MATLAB-bvp4c -Solve boundary value problems for ordinary differential equations. sol = bvp4c(odefun,bcfun,solinit) integrates a system of ordinary differential equations of the form y′ = f(x,y) on the interval [a,b] subject to two-point boundary value conditions bc(y(a),y(b)) = 0. odefun and bcfun are function handles. See the function_handle reference page for more information. Parameterizing Functions explains how to provide additional parameters to the function odefun, as well as the boundary condition function bcfun, if necessary. bvp4c can also solve multipoint boundary value problems. See Multipoint Boundary Value Problems. You can use the function bvpinit to specify the boundary points, which are stored in the input argument solinit. See the reference page for bvpinit for more information. The bvp4c solver can also find unknown parameters p for problems of the form y′ = f(x,y, p) 0 = bc(y(a),y(b),p) where p corresponds to parameters. You provide bvp4c an initial guess for any unknown parameters in solinit.parameters. The bvp4c solver returns the final values of these unknown parameters in sol.parameters. bvp4c produces a solution that is continuous on [a,b] and has a continuous first derivative there. Use the function deval and the output sol of bvp4c to evaluate the solution at specific points xint in the interval [a,b].

References in zbMATH (referenced in 130 articles )

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  1. Jackson, Mark; Chen-Charpentier, Benito M.: Modeling plant virus propagation with delays (2017)
  2. Li, Lin; Lin, Ping; Si, Xinhui; Zheng, Liancun: A numerical study for multiple solutions of a singular boundary value problem arising from laminar flow in a porous pipe with moving wall (2017)
  3. Ali, Ahmada Omar; Makinde, Oluwole Daniel; Nkansah-Gyekye, Yaw: Numerical study of unsteady MHD Couette flow and heat transfer of nanofluids in a rotating system with convective cooling (2016)
  4. Chen-Charpentier, Benito M.; Diakite, Ibrahim: A mathematical model of bone remodeling with delays (2016)
  5. Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.: A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method (2016)
  6. Rahman, M.M.; Grosan, Teodor; Pop, Ioan: Oblique stagnation-point flow of a nanofluid past a shrinking sheet (2016)
  7. Rosca, Alin V.; Rosca, Natalia C.; Pop, Ioan: Numerical simulation of the stagnation point flow past a permeable stretching/shrinking sheet with convective boundary condition and heat generation (2016)
  8. Roşca, Alin V.; Uddin, Md.J.; Pop, Ioan: Boundary layer flow over a moving vertical flat plate with convective thermal boundary condition (2016)
  9. Barker, Blake; Freistühler, Heinrich; Zumbrun, Kevin: Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability (2015)
  10. Bartoszewski, Z.; Jackiewicz, Z.; Kuang, Yang: Numerical solution of threshold problems in epidemics and population dynamics (2015)
  11. Borrelli, A.; Giantesio, G.; Patria, M.C.: An exact solution for the 3D MHD stagnation-point flow of a micropolar fluid (2015)
  12. Dubrovin, Boris; Grava, Tamara; Klein, Christian; Moro, Antonio: On critical behaviour in systems of Hamiltonian partial differential equations (2015)
  13. Mahdy, A.; Chamkha, A.: Heat transfer and fluid flow of a non-Newtonian nanofluid over an unsteady contracting cylinder employing Buongiorno’s model (2015)
  14. Ma, Rui; Ban, Xuegang (Jeff); Pang, Jong-Shi; Liu, Henry X.: Submission to the DTA2012 special issue: Convergence of time discretization schemes for continuous-time dynamic network loading models (2015)
  15. Rahman, M.M.; Rosca, Alin V.; Pop, I.: Boundary layer flow of a nanofluid past a permeable exponentially shrinking surface with convective boundary condition using Buongiorno’s model (2015)
  16. Raju, C.S.K.; Sandeep, N.; Sulochana, C.; Sugunamma, V.; Babu, M.Jayachandra: Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface (2015)
  17. Rangarajan, Ramsharan; Gao, Huajian: A finite element method to compute three-dimensional equilibrium configurations of fluid membranes: optimal parameterization, variational formulation and applications (2015)
  18. Sharma, Nikhil; Kern, Dominik; Seemann, Wolfgang: Vibration analysis and robust control of highly deformable beams in a heavy pinched loop configuration (2015)
  19. Skakauskas, V.; Katauskis, P.: Three mean-field models for bimolecular reactions proceeding on planar supported catalysts (2015)
  20. Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter: Toxin effect on protein biosynthesis in eukaryotic cells: a simple kinetic model (2015)

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