Improved numerical solution of Burger’s equation
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Turbulence Problems by Solving Burgers' Equation
In this work we generate the numerical solutions of Burgers’ equation by applying the Crank-Nicholson method and different schemes for solving nonlinear systems, instead of using Hopf-Cole transformation to reduce Burgers’ equation into the linear heat equation. The method is analyzed on two test problems in order to check its efficiency on different kinds of initial conditions. Numerical solut...
متن کاملA numerical solution of Burgers' equation by modified Adomian method
In this paper, the modified Adomian s decomposition method for calculating a numerical solution of the one-dimensional quasi-linear, the Burgers equation, is presented. Time discretization has been used in decomposition, without using any transformation in the Burgers equation such as Hopf–Cole transformation. The numerical results obtained by this way for various values of viscosity have been ...
متن کاملNumerical Solution of Burgers-Huxley Equation using Improved Nodal Integral Method
In this paper, a numerical scheme for solution of Generalized Burgers-Huxley equation using improved Nodal integral method (MNIM) is proposed. In this approach, the domain is divided into nodes and the derivation of the scheme is based on local transverse integration process (TIP) of PDEs within these nodes. A set of algebraic equations, based on the local analytical solution of ODEs obtained b...
متن کاملA Numerical Solution of Burgers' Equation Based on Multigrid Method
in this article we discussed the numerical solution of Burgers’ equation using multigrid method. We used implicit method for time discritization and Crank-Nicolson scheme for space discritization for fully discrete scheme. For improvement we used Multigrid method in fully discrete solution. And also Multigrid method accelerates convergence of a basics iterative method by global correction. Nume...
متن کاملHigher-order accurate numerical solution of unsteady Burgers' equation
Higher-order accurate finite-difference schemes for solving the unsteady Burgers’ equation which often arises in mathematical modeling used to solve problems in fluid dynamics are presented. The unsteady Burgers’ equation belongs to a few nonlinear partial differential equations which has an exact solution, and it allows one to compare the numerical solution with the exact one, and the properti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2010
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v28i2.10889