Numerical solutions of space fractional variable-coefficient KdV–modified KdV equation by Fourier spectral method

C Han, YULAN Wang, ZY Li - Fractals, 2021 - World Scientific
Today, most of the real physical world problems can be modeled with variable-coefficient
KdV–modified KdV (vcKdV–mKdV) equation. Besides, the solution methods and their …

A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation

Ö Oruç, F Bulut, A Esen - Journal of Mathematical Chemistry, 2015 - Springer
In this paper, we investigate the numerical solutions of one dimensional modified Burgers'
equation with the help of Haar wavelet method. In the solution process, the time derivative is …

Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

A Korkmaz, I Dag - Journal of the Franklin Institute, 2011 - Elsevier
Nonlinear Burgers' equation is solved using polynomial based differential quadrature
method (PDQ). Numerical simulations are studied for three well known test problems …

[HTML][HTML] Numerical solution of Burgers' equation with high order splitting methods

M Seydaoğlu, U Erdoğan, T Öziş - Journal of Computational and Applied …, 2016 - Elsevier
In this work, high order splitting methods have been used for calculating the numerical
solutions of Burgers' equation in one space dimension with periodic, Dirichlet, Neumann …

Contemporary review of techniques for the solution of nonlinear Burgers equation

S Dhawan, S Kapoor, S Kumar, S Rawat - Journal of Computational …, 2012 - Elsevier
In the present paper, a comprehensive review of the different techniques used for solving the
Burgers equation has been presented along with the recent progress going in finding its …

Decatic B‐spline collocation scheme for approximate solution of Burgers' equation

SR Jena, GS Gebremedhin - Numerical Methods for Partial …, 2023 - Wiley Online Library
A decatic B‐spline collocation technique is employed to compute the numerical result of a
nonlinear Burgers' equation. The nonlinear term of Burgers' equation is locally linearized …

Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation

CG Zhu, RH Wang - Applied Mathematics and Computation, 2009 - Elsevier
In this paper, numerical solution of the Burgers' equation is presented based on the cubic B-
spline quasi-interpolation. At first the cubic B-spline quasi-interpolation is introduced …

A multiresolution collocation method and its convergence for Burgers' type equations

M Ahsan, T Tran, I Hussain - Mathematical Methods in the …, 2023 - Wiley Online Library
In this article, a hybrid numerical method based on Haar wavelets and finite differences is
proposed for shock ridden evolutionary nonlinear time‐dependent partial differential …

[HTML][HTML] A fourth-order numerical scheme for solving the modified Burgers equation

AG Bratsos - Computers & Mathematics with Applications, 2010 - Elsevier
A finite-difference scheme based on fourth-order rational approximants to the matrix–
exponential term in a two-time level recurrence relation is proposed for the numerical …

[HTML][HTML] A robust Hermite spline collocation technique to study generalized Burgers-Huxley equation, generalized Burgers-Fisher equation and Modified Burgers' …

S Arora, R Jain, VK Kukreja - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, a robust Hermite collocation technique is proposed to find the numerical
solution of generalized Burgers-Huxley and Burgers-Fisher equations as well as modified …