.. index:: single: ode_system_protocol
.. _ode_system_protocol/0:

.. rst-class:: right

**protocol**

``ode_system_protocol``
=======================

Protocol for a non-stiff first-order ordinary differential equation system.

| **Availability:** 
|    ``logtalk_load(numerical_analysis(loader))``

| **Author:** Paulo Moura
| **Version:** 1:0:0
| **Date:** 2026-09-04

| **Compilation flags:**
|    ``static``


| **Dependencies:**
|   (none)


| **Remarks:**
|    (none)

| **Inherited public predicates:**
|    (none)

.. contents::
   :local:
   :backlinks: top

Public predicates
-----------------

.. index:: derivative/3
.. _ode_system_protocol/0::derivative/3:

``derivative/3``
^^^^^^^^^^^^^^^^

Computes the state derivative at a time and state. The derivative must have the same dimension as the state.

| **Compilation flags:**
|    ``static``

| **Template:**
|    ``derivative(Time,State,Derivative)``
| **Mode and number of proofs:**
|    ``derivative(+number,+list(number),-list(number))`` - ``one``


------------

Protected predicates
--------------------

(none)

Private predicates
------------------

(none)

Operators
---------

(none)