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Existence and Uniqueness Analysis for a Class of Singular Non-Linear Two-Point Boundary Value Problems by an Optimal Iterative Sequence | ||
| International Journal of Industrial Mathematics | ||
| دوره 15، شماره 1، فروردین 2023، صفحه 1-10 اصل مقاله (313.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.30495/ijim.2022.44028.1312 | ||
| نویسنده | ||
E. Shivanian 
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| Department of Mathematics, Imam Khomeini International University, Qazvin, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Singular boundary value problem؛ Constructive theorem؛ Existence and uniqueness؛ Convergence | ||
| مراجع | ||
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