scientific article; zbMATH DE number 7314090

zbMath1462.65211MaRDI QIDQ5151750

Ehsan Hosseini, Ghasem Barid Loghmani, Mohammad Mehdi Rashidi, Mohammad Heydari

Publication date: 22 February 2021

Full work available at URL: https://www.ijmex.com/index.php/ijmex/article/view/630

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

collocation methodboundary layer flownanofluidsMHD flowexponential Bernstein functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Suspensions (76T20) Magnetohydrodynamics and electrohydrodynamics (76W05) Reaction effects in flows (76V05) Approximation by polynomials (41A10) Statistical mechanics of nanostructures and nanoparticles (82D80) Boundary value problems for systems of nonlinear higher-order PDEs (35G60) Radiative heat transfer (80A21)

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Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions ⋮ A numerical iterative method for solving two-point BVPs in infinite-horizon nonzero-sum differential games: economic applications ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Computational method based on Bernstein operational matrices for nonlinear Volterra-Fredholm-Hammerstein integral equations
• Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
• Effects of heat generation/absorption on stagnation point flow of nanofluid over a surface with convective boundary conditions
• Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation
• On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations
• Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
• The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
• A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
• Approximate solutions of Fredholm integral equations of the second kind
• Natural convection cooling of a localised heat source at the bottom of a nanofluid-filled enclosure
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Numerical simulation of natural convection of the nanofluid in heat exchangers using a Buongiorno model
• Computational modeling of heat transfer over an unsteady stretching surface embedded in a porous medium
• The effect of double stratification on boundary-layer flow and heat transfer of nanofluid over a vertical plate
• Bernstein polynomials for solving fractional heat- and wave-like equations
• Solutions of differential equations in a Bernstein polynomial basis
• Steady boundary layer flow and reactive mass transfer past an exponentially stretching surface in an exponentially moving free stream
• Numerical solution of some classes of integral equations using Bernstein polynomials
• Numerical solution of KdV equation using modified bernstein polynomials
• Effects of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate
• Operational matrices of Bernstein polynomials and their applications
• On the optimal stability of the Bernstein basis
• Convection in Porous Media
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