A Novel Numerical Approach for Simulating the Nonlinear MHD Jeffery–Hamel Flow Problem

The present study is related to the numerical simulation of the well-known Jeffery Hamel blood flow problem of nonlinear form. For the numerical solutions of the designed model, a Bernoulli collocation method is implemented. The method is based on converting the model into a system of a nonlinear al...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2021-06, Vol.7 (3), Article 74
Main Authors: Adel, Waleed, Biçer, Kübra Erdem, Sezer, Mehmet
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Blood flow
Collocation methods
Computational mathematics
Computational Science and Engineering
Computing time
Error correction
Iterative methods
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Simulation
Theoretical
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Summary:The present study is related to the numerical simulation of the well-known Jeffery Hamel blood flow problem of nonlinear form. For the numerical solutions of the designed model, a Bernoulli collocation method is implemented. The method is based on converting the model into a system of a nonlinear algebraic equation which is then solved using a novel iterative technique. To check the perfection and exactness of the proposed schemes, two novel residual error correction methods are illustrated to ensure that the method is effective. The method does not require any extensive computational time while providing good results. Some numerical simulations are provided and a comparison is made with other existing methods from the literature. From these results, it can be seen that the Bernoulli collocation method is effective yet simple in providing accurate results for such a model. The method can be extended in the near future for solving similar other problems with applications in both science and engineering.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-021-01016-3