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

Document Type : Research Paper

Author

Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.

Abstract

The convergence of this
iterative 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 the
unique 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.

Keywords

References

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