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 158 articles )

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  1. Barker, Blake; Nguyen, Rose; Sandstede, Björn; Ventura, Nathaniel; Wahl, Colin: Computing Evans functions numerically via boundary-value problems (2018)
  2. Jackson, Mark; Chen-Charpentier, Benito M.: A model of biological control of plant virus propagation with delays (2018)
  3. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  4. Bensoussan, Alain; Skaaning, Sonny: Base stock list price policy in continuous time (2017)
  5. Bhojawala, V.M.; Vakharia, D.P.: Closed-form relation to predict static pull-in voltage of an electrostatically actuated clamped-clamped microbeam under the effect of Casimir force (2017)
  6. Danca, Marius-F.; Kuznetsov, Nikolay: Hidden chaotic sets in a Hopfield neural system (2017)
  7. Esfandiari, Ramin S.: Numerical methods for engineers and scientists using MATLAB (2017)
  8. Górajski, Mariusz; Machowska, Dominika: Optimal double control problem for a PDE model of goodwill dynamics (2017)
  9. Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin: Multidimensional stability of large-amplitude Navier-Stokes shocks (2017)
  10. Jackson, Mark; Chen-Charpentier, Benito M.: Modeling plant virus propagation with delays (2017)
  11. Kanjilal, Oindrila; Manohar, C.S.: Girsanov’s transformation based variance reduced Monte Carlo simulation schemes for reliability estimation in nonlinear stochastic dynamics (2017)
  12. 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)
  13. Wu, Yaping; Yan, Niannian: Stability of traveling waves for autocatalytic reaction systems with strong decay (2017)
  14. Alam, M.S.; Haque, M.M.; Uddin, M.J.: Convective flow of nanofluid along a permeable stretching/shrinking wedge with second order slip using Buongiorno’s mathematical model (2016)
  15. 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)
  16. Chen-Charpentier, Benito M.; Diakite, Ibrahim: A mathematical model of bone remodeling with delays (2016)
  17. Das, S.; Ali, A.; Jana, R.N.; Makinde, O.D.: Second-order slip flow and radiative heat and mass transfer over a vertical permeable shrinking sheet (2016)
  18. García, Pablo; Poznyak, Alexander: Multi-model LQ-constrained $\min$-$\max$ control (2016)
  19. Lin, Yanhai; Zheng, Liancun; Ma, Lianxi: Heat transfer characteristics of thin power-law liquid films over horizontal stretching sheet with internal heating and variable thermal coefficient (2016)
  20. Malisani, P.; Chaplais, F.; Petit, N.: An interior penalty method for optimal control problems with state and input constraints of nonlinear systems (2016)

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