bvpset (MATLAB Functions)

Create/alter boundary value problem (BVP) options structure

Syntax

options = bvpset('name1',value1,'name2',value2,...)
options = bvpset(oldopts'name1',value1,...)
options = bvpset(oldopts,newopts)
bvpset

Description

options = bvpset('name1',value1,'name2',value2,...) creates a structure options in which the named properties have the specified values. Any unspecified properties have default values. It is sufficient to type only the leading characters that uniquely identify the property. Case is ignored for property names.

options = bvpset(oldopts,'name1',value1,...) alters an existing options structure oldopts.

options = bvpset(oldopts,newopts) combines an existing options structure oldopts with a new options structure newopts. Any new properties overwrite corresponding old properties.

bvpset with no input arguments displays all property names and their possible values.

BVP Properties

These properties are available.

Property
Value
Description

RelTol
Positive scalar {1e-3}
A relative tolerance that applies to all components of the residual vector. The computed solution is the exact solution of

. On each subinterval of the mesh, the residual satisfies

AbsTol
Positive scalar or vector {1e-6}
An absolue tolerance that applies to all components of the residual vector. Elements of a vector of tolerances apply to corresponding components of the residual vector.

Vectorized
on | {off}
Set on to inform bvp4c that you have coded the ODE function F so that F([x1 x2 ...],[y1 y2 ...]) returns [F(x1,y1) F(x2,y2) ...]. That is, your ODE function can pass to the solver a whole array of column vectors at once. This allows the solver to reduce the number of function evaluations, and may significantly reduce solution time.

SingularTerm
Matrix
Singular term of singular BVPs.
Set to the constant matrix S for equations of the form

that are posed on the interval where .

FJacobian
Function | matrix | cell array
Analytic partial derivatives of ODEFUN.
For example, when solving , set this property to @FJAC if DFDY = FJAC(X,Y) evaluates the Jacobian of with respect to . If the problem involves unknown parameters , [DFDY,DFDP] = FJAC(X,Y,P) must also return the partial derivative of with respect to . For problems with constant partial derivatives, set this property to the value of DFDY or to a cell array {DFDY,DFDP}.

BCJacobian
Function |
cell array
Analytic partial derivatives of BCFUN.
For example, for boundary conditions , set this property to @BCJAC if [DBCDYA,DBCDYB] = BCJAC(YA,YB) evaluates the partial derivatives of with respect to and to . If the problem involves unknown parameters , then [DBCDYA,DBCDYB,DBCDP] = BCJAC(YA,YB,P) must also return the partial derivative of with respect to . For problems with constant partial derivatives, set this property to a cell array {DBCDYA,DBCDYB} or {DBCDYA,DBCDYB,DBCDP}.

Nmax
positive integer {floor(1000/n)}
Maximum number of mesh points allowed.

Stats
on | {off}
Display computational cost statistics.

Property	Value	Description
`RelTol`	Positive scalar {`1e-3`}	A relative tolerance that applies to all components of the residual vector. The computed solution is the exact solution of . On each subinterval of the mesh, the residual satisfies
`AbsTol`	Positive scalar or vector {`1e-6`}	An absolue tolerance that applies to all components of the residual vector. Elements of a vector of tolerances apply to corresponding components of the residual vector.
`Vectorized`	`on` \| {`off`}	Set `on` to inform `bvp4c` that you have coded the ODE function `F` so that `F([x1 x2 ...],[y1 y2 ...])` returns `[F(x1,y1) F(x2,y2) ...]`. That is, your ODE function can pass to the solver a whole array of column vectors at once. This allows the solver to reduce the number of function evaluations, and may significantly reduce solution time.
`SingularTerm`	Matrix	Singular term of singular BVPs. Set to the constant matrix `S` for equations of the form that are posed on the interval where .
`FJacobian`	Function \| matrix \| cell array	Analytic partial derivatives of `ODEFUN`. For example, when solving , set this property to `@FJAC` if `DFDY = FJAC(X,Y)` evaluates the Jacobian of with respect to . If the problem involves unknown parameters , `[DFDY,DFDP] = FJAC(X,Y,P)` must also return the partial derivative of with respect to . For problems with constant partial derivatives, set this property to the value of `DFDY` or to a cell array `{DFDY,DFDP}`.
`BCJacobian`	Function \| cell array	Analytic partial derivatives of `BCFUN`. For example, for boundary conditions , set this property to `@BCJAC` if [`DBCDYA,DBCDYB] = BCJAC(YA,YB)` evaluates the partial derivatives of with respect to and to . If the problem involves unknown parameters , then `[DBCDYA,DBCDYB,DBCDP] = BCJAC(YA,YB,P)` must also return the partial derivative of with respect to . For problems with constant partial derivatives, set this property to a cell array `{DBCDYA,DBCDYB}` or `{DBCDYA,DBCDYB,DBCDP}`.
`Nmax`	positive integer {`floor(1000/n)}`	Maximum number of mesh points allowed.
`Stats`	`on` \| {`off`}	Display computational cost statistics.

See Also

@ (function_handle), bvp4c, bvpget, bvpinit, deval

bvpinit bvpval