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http://ir.futminna.edu.ng:8080/jspui/handle/123456789/26763| Title: | FORMULATION OF π βSTEP ORDER ππ FUZZY-STRUCTURED BLOCK HYBRID BACKWARD DIFFERENTIATION FORMULAE ALGORITHMS FOR THE APPROXIMATE SOLUTION OF FUZZY DIFFERENTIAL EQUATION |
| Authors: | Mohammed, Umaru Usman, A.M Salihu, N.O Ma'ali, A.I Akintubobo, B. G |
| Keywords: | collocation Stiff system Fuzzy ODE Hybrid method |
| Issue Date: | 23-Jun-2022 |
| Publisher: | Journal of Science, Technology, Mathematics and Education (JOSTMED) |
| Series/Report no.: | 18(2);156-169 |
| Abstract: | In this paper, a π βstep (π = 2,3,4), order 2π Fuzzy-structured block hybrid backward differentiation formulae were formulated for the approximate solution of fuzzy differential equations (FDEβs). π off step points were incorporated at interpolation in the process of formulation. The methods were developed using interpolation and collocation techniques. Convergence of the methods were analyzed and established. The methods were found to be of uniform order 2π . The methods were implemented as a block method, combining the main method with some additional methods obtained from the same continuous form. Numerical experiments were carried out and the results obtained were found to be effective, efficient and accurate in comparison with the exact solutions and approximations obtained with existing methods |
| URI: | http://repository.futminna.edu.ng:8080/jspui/handle/123456789/26763 |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 13. Formulation Of k-Step Order 2k Fuzzy-Structured Block Hybrid Backward Differentiation Formulae Algorithms (2).pdf | 436.5 kB | Adobe PDF | View/Open |
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