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Information Journal Paper

Title

NUMERICAL STUDY OF UNSTEADY FLOW OF GAS THROUGH A POROUS MEDIUM BY MEANS OF CHEBYSHEV PSEUDO-SPECTRAL METHOD

Pages

  229-236

Abstract

 Unsteady flow of gas through a porous medium is a strongly nonlinear ordinary differential equation on semi-infinite interval. In this paper, we have applied the pseudo-spectral collocation method with a POSITIVE SCALING FACTOR to solve unsteady flow of gas through a porous medium. The method reduces the solution of this problem to the solution of a system of nonlinear algebraic equations. The arising system is solved by Newton's method. To confirm the accuracy and efficiency of the presented scheme, we are compared the obtained numerical results with some well-known results. Results showed a very good agreement between results of presented scheme and the numerical solutions.

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    APA: Copy

    HOSSEINI HARAT, S.M., BABOLIAN, E., & ABBASBANDY, S.. (2018). NUMERICAL STUDY OF UNSTEADY FLOW OF GAS THROUGH A POROUS MEDIUM BY MEANS OF CHEBYSHEV PSEUDO-SPECTRAL METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 10(3), 229-236. SID. https://sid.ir/paper/716619/en

    Vancouver: Copy

    HOSSEINI HARAT S.M., BABOLIAN E., ABBASBANDY S.. NUMERICAL STUDY OF UNSTEADY FLOW OF GAS THROUGH A POROUS MEDIUM BY MEANS OF CHEBYSHEV PSEUDO-SPECTRAL METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2018;10(3):229-236. Available from: https://sid.ir/paper/716619/en

    IEEE: Copy

    S.M. HOSSEINI HARAT, E. BABOLIAN, and S. ABBASBANDY, “NUMERICAL STUDY OF UNSTEADY FLOW OF GAS THROUGH A POROUS MEDIUM BY MEANS OF CHEBYSHEV PSEUDO-SPECTRAL METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 10, no. 3, pp. 229–236, 2018, [Online]. Available: https://sid.ir/paper/716619/en

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