Numerical approximation of second-order boundary value problems via hybrid boundary value method
Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge...
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Published in | Journal of physics. Conference series Vol. 1734; no. 1; pp. 12022 - 12030 |
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Abstract | Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge Kutta method as data are utilized at off-step points. In this work, we apply this method to two second order Boundary Value Problems (BVPs) with mixed boundary conditions and the results are efficient when compared to other BVMs in literature. |
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AbstractList | Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge Kutta method as data are utilized at off-step points. In this work, we apply this method to two second order Boundary Value Problems (BVPs) with mixed boundary conditions and the results are efficient when compared to other BVMs in literature. Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge Kutta method as data are utilized at off-step points. In this work, we apply this method to two second order Boundary Value Problems (BVPs) with mixed boundary conditions and the results are efficient when compared to other BVMs in literature. |
Author | Odunlami, O. A. Abatan, O. G. Akinlabi, G. O. Busari, A. A. |
Author_xml | – sequence: 1 givenname: G. O. surname: Akinlabi fullname: Akinlabi, G. O. email: grace.akinlabi@covenantuniversity.edu.ng organization: Department of Mathematics, Covenant University , Nigeria – sequence: 2 givenname: A. A. surname: Busari fullname: Busari, A. A. organization: Department of Civil Engineering, Covenant University , Nigeria – sequence: 3 givenname: O. G. surname: Abatan fullname: Abatan, O. G. organization: Department of Chemical Engineering, Covenant University , Nigeria – sequence: 4 givenname: O. A. surname: Odunlami fullname: Odunlami, O. A. organization: Department of Chemical Engineering, Covenant University , Nigeria |
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Cites_doi | 10.1145/321250.321261 10.1007/s00009-006-0085-7 10.1090/S0025-5718-1976-0408259-6 10.1145/321217.321223 10.1016/0168-9274(95)00045-V 10.1080/10236199508808034 10.1090/S0025-5718-1967-0225494-5 10.1016/j.cam.2012.03.024 10.1016/0096-3003(95)00308-8 10.1155/2016/8465103 |
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Snippet | Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value... Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary... |
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SubjectTerms | Boundary conditions Boundary Value Method Boundary Value Problem Boundary value problems Hybrid BVM Linear Multistep Method Physics Runge-Kutta method |
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Title | Numerical approximation of second-order boundary value problems via hybrid boundary value method |
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