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A note on the transformation of boundary value problems to initial value problems: The iterative transformation method

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  • Fareo, A.G.

Abstract

In this paper, a concise review is presented, of how the scaling transformation group can be employed to determine a modified boundary value problem [6,10,11], which is invariant under an extended two-parameter scaling group. The main contribution is then to show that since the non-physical scaling parameter in the extended group is unity, a simple iterative method which does not require an extended group can be deduced.

Suggested Citation

  • Fareo, A.G., 2022. "A note on the transformation of boundary value problems to initial value problems: The iterative transformation method," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    • Handle: RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007761
    DOI: 10.1016/j.amc.2021.126692
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    Cited by:

    1. Vellaboyina Nagendramma & Putta Durgaprasad & Narsu Sivakumar & Battina Madhusudhana Rao & Chakravarthula Siva Krishnam Raju & Nehad Ali Shah & Se-Jin Yook, 2022. "Dynamics of Triple Diffusive Free Convective MHD Fluid Flow: Lie Group Transformation," Mathematics, MDPI, vol. 10(14), pages 1-31, July.

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