PETSc version 3.16.5
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# PetscDSSetExactSolutionTimeDerivative

Set the pointwise time derivative of the exact solution function for a given test field

### Synopsis

    #include "petscds.h"
    PetscErrorCode PetscDSSetExactSolutionTimeDerivative(PetscDS prob, PetscInt f, PetscErrorCode (*sol)(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx), void *ctx)

Not collective

### Input Parameters

| prob | - The PetscDS
| f | - The test field number
| sol | - time derivative of the solution function for the test fields
| ctx | - time derivative of the solution context or NULL

### Note: The calling sequence for solution functions is given by

    sol(PetscInt dim, PetscReal t, const PetscReal x[], PetscInt Nc, PetscScalar u[], void *ctx)

| dim | - the spatial dimension
| t | - current time
| x | - coordinates of the current point
| Nc | - the number of field components
| u | - the solution field evaluated at the current point
| ctx | - a user context

### See Also

PetscDSGetExactSolutionTimeDerivative(), PetscDSSetExactSolution()

### Level

intermediate

### Location

src/dm/dt/interface/dtds.c

### Examples

src/ts/tutorials/ex45.c.html
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