The variational iteration method for solving nonlinear singular boundary value problems arising in various physical models |
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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, Taiwan 40402, Republic of China;4. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan;1. Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan;2. Department of Mathematics, University of Sargodha, Sargodha, Pakistan;1. School of Astronautics, Northwestern Polytchnical University, Xi''an 710072, China;2. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;3. Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79415, United States |
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| Abstract: | In this paper, the variational iteration method (VIM) is used to study a nonlinear singular boundary value problems arising in various physical equations. The VIM overcomes the singularity issue at the origin x = 0. The Lagrange multipliers for all four cases of the boundary value problems are formally derived. The variational iteration method is tested for its efficiency and reliability. |
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