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

Author(s):

E. Shivanian *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Singular boundary value problem , Constructive theorem , Existence , ‎uniqueness , ‎Convergence‎‎

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:15 Issue: 1, Winter 2023
Pages:
1 to 10
https://www.magiran.com/p2542063