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Information Journal Paper

Title

Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method

Pages

  47-57

Abstract

 The recognition and the calculation of all branches of solutions of the nonlinear boundary value problems is di cult obviously. The complexity of this issue goes back to the being nonlinearity of the problem. Regarding this matter, this paper considers steady state reactive transport model which does not have exact closed{form solution and discovers existence of dual or triple solutions in some cases using a new hybrid method based on pseudo{spectral collocation in the sense of Least square method. Furthermore, the method usages Picard iteration and Newton method to treat nonlinear term in order to obtain unique and multiple solutions of the problem, respectively.

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    APA: Copy

    Shivanian, Elyas, & ABBASBANDY, SAEID. (2018). Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 9(2), 47-57. SID. https://sid.ir/paper/340961/en

    Vancouver: Copy

    Shivanian Elyas, ABBASBANDY SAEID. Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2018;9(2):47-57. Available from: https://sid.ir/paper/340961/en

    IEEE: Copy

    Elyas Shivanian, and SAEID ABBASBANDY, “Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 9, no. 2, pp. 47–57, 2018, [Online]. Available: https://sid.ir/paper/340961/en

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