial variable. (English) Zbl 1502.65284
Strong convergence of the Euler-Maruyama method for a class of stochastic Volterra integral equations. (English) Zbl 1499.65342
Strong convergence of the Euler-Maruyama method for nonlinear stochastic Volterra integral equations with time-dependent delay. (English) Zbl 1499.65019
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