Jafarimoghaddam, A., Roșca, N.C., Roșca, A.V. & Pop, I (2021) Mathematics and Computers in Simulation [Info Economics, Q2]
Ovidiu Ioan Moisescu
28 Mai 2021
Jafarimoghaddam, A., Roșca, N.C., Roșca, A.V. & Pop, I (2021) The universal Blasius problem: New results by Duan-Rach Adomian Decomposition Method with Jafarimoghaddam contraction mapping theorem and numerical solutions. Mathematics and Computers in Simulation, 187, 60-76.
✓ Publisher: Elsevier
✓ Web of Science Core Collection: Science Citation Index Expanded
✓ Categories: Computer Science, Software Engineering; Computer Science, Interdisciplinary Applications; Mathematics, Applied
✓ Article Influence Score (AIS): 0.456 (2019) / Q2 in Computer Science, Software Engineering; Q3 in Computer Science, Interdisciplinary Applications & Mathematics, Applied
Abstract: In the present work, Blasius problem subject to a moving and permeable wall (as a universal scheme) is tackled analytically and numerically in a comprehensive manner. In the analytic part, it is initially employed perturbation technique to develop some new asymptotic solutions; then, a modified scheme of Adomian Decomposition Method (namely, Duan–Rach ADM) combined with Jafarimoghaddam contraction mapping theorem, 2019 is brought into account to provide some new insights to the nonlinearity. Particularly, this combination led to an accurate analytic estimation of the critical points within the nonlinearity as well as an excellent improvement of the series solution presumably for the 1st time in the state of art. In the numerical part, the nonlinearity underwent Runge–Kutta–Fehlberg (RKF45) algorithm and the dual-nature solutions were confirmed.
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