A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability

DOI10.22034/CMDE.2021.44306.1873zbMath1499.65384OpenAlexW3165787995MaRDI QIDQ5076661

Imiru Takele Daba, Gemechis File Duressa

Publication date: 17 May 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_12797_1dd36d8c4119ceab0ed5bdc157f0ece6.pdf

zbMATH Keywords

singularly perturbed problemimplicit Euler methoddelay parabolic differential equationexponential cubic spline method

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs on time scales (35R07)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Tension Spline Based Numerical Algorithm for Singularly Perturbed Partial Differential Equations on Non-uniform Discretization

Cites Work

• Unnamed Item
• The exponential asymptotic stability of singularly perturbed delay differential equations with a bounded lag
• Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation

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