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[HTML][HTML] A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers' equation in one and two dimensions
This article aims to obtain the numerical solution of nonlinear Burgers' equation in one and
two dimensions using hybrid trigonometric differential quadrature method. Simulating five …
two dimensions using hybrid trigonometric differential quadrature method. Simulating five …
Cubic B-spline based elastic and viscoelastic wave propagation method
Y Li, F Wang, Q Li, C Fu, X Guo - Journal of Computational and Applied …, 2025 - Elsevier
The requirement for high computational efficiency in inversion imaging poses challenges to
further enhancing the accuracy of imaging large elastic and viscoelastic models …
further enhancing the accuracy of imaging large elastic and viscoelastic models …
[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 …
solution of generalized Burgers-Huxley and Burgers-Fisher equations as well as modified …
New cubic B-spline approximation technique for numerical solutions of coupled viscous Burgers equations
Purpose The purpose of this paper is to present a new cubic B-spline (CBS) approximation
technique for the numerical treatment of coupled viscous Burgers' equations arising in the …
technique for the numerical treatment of coupled viscous Burgers' equations arising in the …
Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation
A Kumari, VK Kukreja - Numerical Algorithms, 2022 - Springer
In this paper, the orthogonal collocation technique with septic Hermite splines as basis
function is used to find the numerical solution of non-linear modified Burgers' equation. The …
function is used to find the numerical solution of non-linear modified Burgers' equation. The …
An improvised collocation algorithm with specific end conditions for solving modified Burgers equation
Shallu, VK Kukreja - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this work, numerical solution of nonlinear modified Burgers equation is obtained using an
improvised collocation technique with cubic B‐spline as basis functions. In this technique …
improvised collocation technique with cubic B‐spline as basis functions. In this technique …
[HTML][HTML] Two different temporal domain integration schemes combined with compact finite difference method to solve modified Burgers' equation
R Kaur, VK Kukreja, N Parumasur, P Singh - Ain Shams Engineering …, 2022 - Elsevier
The modified Burgers' equation has application in various fields such as explosions and
sonic boom theory, propagation of torsional waves in thin circular viscoelastic rod, acoustic …
sonic boom theory, propagation of torsional waves in thin circular viscoelastic rod, acoustic …
Numerical applications of cubic B-spline collocation methods: A systematic review
SNKA Khan, MY Misro - AIP Conference Proceedings, 2024 - pubs.aip.org
In recent times, there has been an increasing interest in the study of B-spline functions. This
interest stems from the attractive properties of these splines, including their local control and …
interest stems from the attractive properties of these splines, including their local control and …
[HTML][HTML] Numerical solution of the viscous burgers' equation using localized differential quadrature method
In this article, we propose a numerical method to solve the viscous Burgers' equation in one
and two dimensions using the Localized Differential Quadrature (LDQ) scheme. To …
and two dimensions using the Localized Differential Quadrature (LDQ) scheme. To …
A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation
B Karaagac, A Esen, KM Owolabi, E Pindza - Numerical Analysis and …, 2023 - Springer
This paper considers an effective numerical collocation method for numerical solution of the
KdV–Kawahara equation. This numerical method relies on a finite element formulation and …
KdV–Kawahara equation. This numerical method relies on a finite element formulation and …