A review on singularly perturbed differential equations with turning points and interior layers
Singular perturbation problems with turning points arise as mathematical models for various
physical phenomena. The problem with interior turning point represent one-dimensional …
physical phenomena. The problem with interior turning point represent one-dimensional …
A systematic review on the solution methodology of singularly perturbed differential difference equations
This review paper contains computational methods or solution methodologies for singularly
perturbed differential difference equations with negative and/or positive shifts in a spatial …
perturbed differential difference equations with negative and/or positive shifts in a spatial …
A parameter-uniform higher order finite difference scheme for singularly perturbed time-dependent parabolic problem with two small parameters
In the present paper, a parameter-uniform numerical method is constructed and analysed for
solving one-dimensional singularly perturbed parabolic problems with two small …
solving one-dimensional singularly perturbed parabolic problems with two small …
Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front
DV Lukyanenko, AA Borzunov… - … in nonlinear science and …, 2021 - Elsevier
An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …
advection equations is proposed. As an example, we consider an inverse problem of …
An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition
In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem
with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference …
with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference …
[HTML][HTML] A finite-difference method for a singularly perturbed delay integro-differential equation
We consider the singularly perturbed initial value problem for a linear first order Volterra
integro-differential equation with delay. Our purpose is to construct and analyse a numerical …
integro-differential equation with delay. Our purpose is to construct and analyse a numerical …
A robust numerical method for a singularly perturbed Fredholm integro-differential equation
ME Durmaz, GM Amiraliyev - Mediterranean Journal of Mathematics, 2021 - Springer
In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference
scheme for solving the singularly perturbed linear second-order Fredholm integro …
scheme for solving the singularly perturbed linear second-order Fredholm integro …
A numerical approach for singularly perturbed reaction diffusion type volterra-fredholm integro-differential equations
ME Durmaz - Journal of Applied Mathematics and Computing, 2023 - Springer
The goal of this study is to introduce a second-order computational method to solve Volterra-
Fredholm integro-differential equations involving boundary layers. To solve numerically, we …
Fredholm integro-differential equations involving boundary layers. To solve numerically, we …
A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem
The design and analysis of a finite difference method for solving a class of time-fractional
singularly perturbed convection-diffusion problems is the subject of this paper. The time …
singularly perturbed convection-diffusion problems is the subject of this paper. The time …
[HTML][HTML] Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra
integro-differential equation was considered. By the method of integral identities with the use …
integro-differential equation was considered. By the method of integral identities with the use …