Numerical solution of special 12th-order boundary value problems using differential transform method |
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| Authors: | Siraj-Ul Islam Sirajul Haq Javid Ali |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, PR China;2. Department of Computer Science, Karakoram International University, Skardu Campus, Gilgit Baltistan 16100, Pakistan;3. Department of Mathematics, Shanghai University, Shanghai 200044, PR China;4. Department of Civil Engineering, University of Birmingham, Edjbaston B15 2TT, Birmingham;5. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai 201804, China |
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| Abstract: | In this paper, a differential transform method (DTM) is used to find the numerical solution of a special 12th-order boundary value problems with two point boundary conditions. The analysis is accompanied by testing differential transform method both on linear and nonlinear problems from the literature Wazwaz AM. Approximate solutions to boundary value problems of higher-order by the modified decomposition method. Comput Math Appl 2000:40;679–91; Siddiqi SS, Ghazala Akram. Solutions of 12th order boundary value problems using non-polynomial spline technique. Appl Math Comput 2007. doi:10.1016/j.amc.2007.10.015; Siddiqi SS, Twizell EH. Spline solutions of linear 12th-order boundary value problems. J Comput Appl Math 1997;78:371–90]. Numerical experiments and comparison with existing methods are performed to demonstrate reliability and efficiency of the proposed method. |
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