The B-spline collocation method for solving conformable initial value problems of non-singular and singular types
In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and non-singular types based on the conformable fr...
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| Auteurs principaux: | , , |
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| Format: | article |
| Langue: | EN |
| Publié: |
Elsevier
2022
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/4bfa7d1f370244db91778cadf19f506e |
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| Résumé: | In the present study, the uniform cubic B-spline collocation method is constructed, employed, and experimented to given smooth approximations for the numerical solution of a class of linear and nonlinear fractional initial value problems of singular and non-singular types based on the conformable fractional derivative. As a special case, the singular Lane-Emden type model is presented such that the source fractional differential equation is transformed at the point of singularity. The converted issue is then solved by using third B-splines on a uniform mesh approximation procedure with help of Mathematica 11. Several illustrative examples are incorporated to demonstrate the efficiency, validity, and applicability of the proposed technique for such conformable problems. |
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