Alternating Group Explicit Method For The Numerical Solution Of Non-Linear Singular Two-Point Boundary Value Problems Using A Fourth Order Finite Difference Method

In this paper, we report on the AGE and Newton-AGE iteration methods for the fourth order numerical solution of two point non-linear boundary value problems. Both methods are applicable to problems both in cartesian and polar coordinates and are suitable for use on parallel computers. The convergence analysis of the new method is briefly discussed and the results of numerical experiments presented.

Keywords:

• Age Method
• Newton-AGE Method
• Fourth-order Method
• Non-linear Equation
• Singular Equation
• Burger's Equation