**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31014

##### New Explicit Group Newton's Iterative Methods for the Solutions of Burger's Equation

**Authors:**
Tan K. B.,
Norhashidah Hj. M. Ali

**Abstract:**

In this article, we aim to discuss the formulation of two explicit group iterative finite difference methods for time-dependent two dimensional Burger-s problem on a variable mesh. For the non-linear problems, the discretization leads to a non-linear system whose Jacobian is a tridiagonal matrix. We discuss the Newton-s explicit group iterative methods for a general Burger-s equation. The proposed explicit group methods are derived from the standard point and rotated point Crank-Nicolson finite difference schemes. Their computational complexity analysis is discussed. Numerical results are given to justify the feasibility of these two proposed iterative methods.

**Keywords:**
Standard point Crank-Nicolson (CN),
Rotated point Crank-Nicolson (RCN),
Explicit Group (EG),
Explicit Decoupled Group (EDG)

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1063352

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