numerical technique bvp4c  (MathWorks Inc)

Journal: Scientific Reports

Article Title: Innovative thermal management in the presence of ferromagnetic hybrid nanoparticles

doi: 10.1038/s41598-024-68830-9

Figure Lengend Snippet: Graphical comparison of skin friction coefficient and Nusselt Number between bvp4c and ANN solution.

Article Snippet: The bvp4c numerical technique from MATLAB determines the dataset used as a reference for possible velocity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f^{'}(\xi )$$\end{document} f ′ ( ξ ) and temperature profiles \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta (\xi )$$\end{document} θ ( ξ ) for ANN-LMBA for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi$$\end{document} ξ between 0 and 2.5 for each of three scenarios involving four distinct parameters of ANN-LMBA for FHNFM.

Techniques: Comparison

Journal: Scientific Reports

Article Title: Innovative thermal management in the presence of ferromagnetic hybrid nanoparticles

doi: 10.1038/s41598-024-68830-9

Figure Lengend Snippet: Graphical comparison between bvp4c and ANN solution.

Article Snippet: The bvp4c numerical technique from MATLAB determines the dataset used as a reference for possible velocity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f^{'}(\xi )$$\end{document} f ′ ( ξ ) and temperature profiles \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta (\xi )$$\end{document} θ ( ξ ) for ANN-LMBA for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi$$\end{document} ξ between 0 and 2.5 for each of three scenarios involving four distinct parameters of ANN-LMBA for FHNFM.

Techniques: Comparison

Journal: Scientific Reports

Article Title: Innovative thermal management in the presence of ferromagnetic hybrid nanoparticles

doi: 10.1038/s41598-024-68830-9

Figure Lengend Snippet: Graphical comparison between bvp4c and ANN solution.

Article Snippet: The bvp4c numerical technique from MATLAB determines the dataset used as a reference for possible velocity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f^{'}(\xi )$$\end{document} f ′ ( ξ ) and temperature profiles \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta (\xi )$$\end{document} θ ( ξ ) for ANN-LMBA for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi$$\end{document} ξ between 0 and 2.5 for each of three scenarios involving four distinct parameters of ANN-LMBA for FHNFM.

Techniques: Comparison

Journal: Scientific Reports

Article Title: Innovative thermal management in the presence of ferromagnetic hybrid nanoparticles

doi: 10.1038/s41598-024-68830-9

Figure Lengend Snippet: Comparison of skin friction coefficient and Nusselt number for Bvp4c and ANN Solutions.

Article Snippet: The bvp4c numerical technique from MATLAB determines the dataset used as a reference for possible velocity \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f^{'}(\xi )$$\end{document} f ′ ( ξ ) and temperature profiles \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta (\xi )$$\end{document} θ ( ξ ) for ANN-LMBA for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi$$\end{document} ξ between 0 and 2.5 for each of three scenarios involving four distinct parameters of ANN-LMBA for FHNFM.

Techniques: Comparison