.. index:: single: rk45_ode_solver(System)
.. _rk45_ode_solver/1:

.. rst-class:: right

**object**

``rk45_ode_solver(System)``
===========================

* ``System`` - Object implementing ``ode_system_protocol``.


Adaptive Dormand-Prince 5(4) solver with componentwise error scaling and FSAL derivative reuse.

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

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

| **Compilation flags:**
|    ``static, context_switching_calls``


| **Imports:**
|    ``public`` :ref:`ode_solver(System) <ode_solver/1>`
| **Uses:**
|    :ref:`linear_algebra <linear_algebra/0>`
|    :ref:`list <list/0>`

| **Remarks:**
|    (none)

| **Inherited public predicates:**
|     :ref:`options_protocol/0::check_option/1`  :ref:`options_protocol/0::check_options/1`  :ref:`options_protocol/0::default_option/1`  :ref:`options_protocol/0::default_options/1`  :ref:`options_protocol/0::option/2`  :ref:`options_protocol/0::option/3`  :ref:`ode_solver_protocol/0::solve/4`  :ref:`ode_solver_protocol/0::solve/5`  :ref:`ode_solver_protocol/0::solve/6`  :ref:`options_protocol/0::valid_option/1`  :ref:`options_protocol/0::valid_options/1`  

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

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

(no local declarations; see entity ancestors if any)

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

(no local declarations; see entity ancestors if any)

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

(no local declarations; see entity ancestors if any)

Operators
---------

(none)

.. seealso::

   :ref:`ode_solver_protocol <ode_solver_protocol/0>`, :ref:`euler_ode_solver(System) <euler_ode_solver/1>`, :ref:`rk4_ode_solver(System) <rk4_ode_solver/1>`

