Results 31 to 40 of about 225 (176)
A Layer-Adapted Numerical Method for Singularly Perturbed Partial Functional-Differential Equations
AxiomsThis article describes an effective computing method for singularly perturbed parabolic problems with small negative shifts in convection and reaction terms. To handle the small negative shifts, the Taylor series expansion is used.
Ahmed A. Al Ghafli +2 more
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Arab Journal of Mathematical Sciences, 2016 In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection ...
V. Subburayan
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Advantages of the Samarskii-type schemes on the Shishkin mesh
Journal of Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Relja Vulanović, Thái Anh Nhan
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Preconditioning and Uniform Convergence for Convection-Diffusion Problems Discretized on Shishkin-Type Meshes [PDF]
Advances in Numerical Analysis, 2016 A one-dimensional linear convection-diffusion problem with a perturbation parameter ɛ multiplying the highest derivative is considered. The problem is solved numerically by using the standard upwind scheme on special layer-adapted meshes. It is proved that the numerical solution is ɛ-uniform accurate in the maximum norm.
Nhan, Thái Ahn, Vulanović, Relja
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Numerical solution of a boundary value problem including both delay and boundary layer
Mathematical Modelling and Analysis, 2018 Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed.
Erkan Cimen
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Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.In this work, a novel numerical algorithm is presented to solve singularly perturbed parabolic problems with discontinuous convection coefficients and source terms. The problem is approximated using the Crank–Nicolson method in the temporal direction on a uniform mesh and the novel finite difference method in spatial direction.
Mousa J. Huntul +2 more
wiley +1 more source
Numerical Solution of a Singularly Perturbed Problem on a Circular Domain
Моделирование и анализ информационных систем, 2016 We consider a singularly perturbed elliptic problem, of convection-diffusion type, posed on a circular domain. Using polar coordinates, simple upwinding and a piecewise-uniform Shishkin mesh in the radial direction, we construct a numerical method that is
A. F. Hegarty, E. O’Riordan
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Journal of Mathematics, 2021 In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh.
P. Hammachukiattikul +5 more
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Hybrid Fitted Numerical Scheme for Singularly Perturbed Spatiotemporal Delay Differential Equations
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.In this study, a hybrid scheme is presented to solve a singularly perturbed time‐delay differential equation with a delay and advance term in the spatial variable. The scheme combines the midpoint upwind scheme and the cubic spline difference scheme in the outer and inner layer regions, respectively, on a nonuniform mesh for the spatial discretization,
Mulunesh Amsalu Ayele +2 more
wiley +1 more source
Partial Differential Equations in Applied MathematicsAn efficient numerical technique for a singularly perturbed parabolic reaction–diffusion problem with Robin type boundary conditions is presented in this work.
Fasika Wondimu Gelu +1 more
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