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Fourth-order predictor–corrector FDM for computing the flow of a Newtonian fluid

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Abstract

There is a critical necessity for augmenting the accuracy of the solution of problem describing the fluid flow over an exponential stretching sheet to improve proficiently the process of heat transfer in numerous applications. For this purpose, an efficient fourth-order predictor–corrector finite difference method (FDM-4OPC) is implemented in this paper to present the numerical solution for the flow and heat transfer of a Newtonian fluid over an exponentially stretching porous sheet with constant heat flux, variable viscosity and internal heat generation. The technique of thermal radiation is also deliberated in this study. The countless features of the various parameters on both velocity and temperature components are schemed and introduced graphically as well as in tabular form. Further, the effect of the same governing parameters on skin-friction coefficient and Nusselt number is discussed in detail.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

    M. M. Khader

  2. Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

    M. M. Khader

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  1. M. M. Khader
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Correspondence to M. M. Khader.

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Khader, M.M. Fourth-order predictor–corrector FDM for computing the flow of a Newtonian fluid. Indian J Phys 94, 253–259 (2020). https://doi.org/10.1007/s12648-019-01434-6

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  • DOI: https://doi.org/10.1007/s12648-019-01434-6

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