A Novel Computational Approach to Solve Nonlinear Boundary Value Problems Using Extended Modal Series Method
Publish place: 19th Iranian Conference on Electric Engineering
Publish Year: 1390
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
ICEE19_001
تاریخ نمایه سازی: 14 مرداد 1391
Abstract:
In this paper, a new approach is proposed to solve nonlinear boundary value problems (BVPs). In this approach, the original nonlinear BVP transforms into a sequence of linear BVPs. Solving the proposed linear BVP sequence in a recursive manner leads to the exact solution of original problem in the form of uniformly convergent series. Hence, to obtain the exact solution, only the techniques of solving linear ordinary differential equations are employed. This confirms that the proposed method is straightforward and easy to implement. Besides, we present an efficient algorithm with low computational complexity and fast convergence rate. Through the finite iterations of the algorithm, an approximate closedform solution is obtained for the nonlinear BVP. Finally, a numerical example is employed to demonstrate efficiency, simplicity, and high accuracy of the proposed method
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Authors
Amin Jajarmi
Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Hamidreza Ramezanpour
Department of Nuclear Engineering and Physics, Amirkabir University of Technology, Tehran, Iran
Naser Pariz
Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
Ali Vahidian Kamyad
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
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