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].

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  1. 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)
  2. Chen-Charpentier, Benito M.; Diakite, Ibrahim: A mathematical model of bone remodeling with delays (2016)
  3. Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.: A numerical solution of open-loop Nash equilibrium in nonlinear differential games based on Chebyshev pseudospectral method (2016)
  4. Roşca, Alin V.; Uddin, Md.J.; Pop, Ioan: Boundary layer flow over a moving vertical flat plate with convective thermal boundary condition (2016)
  5. Barker, Blake; Freistühler, Heinrich; Zumbrun, Kevin: Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability (2015)
  6. Bartoszewski, Z.; Jackiewicz, Z.; Kuang, Yang: Numerical solution of threshold problems in epidemics and population dynamics (2015)
  7. Borrelli, A.; Giantesio, G.; Patria, M.C.: An exact solution for the 3D MHD stagnation-point flow of a micropolar fluid (2015)
  8. Dubrovin, Boris; Grava, Tamara; Klein, Christian; Moro, Antonio: On critical behaviour in systems of Hamiltonian partial differential equations (2015)
  9. 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)
  10. 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)
  11. Rangarajan, Ramsharan; Gao, Huajian: A finite element method to compute three-dimensional equilibrium configurations of fluid membranes: optimal parameterization, variational formulation and applications (2015)
  12. Sharma, Nikhil; Kern, Dominik; Seemann, Wolfgang: Vibration analysis and robust control of highly deformable beams in a heavy pinched loop configuration (2015)
  13. Skakauskas, V.; Katauskis, P.: Three mean-field models for bimolecular reactions proceeding on planar supported catalysts (2015)
  14. Skakauskas, Vladas; Katauskis, Pranas; Skvortsov, Alex; Gray, Peter: Toxin effect on protein biosynthesis in eukaryotic cells: a simple kinetic model (2015)
  15. Tr^ımbitaş, R.; Grosan, T.; Pop, I.: Mixed convection boundary layer flow past vertical flat plate in nanofluid: case of prescribed wall heat flux (2015)
  16. Ye, Caier; Zhang, Weiguo: Approximate damped oscillatory solutions and error estimates for the perturbed Klein-Gordon equation (2015)
  17. Kameswaran, Peri K.; Shaw, S.; Sibanda, P.: Dual solutions of Casson fluid flow over a stretching or shrinking sheet (2014)
  18. Kristopher Garrett, C.; Li, Ren-Cang: GIP integrators for matrix Riccati differential equations (2014)
  19. Kulikov, G.Yu.; Lima, P.M.; Morgado, M.L.: Analysis and numerical approximation of singular boundary value problems with the $p$-Laplacian in fluid mechanics (2014)
  20. Lok, Y.Y.; Pop, I.: Stretching or shrinking sheet problem for unsteady separated stagnation-point flow (2014)

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