Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method |
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| Institution: | 1. Team of Heat Transfer and Energetic (UAE/U10FST), Faculty of Sciences and Techniques of Tangier, Abdelmalek Essaâdi University, Morocco;2. Mathematics and Physics Laboratory, Perpignan Via Domicia University, France;1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan;2. Department of Basic Sciences, University of Engineering and Technology, Taxila 47050, Pakistan;3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;1. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria;2. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, PR China;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, PO Box-80203, Jeddah 21589, Saudi Arabia;5. Science Program, Texas A & M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia |
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| Abstract: | One knows that calculation of all branches of solutions of nonlinear boundary value problems can be difficult even by numerical methods, especially when the boundary conditions occur at infinity. Regarding this matter, this paper considers a model of mixed convection in a porous medium with boundary conditions on semi-infinite interval which admits multiple (dual) solutions. Furthermore, pseudo-spectral collocation method is applied in erudite way to calculate both dual solutions analytically. Comparison to exact solutions reveals reliability and high accuracy of the procedure and convince to be used to obtain multiple solutions of these kind of nonlinear problems. |
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