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ir.bowen.edu.ng:8181/jspui/handle/123456789/1435| Title: | A 4-Step Hermite based Multiderivative block integrator for solving fourth order ordinary differential equations |
| Authors: | Ogunlaran, O. M. Kehinde, M. A. |
| Keywords: | Multiderivative method Hermite Polynomial Continuous Scheme Ordinary differential equations |
| Issue Date: | 2022 |
| Citation: | Ogunlaran, O. M. and Kehinde M. A. (2022). A 4-Step Hermite based Multiderivative block integrator for solving fourth order ordinary differential equations. Abacus (Mathematics Science Series), 49(42):1-17. |
| Abstract: | A - 4 step block method was formulated with Hermite Polynomials as basis function. Discrete schemes were developed from continuous schemes obtained using interpolation and collocation techniques to derive the block. The order, consistency, zero stability and convergence of the method were investigated. The numerical results obtained from the two test problems show that the method performs better than some existing methods in the literature in term of accuracy and efficiency. |
| URI: | ir.bowen.edu.ng:8080/jspui/handle/123456789/1435 |
| Appears in Collections: | Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| A 4-Step Hermite based multiderivative block integrator for solving fourth-order integro-differential equations.pdf | 692.77 kB | Adobe PDF | View/Open |
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