scientific article; zbMATH DE number 7379964

zbMath1486.65099MaRDI QIDQ5005351

Gemechis File Duressa, Imiru Takele Daba

Publication date: 9 August 2021

Full work available at URL: https://digitalcommons.pvamu.edu/aam/vol16/iss1/21

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

implicit Euler methodsingular perturbation problemhybrid algorithmcubic spline methoddelay parabolic differential equations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06) Singular parabolic equations (35K67) PDEs on time scales (35R07)

Related Items

Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations ⋮ Uniformly convergent finite difference methods for singularly perturbed parabolic partial differential equations with mixed shifts

Cites Work

• A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations
• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• Upwind and midpoint upwind difference methods for time-dependent differential difference equations with layer behavior
• Asymptotic solution of a boundary-value problem for linear singularly-perturbed functional differential equations arising in optimal control theory
• Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments
• Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability
• A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions
• An implicit scheme for singularly perturbed parabolic problem with retarded terms arising in computational neuroscience
• UNIFORMLY CONVERGENT NUMERICAL METHOD FOR SINGULARLY PERTURBED DELAY PARABOLIC DIFFERENTIAL EQUATIONS ARISING IN COMPUTATIONAL NEUROSCIENCE
• Fitted Numerical Scheme for Solving Singularly Perturbed Parabolic Delay Partial Differential Equations
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