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 253 articles )

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  1. Chen, Jianing; Wang, Yiwei; Zhang, Lijun; Zhang, Mingji: Mathematical analysis of Poisson-Nernst-Planck models with permanent charges and boundary layers: studies on individual fluxes (2021)
  2. Khan, Raja Mehmood; Ashraf, Waqas; El-Zahar, Essam R.; Sohail, Muhammad; Algelany, A. M.; Thounthong, Phatiphat: Effect of rotational slip on the physical parameter in a micropolar fluid flow past a stretching sheet (2021)
  3. Luo, Xin-long; Xiao, Hang; Lv, Jia-hui; Zhang, Sen: Explicit pseudo-transient continuation and the trust-region updating strategy for unconstrained optimization (2021)
  4. Sun, Yanli; Wang, Xinyu; Guo, Xu; Mei, Yue: Adhesion behavior of an extensible soft thin film-substrate system based on finite deformation theory (2021)
  5. Umadevi, K. B.; Patil, Mallikarjun B.: Effects of thermal radiation and suction/injection on magnetohydrodynamic boundary layer flow of a micropolar fluid past a wedge embedded in a porous stratum (2021)
  6. Asshaari, Izamarlina; Jedi, Alias; Pati, Kafi Dano: A Weibull distribution: flow and heat transfer of nanofluids containing carbon nanotubes with radiation and velocity slip effects (2020)
  7. Guo, Hongxia; Gui, Changfeng; Lin, Ping; Zhao, Mingfeng: Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities (2020)
  8. Hao, Zhiwei; Fujimoto, Kenji; Zhang, Qiuhua: Approximate solutions to the Hamilton-Jacobi equations for generating functions (2020)
  9. Hussain, Azad; Akbar, Sobia; Sarwar, Lubna; Nadeem, Sohail: Probe of radiant flow on temperature-dependent viscosity models of differential type MHD fluid (2020)
  10. Irfan, M.; Asif Farooq, M.; Iqra, T.; Mushtaq, A.; Shamsi, Z. H.: A simplified finite difference method (SFDM) for EMHD Powell-Eyring nanofluid flow featuring variable thickness surface and variable fluid characteristics (2020)
  11. Irfan, M.; Farooq, M. Asif; Mushtaq, A.; Shamsi, Z. H.: Unsteady MHD bionanofluid flow in a porous medium with thermal radiation near a stretching/shrinking sheet (2020)
  12. Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David: Modeling and analysis of an absorption column connected to a microalgae culture (2020)
  13. McLachlan, Robert I.; Offen, Christian: Preservation of bifurcations of Hamiltonian boundary value problems under discretisation (2020)
  14. Mishra, Hradyesh Kumar; Tripathi, Rajnee: Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform (2020)
  15. Naganthran, K.; Md, Basir M. F.; Nazar, R.; Md Ismail, A. I.: Paired solutions of the Jeffery-Hamel channel flow utilizing nanoparticles in a kerosene (2020)
  16. Qasim, M.; Riaz, N.; Lu, Dianchen; Shafie, S.: Three-dimensional mixed convection flow with variable thermal conductivity and frictional heating (2020)
  17. Rizwana, Rizwana; Hussain, Azad; Nadeem, S.: Slip effects on unsteady oblique stagnation point flow of nanofluid in a view of inclined magnetic field (2020)
  18. Skakauskas, V.; Katauskis, P.: Modelling of the “surface explosion” of the (\textNO+\textH_2) reaction over supported catalysts (2020)
  19. Venkata, S. R. M.; Gangadhar, K.; Varma, P. L. N.: Axisymmetric slip flow of a Powell-Eyring fluid due to induced magnetic field (2020)
  20. Waqas, Hassan; Imran, Muhammad; Hussain, Sajjad; Ahmad, Farooq; Khan, Ilyas; Nisar, Kottakkaran Sooppy; Almatroud, A. Othman: Numerical simulation for bioconvection effects on MHD flow of Oldroyd-B nanofluids in a rotating frame stretching horizontally (2020)

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