Found 74 Documents (Results 1–74)
A parameter-uniform hybrid scheme designed for multi-point boundary value problems that are perturbed. (English) Zbl 07914744
A fitted approximate method for solving singularly perturbed Volterra-Fredholm integrodifferential equations with integral boundary condition. (English) Zbl 07895107
Ukr. Math. J. 76, No. 1, 122-140 (2024) and Ukr. Mat. Zh. 76, No. 1, 115-131 (2024).
The solution for singularly perturbed differential-difference equation with boundary layers at both ends by a numerical integration method. (English) Zbl 07860035
Numerical scheme for singularly perturbed Fredholm integro-differential equations with non-local boundary conditions. (English) Zbl 07853472
A numerical technique for solving nonlinear singularly perturbed Fredholm integro-differential equations. (English) Zbl 1540.65566
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term. (English) Zbl 07827787
MSC:
65Mxx
A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method. (English) Zbl 1531.65282
Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method. (English) Zbl 1519.65034
A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions. (English) Zbl 1534.65270
A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations. (English) Zbl 1531.65287
A novel uniform numerical approach to solve a singularly perturbed Volterra integro-differential equation. (English) Zbl 1542.65079
Reviewer: Pierluigi Maponi (Camerino)
Linearized compact difference methods for solving nonlinear Sobolev equations with distributed delay. (English) Zbl 07777001
Correction to: “A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh”. (English) Zbl 1523.65071
Analysis of a numerical technique for a singularly perturbed parabolic convection-diffusion interface problem with time delay. (English) Zbl 1526.65040
A second order stabilized central difference method for singularly perturbed differential equations with a large negative shift. (English) Zbl 1526.65029
Hybrid fitted numerical scheme for singularly perturbed convection-diffusion problem with a small time lag. (English) Zbl 1522.76041
On the convergence analysis of efficient numerical schemes for singularly perturbed second order Volterra integro-differential equations. (English) Zbl 1522.65260
Richardson method for a diffusion equation with functional delay. (English. Russian original) Zbl 07739097
Proc. Steklov Inst. Math. 321, Suppl. 1, S204-S215 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 133-144 (2023).
A computational method for the singularly perturbed delay pseudo-parabolic differential equations on adaptive mesh. (English) Zbl 07727800
A parameter-uniform numerical scheme for solving singularly perturbed parabolic reaction-diffusion problems with delay in the spatial variable. (English) Zbl 07695252
Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations. (English) Zbl 1524.35289
An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition. (English) Zbl 1512.65301
A new difference method for the singularly perturbed Volterra-Fredholm integro-differential equations on a Shishkin mesh. (English) Zbl 1513.65513
Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations. (English) Zbl 1513.35504
A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay. (English) Zbl 1497.65116
A numerical approach for solving nonlinear Fredholm integro-differential equation with boundary layer. (English) Zbl 1513.65214
Two-dimensional Haar wavelet method for numerical solution of delay partial differential equations. (English) Zbl 1502.65156
Robust numerical method for singularly perturbed convection-diffusion type problems with non-local boundary condition. (English) Zbl 1489.65106
Numerical analysis of a nonlinear singularly perturbed delay Volterra integro-differential equation on an adaptive grid. (English) Zbl 1499.65282
A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh. (English) Zbl 1486.65103
J. Difference Equ. Appl. 28, No. 3, 385-405 (2022); correction ibid. 29, No. 8, 857-859 (2023).
Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations. (English) Zbl 1491.65167
Georgian Math. J. 29, No. 2, 193-203 (2022); correction ibid. 30, No. 1, 159 (2023).
Fitted numerical method for singularly perturbed semilinear three-point boundary value problem. (English) Zbl 1482.65123
One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. (English) Zbl 07474634
Three layer difference method for linear pseudo-parabolic equation with delay. (English) Zbl 1482.65134
Reviewer: Abdallah Bradji (Annaba)
A second order numerical method for singularly perturbed problem with non-local boundary condition. (English) Zbl 1487.65093
A numerical method for solving the second initial-boundary value problem for a multidimensional third-order pseudoparabolic equation. (Russian. English summary) Zbl 1534.65124
Double Laplace decomposition method and finite difference method of time-fractional Schrödinger pseudoparabolic partial differential equation with Caputo derivative. (English) Zbl 1477.65148
Exponential fitted operator method for singularly perturbed convection-diffusion type problems with nonlocal boundary condition. (English) Zbl 1482.65118
Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models. (English) Zbl 1524.35332
A novel method for singularly perturbed delay differential equations of reaction-diffusion type. (English) Zbl 1483.65109
A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem. (English) Zbl 1476.65336
Solution of singularly perturbed differential difference equations and convection delayed dominated diffusion equations using Haar wavelet. (English) Zbl 07372212
Higher order uniformly convergent numerical algorithm for time-dependent singularly perturbed differential-difference equations. (English) Zbl 1468.65109
On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems. (English) Zbl 07771388
Piecewise reproducing kernel-based symmetric collocation approach for linear stationary singularly perturbed problems. (English) Zbl 1484.65159
A new second-order difference approximation for nonlocal boundary value problem with boundary layers. (English) Zbl 1476.65140
Uniformly convergent numerical method for a singularly perturbed differential difference equation with mixed type. (English) Zbl 07410007
A new error evaluation for singularly perturbed problem with multi-point boundary condition. (English) Zbl 1474.65238
Uniform difference method for singularly pertubated delay Sobolev problems. (English) Zbl 1460.65101
Reviewer: Hendrik Ranocha (Münster)
Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition. (English) Zbl 1459.65114
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. (English) Zbl 1453.65239
Fitted mesh method for singularly perturbed delay differential turning point problems exhibiting twin boundary layers. (English) Zbl 1474.65194
The difference schemes for solving singularly perturbed three-point boundary value problem. (English) Zbl 1458.65094
Accelerated fitted operator finite difference method for singularly perturbed delay differential equations with non-local boundary condition. (English) Zbl 1440.65077
Parameter-uniform numerical treatment of singularly perturbed initial-boundary value problems with large delay. (English) Zbl 1436.35028
Finite difference scheme for third order singularly perturbed delay differential equation of convection diffusion type with integral boundary condition. (English) Zbl 1427.65128
A class of finite difference schemes for singularly perturbed delay differential equations of second order. (English) Zbl 1418.65086
Fitted finite difference method for third order singularly perturbed delay differential equations of convection diffusion type. (English) Zbl 07074134
Uniform convergence method for a delay differential problem with layer behaviour. (English) Zbl 1483.65110
A numerical scheme for singularly perturbed delay differential equations of convection-diffusion type on an adaptive grid. (English) Zbl 1488.65158
Numerical solution of a boundary value problem including both delay and boundary layer. (English) Zbl 1488.65190
A collocation method for singularly perturbed differential-difference turning point problems exhibiting boundary/interior layers. (English) Zbl 1405.65081
Parameter-robust numerical scheme for time-dependent singularly perturbed reaction-diffusion problem with large delay. (English) Zbl 1448.65090
Numerical solution of second order singularly perturbed delay differential equations via cubic spline in tension. (English) Zbl 1397.65027
An exponentially fitted spline method for second-order singularly perturbed delay differential equations. (English) Zbl 1380.65118
Fitted reproducing kernel method for singularly perturbed delay initial value problems. (English) Zbl 1410.65241
A robust computational method for system of singularly perturbed differential difference equations with discontinuous convection coefficients. (English) Zbl 1359.65126
Analysis of difference approximations to delay pseudo-parabolic equations. (English) Zbl 1355.65109
Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 159-168 (2016).
A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient. (English) Zbl 1338.65199
Modified reproducing kernel method for singularly perturbed boundary value problems with a delay. (English) Zbl 1443.65090
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