Existence and Uniqueness Analysis for a Class of Singular Non-Linear Two-Point Boundary Value Problems by an Optimal Iterative Sequence
Subject Areas : International Journal of Industrial Mathematics
1 - Department of Mathematics, Imam Khomeini International
University, Qazvin, Iran.
Keywords: Singular boundary value problem, Constructive theorem, Existence and uniqueness, Convergence,
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.
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