On The Two Dimensional Gierer-Meinhardt system with strong coupling
, 1999 We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M +3 more
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Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case
, 2002 Numerical computations often show that the Gierer-Meinhardt system has stable solutions which display patterns of multiple interior peaks (often also called spots). These patterns are also frequently observed in natural biological systems.
Winter, M +3 more
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Computational method for singularly perturbed parabolic differential equations with discontinuous coefficients and large delay. [PDF]
Heliyon, 2022 Daba IT, Duressa GF.
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A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay. [PDF]
SN Appl Sci, 2022 Ejere AH +3 more
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An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition. [PDF]
J Appl Math Comput, 2023 Durmaz ME, Amirali I, Amiraliyev GM.
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Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
BMC Res Notes, 2021 Kabeto MJ, Duressa GF.
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Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
BMC Res Notes, 2021 Woldaregay MM, Duressa GF.
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New stability and performance results for singularly perturbed systems
, 1996 : Guardian maps -- Singularly perturbed systems with no exogenous parameter -- Singularly perturbed systems with an exogenous parameter ...
Saydy, Lahcen
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Novel approach to solve singularly perturbed boundary value problems with negative shift parameter. [PDF]
Heliyon, 2021 Duressa GF.
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Singularly perturbed volterra integro-differential equations
, 2004 Several investigations have been made on singularly perturbed integral equations. This paper aims at presenting an algorithm for the construction of asymptotic solutions and then provide a proof asymptotic correctness to singularly perturbed systems of ...
Bijura, AM
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