Abstract
In this study, We produce the new numerical scheme which relies on sextic B-spline Galerkin method takes with quintic B-spline as a weight function, for solving the Burger's equation, contrasted with exact solution can be done and then we find out a linear stability analysis which is erect on a Fourier (Von Neumann) method.
Highlights
The Burger's equation first appeared in 1915”[2], where he applied this equation as a sample for the motion of a viscous fluid when the viscosity approaches zero
2- Sextic B-Spline Galerkin Scheme with Quintic Weight Function (SBGQWM) “Consider the one dimensional quasi-linear parabolic differential equation known as Burger's equation given by”
When the Petrov-Galerkin approach is applied to Eq(1), Using transformation (6), equation(3) for the typical element
Summary
The Burger's equation first appeared in 1915”[2], where he applied this equation as a sample for the motion of a viscous fluid when the viscosity approaches zero. 2- Sextic B-Spline Galerkin Scheme with Quintic Weight Function (SBGQWM) “Consider the one dimensional quasi-linear parabolic differential equation known as Burger's equation given by” If the Galerkin technique is applied to (1) such that is the weight function yields the following integral equation: ( ) ) which form basis over the solution domain ] at the knots , (
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