On the study of solution & stability region analysis of a class of nonlinear differential equations with boundary conditions via special multistep methods.

This work proposes multistep technique for solving the nonlinear differential equations along with boundary conditions and deals with solution of the problem and stability region analysis of such methods. Some non linear differential equations are illustrated to show the efficacy of the method discussed in this paper. Stability Regions have been analyzed. The errors obtained by the methods discussed are compared to the exact solutions. Thus, the numerical solutions obtained by these methods have high accuracy. [ABSTRACT FROM AUTHOR]