Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher–Kolmogorov model

S Kumar, R Jiwari, RC Mittal - Wave Motion, 2022 - Elsevier
This work offers two radial basis functions (RBFs) based meshfree schemes for the
numerical simulation of non-linear extended Fisher–Kolmogorov model. In the development …

A Galerkin approach to analyze MHD flow of nanofluid along converging/diverging channels

M Hamid, M Usman, R Ul Haq, Z Tian - Archive of Applied Mechanics, 2021 - Springer
In this article, we numerically analyzed the MHD flow of a nanofluid in converging/diverging
channels through the Galerkin approach. The walls are assumed to be stretchable. The …

A new three-level fourth-order compact finite difference scheme for the extended Fisher-Kolmogorov equation

S Li, D Xu, J Zhang, C Sun - Applied Numerical Mathematics, 2022 - Elsevier
In this paper, a new fourth-order compact finite difference scheme is proposed to solve the
extended Fisher-Kolmogorov (EFK) equation. The scheme is three-level and implicit …

[HTML][HTML] Analysis of Ciarlet–Raviart mixed finite element methods for solving damped Boussinesq equation

M Parvizi, A Khodadadian, MR Eslahchi - Journal of Computational and …, 2020 - Elsevier
In this paper, we consider the numerical solution of damped Boussinesq equation using
Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for …

Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher–Kolmogorov equation

M Hosseininia, MH Heydari, Z Avazzadeh - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper presents a numerical technique for solving the variable-order fractional extended
Fisher–Kolmogorov equation. The method suggested to solve this problem is based on the …

Solving steady-state lid-driven square cavity flows at high Reynolds numbers via a coupled improved element-free Galerkin–reduced integration penalty method

JCÁ Hostos, JCS Bove, MA Cruchaga… - … & Mathematics with …, 2021 - Elsevier
Steady-state two-dimensional lid-driven square cavity flows at high Reynolds numbers are
solved in this communication using a velocity-based formulation developed in the context of …

Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation

L Qiao, O Nikan, Z Avazzadeh - Applied Numerical Mathematics, 2023 - Elsevier
This paper develops some efficient numerical schemes based on the hybridization of finite
difference and orthogonal cubic spline collocation (OCSC) techniques to approximate the …

A three level linearized compact difference scheme for a fourth-order reaction-diffusion equation

H Boujlida, K Ismail, K Omrani - Applied Numerical Mathematics, 2024 - Elsevier
A high-order accuracy finite difference scheme is investigated to solve the one-dimensional
extended Fisher-Kolmogorov (EFK) equation. A three level linearized compact finite …

Analysis of the linearly energy-and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations

D Deng, Q Wu - Applied Numerical Mathematics, 2021 - Elsevier
This paper is concerned with numerical solutions of one-dimensional (1D) and two-
dimensional (2D) nonlinear coupled Schrödinger-Boussinesq equations (CSBEs) by a type …

A three-level linearized high-order accuracy difference scheme for the extended Fisher–Kolmogorov equation

K Ismail, N Atouani, K Omrani - Engineering with Computers, 2021 - Springer
A three-level linearized difference scheme for the extended Fisher–Kolmogorov equation is
considered. It is proved that the proposed difference scheme is uniquely solvable and …