A higher order difference method for singularly perturbed parabolic partial differential equations

P Das - Journal of Difference Equations and Applications, 2018 - Taylor & Francis
This paper studies a higher order numerical method for the singularly perturbed parabolic
convection-diffusion problems where the diffusion term is multiplied by a small perturbation …

Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters

P Das, V Mehrmann - BIT Numerical Mathematics, 2016 - Springer
This paper discusses the numerical solution of linear 1-D singularly perturbed parabolic
convection-diffusion-reaction problems with two small parameters using a moving mesh …

Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method

A Fahim, MA Fariborzi Araghi, J Rashidinia… - Advances in Difference …, 2017 - Springer
We provide the numerical solution of a Volterra integro-differential equation of parabolic type
with memory term subject to initial boundary value conditions. Finite difference method in …

A hybrid approximation scheme for 1-D singularly perturbed parabolic convection-diffusion problems

M Izadi, S Yuzbasi - Mathematical Communications, 2022 - hrcak.srce.hr
Sažetak Our study is concerned with a hybrid spectral collocation approach to solving
singularly perturbed 1-D parabolic convection-diffusion problems. In this approach …

Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

LJ Chen, MZ Li, Q Xu - Advances in Difference Equations, 2020 - Springer
In this paper, a new numerical algorithm for solving the time fractional convection–diffusion
equation with variable coefficients is proposed. The time fractional derivative is estimated …

An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays

AH Bhrawy, MA Abdelkawy, F Mallawi - Boundary Value Problems, 2015 - Springer
In this paper, the Chebyshev Gauss-Lobatto pseudospectral scheme is investigated in
spatial directions for solving one-dimensional, coupled, and two-dimensional parabolic …

[图书][B] Novel methods for solving linear and nonlinear integral equations

SS Ray, PK Sahu - 2018 - taylorfrancis.com
This book deals with the numerical solution of integral equations based on approximation of
functions and the authors apply wavelet approximation to the unknown function of integral …

Polynomial scaling functions for numerical solution of generalized Kuramoto–Sivashinsky equation

J Rashidinia, M Jokar - Applicable analysis, 2017 - Taylor & Francis
The current paper proposes a technique for the numerical solution of generalized Kuramoto–
Sivashinsky equation. The method is based on finite difference formula combined with the …

Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis

K Maleknejad, A Ostadi - Applied Numerical Mathematics, 2017 - Elsevier
In this paper, efficient and computationally attractive methods based on the Sinc
approximation with the single exponential (SE) and double exponential (DE) transformations …

Using Sinc-collocation method for solving weakly singular Fredholm integral equations of the first kind

K Maleknejad, A Ostadi - Applicable Analysis, 2017 - Taylor & Francis
In this paper, Sinc-collocation method is used to approximate the solution of weakly singular
nonlinear Fredholm integral equations of the first kind. Some of the important advantages of …