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 190 articles )

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  1. Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
  2. Hamid, Aamir; Hashim; Hafeez, Abdul; Khan, Masood; Alshomrani, A. S.; Alghamdi, Metib: Heat transport features of magnetic water-graphene oxide nanofluid flow with thermal radiation: stability test (2019)
  3. Keskin, Ali Ümit: Boundary value problems for engineers. With MATLAB solutions (2019)
  4. Skrzypacz, Piotr; Kadyrov, Shirali; Nurakhmetov, Daulet; Wei, Dongming: Analysis of dynamic pull-in voltage of a graphene MEMS model (2019)
  5. Balti, Aymen; Lanza, Valentina; Aziz-Alaoui, Moulay: A multi-base harmonic balance method applied to Hodgkin-Huxley model (2018)
  6. Barker, B.; Humpherys, J.; Lyng, G.; Lytle, J.: Evans function computation for the stability of travelling waves (2018)
  7. Barker, Blake; Nguyen, Rose; Sandstede, Björn; Ventura, Nathaniel; Wahl, Colin: Computing Evans functions numerically via boundary-value problems (2018)
  8. Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru: On the accurate discretization of a highly nonlinear boundary value problem (2018)
  9. Hashim; Khan, Masood; Alshomrani, Ali Saleh; Haq, Rizwan Ul: Investigation of dual solutions in flow of a non-Newtonian fluid with homogeneous-heterogeneous reactions: critical points (2018)
  10. Jackson, Mark; Chen-Charpentier, Benito M.: A model of biological control of plant virus propagation with delays (2018)
  11. Kamran, M.; Wiwatanapataphee, Benchawan: Chemical reaction and Newtonian heating effects on steady convection flow of a micropolar fluid with second order slip at the boundary (2018)
  12. Mohammed, Maha A.; Noor, N. F. M.; Ibrahim, A. I. N.; Siri, Z.: A non-conventional hybrid numerical approach with multi-dimensional random sampling for cocaine abuse in Spain (2018)
  13. Nikooeinejad, Z.; Delavarkhalafi, A.; Heydari, M.: Application of shifted Jacobi pseudospectral method for solving (in)finite-horizon min-max optimal control problems with uncertainty (2018)
  14. Putkaradze, Vakhtang; Rogers, Stuart: Constraint control of nonholonomic mechanical systems (2018)
  15. Qureshi, Sania; Ramos, Higinio: (L)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems (2018)
  16. Rahman, Muhammad; Andersson, Helge I.: A note on buoyancy effects in von Kármán flow over a rotating disk (2018)
  17. Alipour, Khalil; Daemi, Parisa; Hassanpour, Arman; Tarvirdizadeh, Bahram: On the capability of wheeled mobile robots for heavy object manipulation considering dynamic stability constraints (2017)
  18. Belay, Tsegay; Kim, Chun Il; Schiavone, Peter: Bud formation of lipid membranes in response to the surface diffusion of transmembrane proteins and line tension (2017)
  19. Bensoussan, Alain; Skaaning, Sonny: Base stock list price policy in continuous time (2017)
  20. 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)

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