build-in function bvp4c (MathWorks Inc)
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build-in function bvp4c
Build In Function Bvp4c, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/build-in+function/pm40341133-4-9-7
Average 90 stars, based on 1 article reviews
Build In Function Bvp4c, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
https://www.bioz.com/product/build-in+function/pm40341133-4-9-7
Average 90 stars, based on 1 article reviews
build-in function bvp4c - by Bioz Stars,
2026-10
90/100 stars
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other:Article Title: Effects of variable heat rise/fall on MHD Maxwell ternary nanofluid (Copper-Alumina-Titanium Dioxide/Water) flow over a moving needle. Article Snippet: The proposed mechanism in the form of differential equations is solved using the Article Title: Effects of variable heat rise/fall on MHD Maxwell ternary nanofluid (Copper-Alumina-Titanium Dioxide/Water) flow over a moving needle. Article Snippet: The numerical computations are carried out using Article Title: Optimizing Porous Transport Layers in PEM Water Electrolyzers: A 1D Two-Phase Model Article Snippet: The numerical solution is based on the finite difference method for the boundary value problem (BVP), and the built-in Article Title: Thermal study of Fe 3 O 4 /blood and CoFe 2 O 4 /blood magneto nanofluids study over an exponential surface inspired by convective heating and radiations. Article Snippet: Θ̌8ia = −Bi ( 1 − Θ̌7ia ) , Θ̌4ia = 0, Θ̌5ia = α, Θ̌1ia = 0, Θ̌2ia = 1, (26) Θ̌7ib → 0, Θ̌4ib → 0, and Θ̌1ib → 0, (27) Accuracy of the scheme is settled up to 10−7 by setting the ∞ condition as 2.5 for the velocity and temperature numerical outcomes and operated the Article Title: Effect of Slip Conditions and Heat Generation on Ag–TiO2/Water Hybrid Nanofluid Flow over Exponential Stretching/Shrinking Sheet Article Snippet: One of the most essential stages in improving heat transmission is to use hybrid nanofluids instead of nanofluids.. As a result, the purpose of this study is to investigate the impacts of titanium oxide (TiO2) and silver (Ag) with water (H2O) as the base fluid, as well as the fluid flow and heat generated by permeably exponentially stretching or shrinking sheets of hybrid nanofluid.. To reach the results of this study, the methodology adopted here reduces the governing partial differential equation transfer in terms of nonlinearly coupled ordinary differential equations utilizing similarity transformation. Article Title: Effects of variable heat rise/fall on MHD Maxwell ternary nanofluid (Copper-Alumina-Titanium Dioxide/Water) flow over a moving needle. Article Snippet: These equations along with their boundary conditions are directed to input in Article Title: Effects of variable heat rise/fall on MHD Maxwell ternary nanofluid (Copper-Alumina-Titanium Dioxide/Water) flow over a moving needle Article Snippet: * \text{Y}\left(3\right) -\frac{\frac{{\sigma\:}{thnf}}{{\sigma\:}{f}}}{{\rho\:}{\frac{thnf}{{\rho\:}{f}}}} * \frac{1}{2}* M*\text{Y}\left(2\right)-\frac{1}{2} * \frac{{\mu\:}{\frac{thnf}{{\mu\:}{f}}}}{{\rho\:}{\frac{thnf}{{\rho\:}{f}}}}Da * \text{Y}\left(2\right)\right] \end{array} }{\left(2\frac{{\mu\:}{\frac{thnf}{{\mu\:}{f}}}}{{\rho\:}{\frac{thnf}{{\rho\:}{f}}}}-2*\beta\: * \text{Y}{\left(1\right)}^{2} * \eta\:\right)} \end{aligned}$$\end{document} 21 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\text{Y}\text{Y}2=-\left(\frac{1}{\eta\:}+\frac{{k}_{f}*Pr*}{{k}_{thnf}*2*\eta\:}\frac{{\left(\rho\:{C}_{p}\right)}_{hnf}}{{\left(\rho\:{C}_{p}\right)}_{f}}*\text{Y}\left(1\right)\right)*\text{Y}\left(5\right)-\frac{{k}_{f}}{{k}_{thnf}*4*\eta\:}\left({A}^{*}\text{Y}\left(2\right)+{B}^{*}\text{Y}\left(4\right)\right)$$\end{document} 22 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\text{Y}\text{Y}3=-\frac{\left(1+\frac{Sc}{2}\text{*}\text{Y}\left(1\right)\right)\text{*}\text{Y}\left(6\right)-\frac{1}{4}\text{*}Sc\text{*}Kr\text{*}Y\left(6\right)}{\eta},$$\end{document} Boundary conditions 23 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\:\left.\begin{array}{c}\text{Y}\left(1\right)=\frac{\delta\:c}{2},\:\text{Y}\left(2\right)=\frac{\delta\:}{2},\:\text{Y}\left(4\right)=1,\text{Y}\left(6\right)=1\:\:\text{a}\text{t}\:\eta\:=c\\\:\text{Y}\left(2\right)\to\:\frac{1-\delta\:}{2},\:\text{Y}\left(4\right)\to\:0,\text{Y}\left(6\right)\to\:0\:\:\:\:\text{a}\text{s}\:\eta\:\to\:\infty\:\end{array}\right\}.$$\end{document} The system of |