Existence and Uniqueness Analysis for a Class of Singular Non-Linear Two-Point Boundary Value Problems by an Optimal Iterative ‎Sequence

The convergence of thisiterative sequence is then controlled by an embedded parameter. The fastest convergence occurs for an optimal embedded parameter which maximizes a special function. This optimization problem brings a sequence with high rate of the convergence to theunique solution in the finite region where \frac{\partial f}{\partial y} has to be positive.Some illustrative examples are given to confirm the validity and reliability of this constructive theory.

کلیدواژه ها:

Singular boundary value problem ، Constructive theorem ، Existence and ‎uniqueness ، ‎Convergence‎‎