Found 36 Documents (Results 1–36)
An efficient numerical algorithm for a nonlinear system of singularly perturbed differential equations. (English) Zbl 07887979
Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions. (English) Zbl 1535.65106
Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh. (English) Zbl 1536.65081
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Fitted finite difference technique for singularly perturbed reaction diffusion equations of third order with integral boundary condition. (English) Zbl 07847193
Convergence analysis of a layer resolving numerical techniquefor a class of coupled system of singularly perturbed parabolic convection-diffusion equations having an interface. (English) Zbl 07827988
Sharma, Rajesh Kumar (ed.) et al., Frontiers in industrial and applied mathematics. Selected papers based on the presentations at the 4th international conference, FIAM-2021, Punjab, India, December 21–22, 2021. Singapore: Springer. Springer Proc. Math. Stat. 410, 277-296 (2023).
MSC:
76-XX
Analysis of a numerical technique for a singularly perturbed parabolic convection-diffusion interface problem with time delay. (English) Zbl 1526.65040
Parameter uniform numerical method for a system of singularly perturbed parabolic convection-diffusion equations. (English) Zbl 1540.65328
Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE. (English) Zbl 07699045
A fast uniformly accurate global numerical approximation to solution and scaled derivative of system of singularly perturbed problems with multiple diffusion parameters on generalized adaptive mesh. (English) Zbl 1524.65285
Numerical analysis for a class of coupled system of singularly perturbed time-dependent convection-diffusion equations with a discontinuous source term. (English) Zbl 1533.65128
Numerical analysis of a fully discrete stabilized FEM for system of singularly perturbed parabolic IBVPs. (English) Zbl 1513.65275
Numerical analysis of singularly perturbed system of parabolic convection-diffusion problem with regular boundary layers. (English) Zbl 1492.65245
Efficient high-order discretization methods for coupled systems of singularly perturbed parabolic convection-diffusion problems. (English) Zbl 07547384
A parameter robust fitted mesh finite difference method for a system of two reaction-convection-diffusion equations. (English) Zbl 1492.65209
A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms. (English) Zbl 1503.65184
A parameter-uniform fitted mesh method for a weakly coupled system of three partially singularly perturbed convection-diffusion equations. (English) Zbl 1506.65113
Sigamani, Valarmathi (ed.) et al., Differential equations and applications. Selected papers based on the presentations at the international conference on applications of basic science, ICABS 2019, Tiruchirappalli, India, November 19–21, 2019. Singapore: Springer. Springer Proc. Math. Stat. 368, 29-45 (2021).
Global uniform convergence of a numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations. (English) Zbl 1506.65111
Sigamani, Valarmathi (ed.) et al., Differential equations and applications. Selected papers based on the presentations at the international conference on applications of basic science, ICABS 2019, Tiruchirappalli, India, November 19–21, 2019. Singapore: Springer. Springer Proc. Math. Stat. 368, 17-28 (2021).
An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions. (English) Zbl 1485.65085
A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. (English) Zbl 1475.65053
A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems. (English) Zbl 1480.65224
Solving systems of singularly perturbed convection diffusion problems via initial value method. (English) Zbl 1442.65137
Robin boundary value problems for a singularly perturbed weakly coupled system of convection-diffusion equations having discontinuous source term. (English) Zbl 1435.65131
Numerical solutions of a system of singularly perturbed reaction-diffusion problems. (English) Zbl 1499.65316
A weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous source term. (English) Zbl 1449.65161
A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations. (English) Zbl 1427.65124
Numerical method for a system of singularly perturbed convection diffusion equations with integral boundary conditions. (English) Zbl 1425.65082
Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition. (English) Zbl 1438.65159
Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers. (English) Zbl 1427.65186
Parameter uniform numerical method for a system of two coupled singularly perturbed parabolic convection-diffusion equations. (English) Zbl 1448.65110
A parameter-uniform second order numerical method for a weakly coupled system of singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms. (English) Zbl 1380.65132
Reviewer: Srinivasan Natesan (Assam)
Layer structure and the Galerkin finite element method for a system of weakly coupled singularly perturbed convection-diffusion equations with multiple scales. (English) Zbl 1332.65116
Reviewer: Maria Gousidou-Koutita (Thessaloniki)
A robust adaptive grid method for a system of two singularly perturbed convection-diffusion equations with weak coupling. (English) Zbl 1306.65236
Reviewer: Srinivasan Natesan (Assam)
A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems. (English) Zbl 1197.65095
Reviewer: Kai Diethelm (Braunschweig)
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