Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators

A Saad Alshehry, M Imran, A Khan, R Shah, W Weera - Symmetry, 2022 - mdpi.com
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

A semi-analytical method to solve family of Kuramoto–Sivashinsky equations

R Shah, H Khan, D Baleanu, P Kumam… - Journal of Taibah …, 2020 - Taylor & Francis
In this article, a semi-analytical technique is implemented to solve Kuramoto–Sivashinsky
equations. The present method is the combination of two well-known methods namely …

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 …

Solution for fractional Kuramoto–Sivashinsky equation using novel computational technique

P Veeresha, DG Prakasha - International Journal of Applied and …, 2021 - Springer
In this paper, we analyse the nonlinear model describing the different physical and chemical
phenomena, namely Kuramoto–Sivashinsky equation. For the fractional KS (FKS) equation …

Numerical treatment of Kuramoto-Sivashinsky equation on B-spline collocation

SR Jena, GS Gebremedhin - Arab Journal of Basic and Applied …, 2021 - Taylor & Francis
In this article, a nonic B-spline collocation approach is applied to solve the approximate
solution of Kuramoto-Sivashinsky equation (KSE). Here the nonlinear term of KSE is …

[PDF][PDF] Solving Kuramoto-Sivashinsky equation by the new iterative method and estimate the optimal parameters by using PSO algorithm

KA Abed - Indonesian Journal of Electrical Engineering and …, 2020 - researchgate.net
In this study, optimal parameters estimation is performed for non-linear (Kuramoto-
Sivashinsky) equation using a crossbred method between Particle swarm optimization …

Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method

BK Singh, JP Shukla, M Gupta - International Journal of Applied and …, 2021 - Springer
Hybrid cubic B-spline differential quadrature method (in brief, HCB-DQM) have been
proposed for the study of one space dimensional time dependent partial differential …

Progress in modeling solidification in molten salt coolants

M Tano, P Rubiolo, O Doche - Modelling and Simulation in …, 2017 - iopscience.iop.org
Molten salts have been proposed as heat carrier media in the nuclear and concentrating
solar power plants. Due to their high melting temperature, solidification of the salts is …

A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation

HP Bhatt, A Chowdhury - International Journal of Computer …, 2021 - Taylor & Francis
This manuscript is concerned with the development and the implementation of a numerical
scheme to study the spatio-temporal solution profile of the well-known Kuramoto …

Study of 4th order Kuramoto-Sivashinsky equation by septic Hermite collocation method

A Kumari, VK Kukreja - Applied Numerical Mathematics, 2023 - Elsevier
In the current study, a robust septic Hermite collocation method (SHCM) is proposed to
simulate the Kuramoto-Sivashinsky (KS) equation. To approximate the spatial derivatives …