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].