An efficient method for solving non-linear singularly perturbed two points boundary-value problems of fractional order |
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| Authors: | Qasem M Al-Mdallal Muhammed I Syam |
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| Institution: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran;2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada;3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China;4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan |
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| Abstract: | In this paper, we discuss a numerical solution of a class of non-linear fractional singularly perturbed two points boundary-value problem. The method of solution consists of solving reduced problem and boundary layer correction problem. A series method is used to solve the boundary layer correction problem, and then the series solutions is approximated by the Pade’ approximant of order m, m]. Some theoretical results are established and proved. Two numerical examples are discussed to illustrate the efficiency of the present scheme. |
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