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http://ir.juit.ac.in:8080/jspui/jspui/handle/123456789/9209| Title: | A differentmonotone iterative technique for a class of nonlinear three-point BVPs |
| Authors: | Singh, Mandeep Urus, Nazia Verma, Amit K. |
| Keywords: | Monotone iterative technique Reversed ordered upper–lower solutions Bridge design |
| Issue Date: | 2021 |
| Publisher: | Jaypee University of Information Technology, Solan, H.P. |
| Abstract: | Thiswork examines the existence of the solutions of a class of three-point nonlinear boundary value problems that arise in bridge design due to its nonlinear behavior.Amaximum and antimaximum principles are derived with the support of Green’s function and their constant sign. A different monotone iterative technique is developed with the use of lower solution x(z) and upper solution y(z). We have also discussed the classification of well ordered (x ≤ y) and reverse ordered (y ≤ x) cases for both positive and negative values of sup ∂ f ∂w . Established results are verified with the help of some examples. |
| URI: | http://ir.juit.ac.in:8080/jspui/jspui/handle/123456789/9209 |
| Appears in Collections: | Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A different monotone iterative technique for a class of nonlinear three-point BVPs.pdf | 805.86 kB | Adobe PDF | View/Open |
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