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Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space
並列摘要
The aim of study of this article is to determine the solution of seventh order boundary value problem. The behavior of the induction motor is simulated by fifth order differential equation model and induction machine with two rotor circuits is represented by the seventh order differential equations. In this study, a Reproducing Kernel Method (RKM) for a class of seventh-order nonlinear boundary value problems is investigated. The argument is based on the reproducing kernel space W^8 2 [0, 1]. The proposed method gives better results when compared with the method available in literature (Siddiqi et al., 2012a). Two numerical examples are given to illustrate the implementation and efficiency of the method.
延伸閱讀
- Li, Z. Y., Wang, Y. L., & Tan, F. G. (2012). The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis, 2012(), 1411-1421. https://doi.org/10.1155/2012/195310
- Inc, M., & Akgül, A. (2014). Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method. Abstract and Applied Analysis, 2014(), 554-562-1260. https://doi.org/10.1155/2014/745287
- Akram, G., & Rehman, H. U. (2013). Solutions of a Class of Sixth Order Boundary Value Problems Using the Reproducing Kernel Space. Abstract and Applied Analysis, 2013(), 864-871-697. https://doi.org/10.1155/2013/560590
- Wang, Y., Lu, S., Tan, F., Du, M., & Yu, H. (2013). Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method. Abstract and Applied Analysis, 2013(), 807-812-1273. https://doi.org/10.1155/2013/925192
- Mustafa, G., & Ejaz, S. T. (2014). Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes. Abstract and Applied Analysis, 2014(), 63-75-1206. https://doi.org/10.1155/2014/721314