A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines

DOI10.1007/S40096-022-00481-1MaRDI QIDQ6498067

Ozlem Ersoy Hepson, Gülsemay Yiğit, Tofigh Allahviranloo

Publication date: 7 May 2024

Published in: Mathematical Sciences (Search for Journal in Brave)

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems
Tension spline method for solution of non-linear Fisher equation
A hybrid numerical scheme for the numerical solution of the Burgers' equation
Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
Quartic B-spline Galerkin approach to the numerical solution of the KdVB equation
A numerical study of the Burgers' equation
A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
Trigonometric tension B-spline method for the solution of problems in calculus of variations
A weak Galerkin finite element method for Burgers' equation
A Galerkin finite element approach to Burgers' equation
A numerical solution of Burgers' equation
An efficient local meshless method for the equal width equation in fluid mechanics
A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation
An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory
Numerical simulations of Kuramoto-Sivashinsky equation in reaction-diffusion via Galerkin method
A new efficient fourth order collocation scheme for solving Burgers' equation
Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation
Numerical simulations of reaction-diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines
An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
Numerical solution of one-dimensional Burgers' equation using reproducing kernel function
A numerical solution of the Burgers' equation using septic \(B\)-splines
B-spline Galerkin methods for numerical solutions of the Burgers' equation
Quadratic B-spline finite element method for numerical solution of the Burgers' equation
A class of compact finite difference schemes for solving the 2D and 3D Burgers' equations
Numerical solution of Burgers' equation with factorized diagonal Padé approximation
Distributed optimal control of the viscous Burgers equation via a Legendre pseudo-spectral approach
Shock wave simulations using Sinc Differential Quadrature Method
On a quasi-linear parabolic equation occurring in aerodynamics
A quartic trigonometric tension B‐spline finite element method for solving Gardner equation

This page was built for publication: A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines