Linear θMethod and Compact θMethod for Generalised ReactionDiffusion Equation with Delay

F Wu, Q Wang, X Cheng, X Chen - … of differential equations, 2018 - Wiley Online Library
… of the linear θ-method and compact θ-method for solving delay reaction-diffusion equation.
… , we consider the stability of the linear θ-method and compact θ-method, respectively. …

Linear 𝜃-Method and Compact 𝜃-Method for Generalised Reaction-Diffusion Equation with Delay

F Wu, Q Wang, X Cheng, X Chen - 2018 - projecteuclid.org
… Next, when 𝜃 = 1/2 or 1, we apply the linear 𝜃method and use different stepsizes to solve
problem (42). Theoretically, the numerical solution is asymptotically stable by Theorem 9. …

Galerkin finite element method for the generalized delay reaction-diffusion equation

GT Lubo, GF Duressa - Research in Mathematics, 2022 - Taylor & Francis
… finite element method is applied to solve the generalized delay reaction-diffusion equation,
… discretized by the Galerkin finite method and the Crank–Nicolson method, respectively. The …

Cubic B-spline finite element method for generalized reaction-diffusion equation with delay

GT Lubo, GF Duressa - Sigma Journal of Engineering and Natural …, 2023 - dergipark.org.tr
… In this paper, a cubic B -spline finite element method is constructed … method gives a better
convergence result than the linear θ -… Compact -method for the generalized delay diffusion

Qualitative theory for nonlinear non-local reaction-diffusion equations

NM Ladas - 2024 - etheses.bham.ac.uk
… semi-linear terms, we focus our attention on equation (1.3), … -local diffusion (eg. [AMRT08]);
delay differential equations (eg… on the integral kernel φ is to be of compact support with ∥φ∥ …

Asymptotical-stability-preserving finite element methods in time for 2D neutral delay-reactiondiffusion equations

H Han, C Zhang - Applied Mathematics Letters, 2022 - Elsevier
… [6] constructed the linear and compact θ -method for DRDEs and studied their asymptotical
… Recently, for a general class of linear 2D neutral delay-reactiondiffusion equations (…

Application of Aboodh homotopy perturbation transform method for fractional-order convection–reactiondiffusion equation within caputo and atangana–baleanu …

H Yasmin - Symmetry, 2023 - mdpi.com
… nonlinear convection–reactiondiffusion equations involving the … method, which combines
the homotopy perturbation method with … A modified technique known as the Aboodh homotopy …

[PDF][PDF] Uniformly convergent numerical method for singularly perturbed delay parabolic differential equations arising in computational neuroscience

MM Woldaregay, GF Duressa - Kragujevac Journal of mathematics, 2022 - imi.pmf.kg.ac.rs
… the SPPDDEs containing small delay on the spatial variable. In the proposed method, it is
… Now our objective is to calculate a difference equation which has the same general solution …

Delay-dependent stability analysis of convection-diffusion equations with delay

Q Zhang, C Li, H Qin - International Journal of Advanced …, 2017 - inderscienceonline.com
… stability of the test problem (1.1), such as θ-methods with 1 … Equation (1.2) as well as its
generalised form is also widely … methods when applied to linear systems of delay differential …

A reactiondiffusion epidemic model with incubation period in almost periodic environments

L Qiang, BG Wang, ZC Wang - European Journal of Applied …, 2021 - cambridge.org
… time-delayed nonlocal equation which comes from the equation of … Then we can define a
continuous linear skew-product … that we can take a sufficiently small number η > 0 such that λ∗ …