A brief survey on numerical methods for solving singularly perturbed problems

MK Kadalbajoo, V Gupta - Applied mathematics and computation, 2010 - Elsevier
In the present paper, a brief survey on computational techniques for the different classes of
singularly perturbed problems is given. This survey is a continuation of work performed …

A Haar wavelet multi-resolution collocation method for singularly perturbed differential equations with integral boundary conditions

M Ahsan, M Bohner, A Ullah, AA Khan… - … and Computers in …, 2023 - Elsevier
The focus of this paper is to develop and improve a higher-order Haar wavelet approach for
solving nonlinear singularly perturbed differential equations with various pairs of boundary …

The exponential cubic B-spline algorithm for Fisher equation

I Dag, O Ersoy - Chaos, Solitons & Fractals, 2016 - Elsevier
In this study, exponential B-spline collocation method is set up for solving Fisher's equation.
Integration of Fisher's equation is managed by use of the exponential cubic B-spline in …

A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method

ASVR Kanth, N Garg - Computational and Applied Mathematics, 2020 - Springer
A numerical approach for a class of time-fractional reaction–diffusion equation through
exponential B-spline method is presented in this paper. The proposed scheme is a …

[HTML][HTML] Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

S Ahmed, S Jahan, KJ Ansari, K Shah… - Results in Applied …, 2024 - Elsevier
In this paper, we present a wavelet collocation method for efficiently solving singularly
perturbed differential–difference equations (SPDDEs) and one-parameter singularly …

[HTML][HTML] Exponential B-spline solution of convection-diffusion equations

R Mohammadi - Applied Mathematics, 2013 - scirp.org
We present an exponential B-spline collocation method for solving convection-diffusion
equation with Dirichlet's type boundary conditions. The method is based on the Crank …

Numerical solutions of the reaction diffusion system by using exponential cubic B-spline collocation algorithms

O Ersoy, I Dag - Open Physics, 2015 - degruyter.com
The solutions of the reaction-diffusion system are given by method of collocation based on
the exponential B-splines. Thus the reaction-diffusion systemturns into an iterative banded …

[HTML][HTML] Numerical solution of two-parameter singularly perturbed boundary value problems via exponential spline

WK Zahra, AM El Mhlawy - Journal of King Saud University-Science, 2013 - Elsevier
In this paper, a singularly perturbed semi-linear boundary value problem with two-
parameters is considered. The problem is solved using exponential spline on a Shishkin …

Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation

R Mohammadi - Chinese Physics B, 2015 - iopscience.iop.org
The aim of the present paper is to present a numerical algorithm for the time-dependent
generalized regularized long wave equation with boundary conditions. We semi-discretize …

The Exponential Cubic 𝐵-Spline Collocation Method for the Kuramoto-Sivashinsky Equation

O Ersoy, I Dag - Filomat, 2016 - JSTOR
In this study the Kuramoto–Sivashinsky (KS) equation has been solved using the collocation
method, based on the exponential cubic B-spline approximation together with the Crank …