# NAG C Library Chapter Contentsd02 – Ordinary Differential Equations

d02 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

d02m–n Sub-chapter Introduction

 FunctionName Mark ofIntroduction Purpose d02cjc Example Text 2 nag_ode_ivp_adams_gen Ordinary differential equation solver using a variable-order variable-step Adams' method (Black Box) d02ejc Example Text 3 nag_ode_ivp_bdf_gen Ordinary differential equations solver, stiff, initial value problems using the Backward Differentiation Formulae d02gac Example Text 3 nag_ode_bvp_fd_nonlin_fixedbc Ordinary differential equations solver, for simple nonlinear two-point boundary value problems, using a finite difference technique with deferred correction d02gbc Example Text 3 nag_ode_bvp_fd_lin_gen Ordinary differential equations solver, for general linear two-point boundary value problems, using a finite difference technique with deferred correction d02mcc 9 nag_dae_ivp_dassl_cont DASSL method continuation resetting function d02mwc Example Text 9 nag_dae_ivp_dassl_setup Implicit ordinary differential equations/DAEs, initial value problem, setup for nag_dae_ivp_dassl_gen (d02nec) d02nec Example Text 9 nag_dae_ivp_dassl_gen Implicit ordinary differential equations/DAEs, initial value problem, DASSL method integrator d02npc 9 nag_dae_ivp_dassl_linalg Implicit ordinary differential equations/DAEs, initial value problem linear algebra setup function for nag_dae_ivp_dassl_gen (d02nec) d02pec Example Text Example DataExample Plot 24 nag_ode_ivp_rkts_range Ordinary differential equations, initial value problem, Runge–Kutta method, integration over range with output d02pfc Example Text Example DataExample Plot 24 nag_ode_ivp_rkts_onestep Ordinary differential equations, initial value problem, Runge–Kutta method, integration over one step d02pgc Example Text Example DataExample Plot 26.0 nag_ode_ivp_rk_step_revcomm Ordinary differential equations, initial value problem, Runge–Kutta method, integration by reverse communication d02phc 26.0 nag_ode_ivp_rk_interp_setup Set up interpolant by reverse communication for solution and derivative evaluations at points within the range of the last integration step taken by nag_ode_ivp_rk_step_revcomm (d02pgc) d02pjc 26.0 nag_ode_ivp_rk_interp_eval Evaluate interpolant, set up using nag_ode_ivp_rkts_setup (d02pqc), to approximate solution and/or solution derivatives at a point within the range of the last integration step taken by nag_ode_ivp_rk_step_revcomm (d02pgc) d02pqc 24 nag_ode_ivp_rkts_setup Ordinary differential equations, initial value problem, setup for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) d02prc Example Text Example DataExample Plot 24 nag_ode_ivp_rkts_reset_tend Ordinary differential equations, initial value problem, resets end of range for nag_ode_ivp_rkts_onestep (d02pfc) d02psc Example Text Example DataExample Plot 24 nag_ode_ivp_rkts_interp Ordinary differential equations, initial value problem, interpolation for nag_ode_ivp_rkts_onestep (d02pfc) d02ptc 24 nag_ode_ivp_rkts_diag Ordinary differential equations, initial value problem, integration diagnostics for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) d02puc Example Text Example DataExample Plot 24 nag_ode_ivp_rkts_errass Ordinary differential equations, initial value problem, error assessment diagnostics for nag_ode_ivp_rkts_range (d02pec) and nag_ode_ivp_rkts_onestep (d02pfc) d02qfc Example Text 2 nag_ode_ivp_adams_roots Ordinary differential equation solver using Adams' method (sophisticated use) d02qwc 2 nag_ode_ivp_adams_setup Setup function for nag_ode_ivp_adams_roots (d02qfc) d02qyc 2 nag_ode_ivp_adams_free Freeing function for use with nag_ode_ivp_adams_roots (d02qfc) d02qzc Example Text 2 nag_ode_ivp_adams_interp Interpolation function for use with nag_ode_ivp_adams_roots (d02qfc) d02rac Example TextExample Plot 3 nag_ode_bvp_fd_nonlin_gen Ordinary differential equations solver, for general nonlinear two-point boundary value problems, using a finite difference technique with deferred correction d02tlc Example Text Example DataExample Plot 24 nag_ode_bvp_coll_nlin_solve Ordinary differential equations, general nonlinear boundary value problem, collocation technique d02tvc Example Text Example DataExample Plot 24 nag_ode_bvp_coll_nlin_setup Ordinary differential equations, general nonlinear boundary value problem, setup for nag_ode_bvp_coll_nlin_solve (d02tlc) d02txc Example Text Example DataExample Plot 24 nag_ode_bvp_coll_nlin_contin Ordinary differential equations, general nonlinear boundary value problem, continuation facility for nag_ode_bvp_coll_nlin_solve (d02tlc) d02tyc Example Text Example DataExample Plot 24 nag_ode_bvp_coll_nlin_interp Ordinary differential equations, general nonlinear boundary value problem, interpolation for nag_ode_bvp_coll_nlin_solve (d02tlc) d02tzc Example Text Example DataExample Plot 24 nag_ode_bvp_coll_nlin_diag Ordinary differential equations, general nonlinear boundary value problem, diagnostics for nag_ode_bvp_coll_nlin_solve (d02tlc) d02uac 23 nag_ode_bvp_ps_lin_coeffs Coefficients of Chebyshev interpolating polynomial from function values on Chebyshev grid d02ubc 23 nag_ode_bvp_ps_lin_cgl_vals Function or low-order-derivative values on Chebyshev grid from coefficients of Chebyshev interpolating polynomial d02ucc 23 nag_ode_bvp_ps_lin_cgl_grid Chebyshev Gauss–Lobatto grid generation d02udc Example Text Example Data 23 nag_ode_bvp_ps_lin_cgl_deriv Differentiate a function by the FFT using function values on Chebyshev grid d02uec Example Text Example Data 23 nag_ode_bvp_ps_lin_solve Solve linear constant coefficient boundary value problem on Chebyshev grid, Integral formulation d02uwc Example Text Example Data 23 nag_ode_bvp_ps_lin_grid_vals Interpolate a function from Chebyshev grid to uniform grid using barycentric Lagrange interpolation d02uyc Example Text Example Data 23 nag_ode_bvp_ps_lin_quad_weights Clenshaw–Curtis quadrature weights for integration using computed Chebyshev coefficients d02uzc Example Text Example Data 23 nag_ode_bvp_ps_lin_cheb_eval Chebyshev polynomial evaluation, ${T}_{k}\left(x\right)$