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 222 articles )

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  1. Martinez, Carlos; Ávila, Andrés; Mairet, Francis; Meier, Leslie; Jeison, David: Modeling and analysis of an absorption column connected to a microalgae culture (2020)
  2. 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)
  3. Abdi, A.; Jackiewicz, Z.: Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability (2019)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. Chen, Fu-quan; Lin, Luo-bin; Wang, Jian-jun: Energy method as solution for deformation of geosynthetic-reinforced embankment on Pasternak foundation (2019)
  10. De Souza, Daniel C.; Mackey, Michael C.: Response of an oscillatory differential delay equation to a periodic stimulus (2019)
  11. 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)
  12. Han, Jihun; Vahidi, Ardalan; Sciarretta, Antonio: Fundamentals of energy efficient driving for combustion engine and electric vehicles: an optimal control perspective (2019)
  13. Kausar, Muhammad Salman; Hussanan, Abid; Mamat, Mustafa; Ahmad, Babar: Boundary layer flow through Darcy-Brinkman porous medium in the presence of slip effects and porous dissipation (2019)
  14. Keskin, Ali Ümit: Boundary value problems for engineers. With MATLAB solutions (2019)
  15. Khan, A. U.; Hussain, S. T.; Nadeem, S.: Existence and stability of heat and fluid flow in the presence of nanoparticles along a curved surface by mean of dual nature solution (2019)
  16. Lu, Dianchen; Mohammad, Mutaz; Ramzan, Muhammad; Bilal, Muhammad; Howari, Fares; Suleman, Muhammad: MHD boundary layer flow of carreau fluid over a convectively heated bidirectional sheet with non-Fourier heat flux and variable thermal conductivity (2019)
  17. McLachlan, Robert I.; Offen, Christian: Symplectic integration of boundary value problems (2019)
  18. Najib, Najwa; Bachok, Norfifah; Arifin, Norihan Md; Ali, Fadzilah Md: Stability analysis of stagnation point flow in nanofluid over stretching/shrinking sheet with slip effect using Buongiorno’s model (2019)
  19. Poloskov, Igor’ Egorovich: Combination of the method of steps and an expansion of the state space for analyzing linear stochastic systems with various forms of delays and random inputs in the form of additive and multiplicative white noises (2019)
  20. Sabir, Zulqurnain; Akhtar, Rizwan; Zhiyu, Zhu; Umar, Muhammad; Imran, Ali; Wahab, Hafiz Abdul; Shoaib, Muhammad; Raja, Muhammad Asif Zahoor: A computational analysis of two-phase Casson nanofluid passing a stretching sheet using chemical reactions and gyrotactic microorganisms (2019)

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