@article{(Open Science Index):https://publications.waset.org/pdf/6670, title = {New Explicit Group Newton's Iterative Methods for the Solutions of Burger's Equation}, author = {Tan K. B. and Norhashidah Hj. M. Ali}, country = {}, institution = {}, 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. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {12}, year = {2011}, pages = {1823 - 1828}, ee = {https://publications.waset.org/pdf/6670}, url = {https://publications.waset.org/vol/60}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 60, 2011}, }