RWPM

RWPM: A software package of shooting methods for nonlinear two-point boundary value problems. This paper deals with the numerical software package RWPM which solves the two-point boundary value problem for a system of n nonlinear ordinary differential equations x ’ =f(t,x), a<t<b, subject to n nonlinear boundary conditions r(x(a),x(b))=0, which has an isolated solution and, for convenience, f and r are as smooth as desired. The authors describe the actual version of the package RWPM. The code is implemented in Microsoft FORTRAN 5.0 and can be run on a PC. The computation process is graphically depicted. Numerical examples demonstrating the efficiency of the package are presented

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References in zbMATH (referenced in 16 articles , 1 standard article )

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  1. Makarov, Volodymyr L.; Dragunov, Denys V.: An efficient approach for solving stiff nonlinear boundary value problems (2019)
  2. Ahmadinia, M.; Safari, Z.: Numerical solution of singularly perturbed boundary value problems by improved least squares method (2018)
  3. Hermann, Martin: Numerical analysis of ordinary differential equations. Vol. 2: Nonlinear boundary value problems (2018)
  4. Merker, Andreas; Kaiser, Dieter; Hermann, Martin: Numerical bifurcation analysis of the bipedal spring-mass model (2015)
  5. Berger, Quentin; Lacoin, Hubert: The effect of disorder on the free-energy for the random walk pinning model: smoothing of the phase transition and low temperature asymptotics (2011)
  6. Hermann, M.; Milde, Th.: Computing eigenfunctions of singular points in nonlinear parametrized two-point BVPs (2009)
  7. Gavrilyuk, I. P.; Hermann, M.; Kutniv, M. V.; Makarov, V. L.: Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers (2006)
  8. Schaerer, Christian E.; Kaszkurewicz, Eugenius; Mangiavacchi, Norberto: A multilevel Schwarz shooting method for the solution of the Poisson equation in two dimensional incompressible flow simulations (2004)
  9. Koch, Othmar; Weinmüller, Ewa B.: The convergence of shooting methods for singular boundary value problems (2003)
  10. Hermann, M.; Kaiser, D.; Schröder, M.: Theoretical and numerical studies of nonlinear shell equations (1999)
  11. Hermann, M.; Kaiser, D.: Shooting methods for two-point BVPs with partially separated endconditions (1995)
  12. Mönch, W.: Modifizierte Brown-Verfahren zur Lösungseinschließung bei nichtlinearen Gleichungssystemen (1995)
  13. Hermann, M.; Kaiser, D.: RWPM: A software package of shooting methods for nonlinear two-point boundary value problems (1993)
  14. Hermann, M.; Ullrich, K.: RWPKV: A software package for continuation and bifurcation problems in two-point boundary value problems (1992)
  15. Herceg, Dragoslav: Uniform fourth order difference scheme for a singular perturbation problem (1990)
  16. Wallisch, Walter; Hermann, Martin: Schießverfahren zur Lösung von Rand- und Eigenwertaufgaben (1985)