☆ 4.5 Article

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

WAVE MOTION (2023)

Related references

Note: Only part of the references are listed.

Article Chemistry, Analytical

MHD Flow of a Hybrid Nano-Fluid in a Triangular Enclosure with Zigzags and an Elliptic Obstacle

Ines Chabani et al.

Summary: This study numerically investigates the heat transfer of Cu-TiO2/EG hybrid nano-fluid inside a porous annulus using the multi-physics COMSOL software and the Darcy-Brinkman-Forchheimer model. The results show that, except for the Hartmann number which decelerates the flow rate, all other parameters have a positive impact on the thermal transmission rate.

MICROMACHINES (2022)

Add to Collection

Article Thermodynamics

Numerical investigation of the stagnation point flow of radiative magnetomicropolar liquid past a heated porous stretching sheet

A. S. Warke et al.

Summary: This study investigates the two-dimensional magnetohydrodynamic flow of a viscous magnetomicropolar liquid through an extending area, considering the impact of various parameters on velocity. It reveals that velocity is influenced by different liquid types.

JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY (2022)

Add to Collection

Article Automation & Control Systems

Discrete-time model-based output regulation of fluid flow systems

Junyao Xie et al.

Summary: This study introduces a model-based discrete-time output regulator design approach for complex fluid flow systems. The control and stabilization of fluid flow are achieved through discrete modeling techniques and spectrum analysis.

EUROPEAN JOURNAL OF CONTROL (2021)

Add to Collection

Article Mathematics, Applied

The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces

Santosh Kumar Bhal et al.

Summary: In this study, one-dimensional parabolic problems with interfaces are solved using orthogonal spline collocation for spatial discretization and the Crank-Nicolson method for time-stepping. The method is detailed for cubic monomial basis functions and easily extended to higher degree monomials. The results of numerical experiments show optimal global accuracy and second order accuracy in time, with superconvergence observed at the nodes.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2021)

Add to Collection

Article Mathematics, Applied

The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation

Xuping Wang et al.

Summary: A novel fourth-order three-point compact operator is presented for the nonlinear convection term uu(x), allowing for numerical analysis of higher-order difference schemes for a wide class of nonlinear evolutionary equations. The proposed scheme based on this operator is conservative, uniquely solvable, stable, and unconditionally convergent in discrete L-infinity-norm with convergence orders of two in time and four in space. Additionally, a three-level linearized compact difference scheme for the viscous Burgers' equation is derived, demonstrating second-order accuracy in time and fourth-order accuracy in space.

ADVANCES IN COMPUTATIONAL MATHEMATICS (2021)

Add to Collection

Article Physics, Multidisciplinary

Similarity solution analysis of dynamic and thermal boundary layers: further formulation along a vertical flat plate

R. Djebali et al.

Summary: This study proposed a simplified formulation of the similarity solution for the boundary layers problem occurring along a vertical heated flat plate under buoyancy effect. The accuracy of the new formulation was verified using a Taylor Series Expansion Model.

PHYSICA SCRIPTA (2021)

Add to Collection

Article Mathematics, Applied

Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines

Shelly Arora et al.

APPLIED NUMERICAL MATHEMATICS (2020)

Add to Collection

Article Mathematics, Applied

Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations

Shuguang Li

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2019)

Add to Collection

Article Engineering, Multidisciplinary

A note on solving the fourth-order Kuramoto-Sivashinsky equation by the compact finite difference scheme

Brajesh Kumar Singh et al.

AIN SHAMS ENGINEERING JOURNAL (2018)

Add to Collection

Article Mathematics, Applied

Cubic Hermite collocation solution of Kuramoto-Sivashinsky equation

Ishfaq Ahmad Ganaie et al.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2016)

Add to Collection

Article Mathematics, Applied

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

Ozlem Ersoy et al.

FILOMAT (2016)

Add to Collection

Article Mathematics

An efficient scheme for numerical solution of Burgers' equation using quintic Hermite interpolating polynomials

Shelly Arora et al.

ARABIAN JOURNAL OF MATHEMATICS (2016)

Add to Collection

Article Mathematics, Applied

On wave structures described by the generalized Kuramoto-Sivashinsky equation

Nikolay A. Kudryashov

APPLIED MATHEMATICS LETTERS (2015)

Add to Collection

Article Mathematics, Applied

A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative

Ercilia Sousa et al.

APPLIED NUMERICAL MATHEMATICS (2015)

Add to Collection

Article Engineering, Multidisciplinary

Numerical solutions of the generalized Kuramoto-Sivashinsky equation using B-spline functions

Mehrdad Lakestani et al.

APPLIED MATHEMATICAL MODELLING (2012)

Add to Collection

Article Engineering, Multidisciplinary

A parameter-uniform numerical method for time-dependent singularly perturbed differential-difference equations

Devendra Kumar et al.

APPLIED MATHEMATICAL MODELLING (2011)

Add to Collection

Article Mathematics, Applied

Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation

R. C. Mittal et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2010)

Add to Collection

Article Physics, Multidisciplinary

Lattice Boltzmann method for the generalized Kuramoto-Sivashinsky equation

Huilin Lai et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2009)

Add to Collection

Article Mathematics, Applied

Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods

A. H. Khater et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2008)

Add to Collection

Article Mathematics, Applied

A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems

C Clavero et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2003)

Add to Collection

Article Mathematics

Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation

V Rottschäfer et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2001)

Add to Collection

© Peeref 2019-2024. All rights reserved.