Abdelilah Kamal. H. Sedeeg, "Solution of Multi-dimensional Navier-Stokes Equation Through Gamar Transform Combined with Adomian Decomposition Method," International Journal of Applied Mathematics, Computational Science and Systems Engineering, vol. 6, pp. 82-99, 2024, DOI:10.37394/232026.2024.6.8
Abdelilah Kamal. H. Sedeeg. Solution of Multi-dimensional Navier-Stokes Equation Through Gamar Transform Combined with Adomian Decomposition Method.
International Journal of Applied Mathematics, Computational Science and Systems Engineering. 2024;6:82-99. 10.37394/232026.2024.6.8
International Journal of Applied Mathematics, Computational Science and Systems Engineering
E-ISSN: 2766-9823
Volume 6, 2024
Solution of Multi-dimensional Navier-Stokes Equation Through Gamar Transform Combined with Adomian Decomposition Method
Author:
Abstract: In this work, an attempt is made to combine Gamar transform and Adomian decomposition method (GTADM) in order to solve multi-dimensional Navier-Stokes Equation. Selected examples are discussed so as to prove the feasibility of this method. The efficacy of the current method in relation to finding exact and approximate solutions is strongly verified by the results of the study. The technique of numerical simulation is utilized to reach the exact and approximate solutions.
Keywords:
Gamar transform, triple convolution theorem, partial derivatives, Mittin-Leffler functions, Adomian decomposition method, Navier-Stokes Equation
Pages: 82-99 DOI: 10.37394/232026.2024.6.8WSEAS Transactions on International Journal of Applied Mathematics, Computational Science and Systems Engineering, E-ISSN: 2766-9823, Volume 6, 2024, Art. #8
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