Ode45 for problems with looser or tighter accuracy Generally be your first choice of solver. Ode45 performs well with most ODE problems and should Y = yv(:,1) + i*yv(:,2) Basic Solver Selection Number of equations is only limited by available computer memory. You can specify any number of coupled ODE equations to solve, and in principle the Using the odeset function to create an options You can supply additional information to the solver for some types of problems by Ode15i solver is designed for fully implicit Fully implicit ODEs cannot be rewritten in an explicitįorm, and might also contain some algebraic variables. The ode15s andįully implicit ODEs of the form f ( t, y, y ' ) = 0. The number of derivatives needed to rewrite a DAE as an Of first-order ODEs by taking derivatives of the equations to eliminate theĪlgebraic variables. A system of DAEs can be rewritten as an equivalent system System of DAEs contains some algebraic variables.Īlgebraic variables are dependent variables whose derivatives do not appear If some components of y ' are missing, then the equations are calledĭifferential algebraic equations, or DAEs, and the

Solver avoids this transformation, which is inconvenient and can be However, specifying the mass matrix directly to the ODE Linearly implicit ODEs can always be transformed to an explicit form, y ' = M − 1 ( t, y ) f ( t, y ). Involve linear combinations of the first derivative of y, Or state-dependent, or it can be a constant matrix. Linearly implicit ODEs of the form M ( t, y ) y ' = f ( t, y ), where M ( t, y ) is a nonsingular mass matrix.

Explicit ODEs of the form y ' = f ( t, y ).

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