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Title: | CHEBYSHEV COLLOCATION APPROACH FOR CONTINUOUS FOUR-STEP HYBRID BACKWARD DIFFERENCE FORMULA FOR STIFF SYSTEM |
Authors: | Mohammed, Umaru AJINUHI, J.O Jimoh, O.R Dauda, A.A AKINTUBUBO, B.G |
Keywords: | CHEBYSHEV COLLOCATION STIFF SYSTEM |
Issue Date: | Sep-2019 |
Publisher: | Journal of Science, Technology, Mathematics and Education (JOSTMED) |
Citation: | MOHAMMED, U., AJINUHI, J. O., JIMOH, O. R., DUAUDA, A. A., AKINTUBUBO, B. G. (2019). Chebeshev Collocation Approach for Continuous Four-Step Hybrid Backward Differentiation Formulae for Stiff Systems. Journal of Science, Technology, Mathematics and Education (JOSTMED) 15(3) pp 186-196 |
Series/Report no.: | 15(3);186-196 |
Abstract: | In this paper, we developed an implicit continuous four - step hybrid backward difference formulae for the direct solution of stiff system. For this purpose, the Chebyshev polynomial was employed as the basis function for the development of schemes in a collocation and interpolation techniques. The schemes were analysed using appropriate existing theorem to investigate their stability, consistency, convergence and the investigation shows that the developed schemes are consistent, zero - stable and hence convergent. The methods were implemented on test problem from the literatures to show the accuracy and effectiveness of the scheme. |
URI: | https://jostmed.futminna.edu.ng/images/JOSTMED/JOSTMED_153_SEPTEMBER_2019/6._Chebyshev_Collocation_Approach_for_Continuous_Four-Step_Hybrid_Backward_Difference_Formula_for_Stiff_System.pdf http://repository.futminna.edu.ng:8080/jspui/handle/123456789/609 |
Appears in Collections: | Mathematics |
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Paper 38.pdf | 597.37 kB | Adobe PDF | View/Open |
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