A higher order stable numerical approximation for time‐fractional non‐linear Kuramoto–Sivashinsky equation based on quintic BB‐spline

R Choudhary, S Singh, P Das… - Mathematical Methods in …, 2024 - Wiley Online Library
This article deals with designing and analyzing a higher order stable numerical analysis for
the time‐fractional Kuramoto–Sivashinsky (K‐S) equation, which is a fourth‐order non …

Numerical solution of the coupled viscous Burgers' equation

RC Mittal, G Arora - Communications in Nonlinear Science and Numerical …, 2011 - Elsevier
In the present paper, a numerical method is proposed for the numerical solution of a coupled
system of viscous Burgers' equation with appropriate initial and boundary conditions, by …

[HTML][HTML] Numerical solutions of the generalized Kuramoto–Sivashinsky equation using B-spline functions

M Lakestani, M Dehghan - Applied Mathematical Modelling, 2012 - Elsevier
A numerical technique based on the finite difference and collocation methods is presented
for the solution of generalized Kuramoto–Sivashinsky (GKS) equation. The derivative …

B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems

P Roul, VMKP Goura - Applied Mathematics and Computation, 2019 - Elsevier
This paper is concerned with the construction and convergence analysis of two B-spline
collocation methods for a class of nonlinear derivative dependent singular boundary value …

High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations

A Singh, S Kumar, J Vigo‐Aguiar - Mathematical Methods in …, 2023 - Wiley Online Library
In this manuscript, we develop and analyze two high‐order schemes, CFD g− σ _ g-σ and
PQS g− σ _ g-σ, for generalized variable coefficients fractional reaction–diffusion equations …

Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto–Sivashinsky equation

S Arora, F Mebrek-Oudina, S Sahani - Wave Motion, 2023 - Elsevier
An improved collocation technique has been proposed to discretize the fourth-order multi-
parameter non-linear Kuramoto-Sivashinsky (KS) equation. The spatial direction has been …

Quintic B-spline collocation method to solve n-dimensional stochastic Itô-Volterra integral equations

F Mirzaee, S Alipour - Journal of Computational and Applied Mathematics, 2021 - Elsevier
In this paper, the n-dimensional stochastic Itô-Volterra integral equation is numerically
solved via quintic B-spline collocation method. To reach this aim, the quintic B-spline …

Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media

MN Rasoulizadeh, Z Avazzadeh, O Nikan - International Journal of Applied …, 2022 - Springer
This paper presents a localized meshless approach based on the radial basis function-finite
difference (RBF-FD) to find the approximation solution of the generalized Kuramoto …

An inverse problem of identifying the time‐dependent potential in a fourth‐order pseudo‐parabolic equation from additional condition

MJ Huntul, M Tamsir, N Dhiman - Numerical Methods for …, 2023 - Wiley Online Library
The aim of this work is to identify numerically, for the first time, the time‐dependent potential
coefficient in a fourth‐order pseudo‐parabolic equation with nonlocal initial data, nonlocal …

A high order numerical technique and its analysis for nonlinear generalized Fisher's equation

P Roul, V Rohil - Journal of Computational and Applied Mathematics, 2022 - Elsevier
This paper deals with the design and analysis of a high order numerical scheme for the
nonlinear time-fractional generalized Fisher's equation (TFGFE). The Caputo fractional …