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. Sun, Yanli; Wang, Xinyu; Guo, Xu; Mei, Yue: Adhesion behavior of an extensible soft thin film-substrate system based on finite deformation theory (2021)
  2. Hao, Zhiwei; Fujimoto, Kenji; Zhang, Qiuhua: Approximate solutions to the Hamilton-Jacobi equations for generating functions (2020)
  3. Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David: Modeling and analysis of an absorption column connected to a microalgae culture (2020)
  4. McLachlan, Robert I.; Offen, Christian: Preservation of bifurcations of Hamiltonian boundary value problems under discretisation (2020)
  5. Mishra, Hradyesh Kumar; Tripathi, Rajnee: Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform (2020)
  6. Qasim, M.; Riaz, N.; Lu, Dianchen; Shafie, S.: Three-dimensional mixed convection flow with variable thermal conductivity and frictional heating (2020)
  7. Skakauskas, V.; Katauskis, P.: Modelling of the “surface explosion” of the (\textNO+\textH_2) reaction over supported catalysts (2020)
  8. Venkata, S. R. M.; Gangadhar, K.; Varma, P. L. N.: Axisymmetric slip flow of a Powell-Eyring fluid due to induced magnetic field (2020)
  9. Yazdaniyan, Z.; Shamsi, M.; Foroozandeh, Z.; de Pinho, Maria do Rosário: A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games (2020)
  10. Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
  11. Afridi, Muhammad Idrees; Tlili, I.; Goodarzi, Marjan; Osman, M.; Khan, Najeeb Alam: Irreversibility analysis of hybrid nanofluid flow over a thin needle with effects of energy dissipation (2019)
  12. Allouche, H.; Tazdayte, A.; Tigma, K.: Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation (2019)
  13. Anuar, Nur Syazana; Bachok, Norfifah; Arifin, Norihan Md; Rosali, Haliza: Stagnation point flow and heat transfer over an exponentially stretching/shrinking sheet in CNT with homogeneous-heterogeneous reaction: stability analysis (2019)
  14. Boiko, Andrey V.; Demyanko, Kirill V.; Nechepurenko, Yuri M.: Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries (2019)
  15. Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık: An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems (2019)
  16. Chen, Fu-quan; Lin, Luo-bin; Wang, Jian-jun: Energy method as solution for deformation of geosynthetic-reinforced embankment on Pasternak foundation (2019)
  17. De Souza, Daniel C.; Mackey, Michael C.: Response of an oscillatory differential delay equation to a periodic stimulus (2019)
  18. Duan, Daifeng; Niu, Ben; Wei, Junjie: Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect (2019)
  19. 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)
  20. Han, Jihun; Vahidi, Ardalan; Sciarretta, Antonio: Fundamentals of energy efficient driving for combustion engine and electric vehicles: an optimal control perspective (2019)

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