[HTML][HTML] Accelerated parameter-uniform numerical method for singularly perturbed parabolic convection-diffusion problems with a large negative shift and integral …

WS Hailu, GF Duressa - Results in Applied Mathematics, 2023 - Elsevier
The singularly perturbed parabolic convection–diffusion equations with integral boundary
conditions and a large negative shift are studied in this paper. The implicit Euler method for …

Parameter-uniform cubic spline method for singularly perturbed parabolic differential equation with large negative shift and integral boundary condition

WS Hailu, GF Duressa - Research in Mathematics, 2022 - Taylor & Francis
The singularly perturbed parabolic differential equations with integral boundary conditions
and a large negative shift in the space variable are studied in this paper. The implicit Euler …

Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition

E Sekar, A Tamilselvan - Journal of Applied Mathematics and Computing, 2019 - Springer
In this paper we consider a class of singularly perturbed delay differential equations of
convection diffusion type with integral boundary condition. A finite difference scheme with an …

A uniformly convergent difference method for singularly perturbed parabolic partial differential equations with large delay and integral boundary condition

N Sharma, A Kaushik - Journal of Applied Mathematics and Computing, 2023 - Springer
A class of singularly perturbed parabolic partial differential equations with a large delay and
an integral boundary condition is studied. The problem's solution features a weak interior …

Uniformly convergent numerical scheme for solving singularly perturbed parabolic convection-diffusion equations with integral boundary condition

WS Hailu, GF Duressa - Differential Equations and Dynamical Systems, 2023 - Springer
The singularly perturbed parabolic convection-diffusion equations with integral boundary
conditions and a large negative shift are studied in this paper. The Crank-Nicolson finite …

Time-discretization schema for an integrodifferential Sobolev type equation with integral conditions

A Guezane-Lakoud, D Belakroum - Applied Mathematics and Computation, 2012 - Elsevier
The appropriate discretization in time schema is considered for approximating the solution of
a nonlinear integro-differential Sobolev type equation with integral conditions. We construct …

A parameter-uniform collocation scheme for singularly perturbed delay problems with integral boundary condition

D Kumar, P Kumari - Journal of Applied Mathematics and Computing, 2020 - Springer
Based on the basis of B-spline functions an efficient numerical scheme on a piecewise-
uniform mesh is suggested to approximate the solution of singularly perturbed problems with …

A review of membrane computing models for complex ecosystems and a case study on a complex giant panda system

Y Duan, H Rong, D Qi, L Valencia-Cabrera… - …, 2020 - Wiley Online Library
Ecosystem modelling based on membrane computing is emerging as a powerful way to
study the dynamics of (real) ecological populations. These models, providing distributed …

Second order singularly perturbed delay differential equations with non-local boundary condition

S Elango - Journal of Computational and Applied Mathematics, 2023 - Elsevier
This paper is concerned with the singularly perturbed delay differential equations with
integral boundary conditions. To solve the problem, a finite difference scheme with an …

Exponentially fitted numerical method for solving singularly perturbed delay reaction-diffusion problem with nonlocal boundary condition

GM Wondimu, MM Woldaregay, GF Duressa… - BMC Research …, 2023 - Springer
Objectives In this article, a singularly perturbed delay reaction-diffusion problem with
nonlocal boundary conditions is considered. The exponential fitting factor is introduced to …