ODE SOLVERS IN MATLAB - VERSION 5.3

 ODE45  Solve non-stiff differential equations, medium order method.
    [T,Y] = ODE45('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].
    

 ODE23  Solve non-stiff differential equations, low order method.
    [T,Y] = ODE23('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].
    

 ODE113 Solve non-stiff differential equations, variable order method.
    [T,Y] = ODE113('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].
    

 ODE23T  Solve moderately stiff ODEs and DAEs, trapezoidal rule.
    [T,Y] = ODE23T('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].


ODE15S Solve stiff differential equations and DAEs, variable order method.
    [T,Y] = ODE15S('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].
    

 ODE23S Solve stiff differential equations, low order method.
    [T,Y] = ODE23S('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].
    

 ODE23TB Solve stiff differential equations, low order method.
    [T,Y] = ODE23TB('F',TSPAN,Y0) with TSPAN = [T0 TFINAL] integrates the
    system of differential equations y' = F(t,y) from time T0 to TFINAL with
    initial conditions Y0.  'F' is a string containing the name of an ODE
    file.  Function F(T,Y) must return a column vector.  Each row in
    solution array Y corresponds to a time returned in column vector T.  To
    obtain solutions at specific times T0, T1, ..., TFINAL (all increasing
    or all decreasing), use TSPAN = [T0 T1 ... TFINAL].