Traveling and Shock Wave Simulations in A Viscous Burgers’ Equation with Periodic Boundary Conditions

JOURNAL ARTICLE published December 2018 in International Journal of Applied and Computational Mathematics

Authors: R. C. Mittal | Rajni Rohila

Non-standard Finite Difference Based Numerical Method for Viscous Burgers’ Equation

JOURNAL ARTICLE published December 2020 in International Journal of Applied and Computational Mathematics

Research funded by Council of Scientific and Industrial Research, India (09/874(0023)/2017-EMR-1)

Authors: D. P. Clemence-Mkhope | V. P. Rabeeb Ali | Ashish Awasthi

Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers’ equation

JOURNAL ARTICLE published June 2021 in Computational and Applied Mathematics

Authors: Manzoor Hussain

Optimal boundary control of the wave equation with pointwise control constraints

JOURNAL ARTICLE published May 2011 in Computational Optimization and Applications

Authors: Martin Gugat | Volker Grimm

Finite element error estimates for an optimal control problem governed by the Burgers equation

JOURNAL ARTICLE published April 2016 in Computational Optimization and Applications

Authors: Pedro Merino

A Fourier Pseudospectral Method for Solving Coupled Viscous Burgers Equations

JOURNAL ARTICLE published 2009 in Computational Methods in Applied Mathematics

Authors: Abdur Rashid | Ahmad Izani Bin Md. Ismail

New conservation laws for inviscid Burgers equation

JOURNAL ARTICLE published 2012 in Computational & Applied Mathematics

Authors: Igor Leite Freire

Optimal location of the support of the control for the 1-D wave equation: numerical investigations

JOURNAL ARTICLE published April 2009 in Computational Optimization and Applications

Authors: Arnaud Münch

Numerical boundary treatment for shock propagation in the fractional KdV-Burgers equation

JOURNAL ARTICLE published January 2022 in Computational Mechanics

Research funded by National Natural Science Foundation of China (11988102,11832001) | National Natural Science Foundation of China (11890681,11521202)

Authors: Xinyi Guan | Qian Zhang | Shaoqiang Tang

Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law

JOURNAL ARTICLE published April 2018 in Advances in Computational Mathematics

Research funded by DST,India (DST project No.SR/S4/MS:639/90.)

Authors: Sudeep Kundu | Amiya Kumar Pani

Asymptotic Solutions of Burgers Equation and Modified Burgers Equation Satisfying Flux Type Conditions

JOURNAL ARTICLE published August 2022 in International Journal of Applied and Computational Mathematics

Authors: Pintu Samanta | Ch. Srinivasa Rao

Boundary and distributed control of the viscous Burgers equation

JOURNAL ARTICLE published October 2005 in Journal of Computational and Applied Mathematics

Authors: Nejib Smaoui

Efficient Computational Approach for Generalized Fractional KdV–Burgers Equation

JOURNAL ARTICLE published December 2020 in International Journal of Applied and Computational Mathematics

Authors: Saad Z. Rida | Hussien S. Hussien

Asymptotic Solution of the Boundary Control Problem for a Burgers-Type Equation with Modular Advection and Linear Gain

JOURNAL ARTICLE published November 2022 in Computational Mathematics and Mathematical Physics

Authors: V. T. Volkov | N. N. Nefedov

A Numerical Technique of the Time Fractional Gas Dynamics Equation Using Finite Element Approach with Cubic Hermit Element

JOURNAL ARTICLE published 2022 in Applied and Computational Mathematics

Numerical Solution of the Burgers’ Equation Using Chelyshkov Polynomials

JOURNAL ARTICLE published February 2024 in International Journal of Applied and Computational Mathematics

Authors: Nouria Arar | Bouchra Deghdough | Souad Dekkiche | Zineb Torch | A. M. Nagy

Adjoint concepts for the optimal control of Burgers equation

JOURNAL ARTICLE published January 2007 in Computational Optimization and Applications

Authors: Antje Noack | Andrea Walther

Cardinal B-Spline Wavelet Based Numerical Method for the Solution of Generalized Burgers–Huxley Equation

JOURNAL ARTICLE published April 2018 in International Journal of Applied and Computational Mathematics

Authors: S. C. Shiralashetti | S. Kumbinarasaiah

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

JOURNAL ARTICLE published April 2021 in Advances in Computational Mathematics

Research funded by Natural Science Foundation of China (11671081) | Postdoctoral Research Foundation of China (2018M642131) | Natural Science Foundation of China (11501514) | Visiting Scholar Program of China Scholarship Council (201908330528)

Authors: Xuping Wang | Qifeng Zhang | Zhi-zhong Sun

Numerical Solution of a Stationary Filtration Problem of Viscous Fluid in a Piecewise Homogeneous Porous Medium by Applying the Boundary Integral Equation Method

JOURNAL ARTICLE published December 2020 in Computational Mathematics and Mathematical Physics

Authors: A. V. Setukha | R. M. Tretyakova