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A Novel Numerical Approach for Simulating the Nonlinear MHD Jeffery–Hamel Flow Problem by Waleed Adel; Kübra Erdem Biçer; Mehmet Sezer is a Mathematics article available to read on EtoBox.

What is A Novel Numerical Approach for Simulating the Nonlinear MHD Jeffery–Hamel Flow Problem about?

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.

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

Author

Waleed Adel; Kübra Erdem Biçer; Mehmet Sezer

Publisher

Springer Science and Business Media LLC

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)