Ordinary Differential Equations Differential-Algebraic Equations Implicit Differential Equations Delay Differential Equations Boundary Value Problems Partial Differential Equations ballode - Simple event location (trajectory of a bouncing ball) batonode - ODE with time- and state-dependent mass matrix brussode - Stiff large problem (diffusion in a chemical reaction) burgersode - ODE with strongly state-dependent mass matrix fem1ode - Stiff problem with a time-dependent mass matrix fem2ode - Stiff problem with a constant mass matrix hb1ode - Stiff problem solved on a very long interval kneeode - The "knee problem" with non-negativity constraints orbitode - Advanced event location (restricted three body problem) rigidode - Nonstiff problem (Euler equations of motion) vdpode - Stiff problem (van der Pol equation) amp1dae - Stiff DAE - electrical circuit hb1dae - Stiff DAE from a conservation law iburgersode - Burgers'' equation solved as implicit ODE system ihb1dae - Stiff implicit DAE from a conservation law ddex1 - DDEs with constant history ddex2 - DDEs with discontinuities ddex3 - DDEs with state-dependent delays ddex4 - Neutral DDE with two delays ddex5 - Neutral DDE of initial value type emdenbvp - Emden''s equation - BVP with a singular term emdenbvp(''bvp5c'') - Emden''s equation solved with BVP5C fsbvp - Falkner-Skan BVP on an infinite interval fsbvp(''bvp5c'') - Falkner-Skan BVP solved with BVP5C mat4bvp - Fourth eigenfunction of Mathieu''s equation mat4bvp(''bvp5c'') - Mathieu''s equation solved with BVP5C rcbvp - Example that compares BVP4C and BVP5C shockbvp - Solution has a shock layer near x = 0 shockbvp(''bvp5c'') - Shock layer computed with BVP5C threebvp - Three-point boundary value problem threebvp(''bvp5c'') - Three-point BVP solved with BVP5C twobvp - Problem that has exactly two solutions pdex1 - One PDE--introductory example pdex2 - One PDE--example with discontinuities pdex3 - One PDE--approximate u(x,t) and Du(x,t)/Dx pdex4 - Two PDEs--introductory example pdex5 - Two PDEs--example of long-time behavior Differential Equations Examples Examples of View Code Run Example Close