IVP Solver Toolbox

Version 4.2.1 (13.9 MB) by Tamas Kis
Collection of fixed-step IVP solvers. Includes support for matrix-valued IVPs, and provides functions for generating IVP solver equations.
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Updated 18 Sep 2022
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Collection of fixed-step IVP solvers. Includes support for matrix-valued IVPs, and provides functions for generating IVP solver equations.

Documentation

Toolbox Documentation
Technical Documentation

To open the home page of the toolbox documentation in MATLAB, type

doc_IVP

in the Command Window. To open the documentation of a specific function with name function_name from the Command Window, type

doc_IVP function_name

To open the PDF file with the technical documentation (Solving_Initial_Value_Problems_for_ODEs.pdf) from the Command Window, type

doc_IVP tech

Main IVP Solver Function

[t,y] = solve_ivp(f,[t0,tf],y0,h)
[t,y] = solve_ivp(f,{t0,E},y0,h)
[t,y] = solve_ivp(__,method)
[t,y] = solve_ivp(__,method,wb)

Matrix-Valued IVP Solver Function

[t,M] = solve_ivp_matrix(F,[t0,tf],M0,h)
[t,M] = solve_ivp_matrix(F,{t0,E},M0,h)
[t,M] = solve_ivp_matrix(__,p,method)
[t,M] = solve_ivp_matrix(__,p,method,wb)

Utilities for IVP Solvers

expand_ivp_arrays
mat2vec_ode
mat2vec_IC
mat2vec_C
vec2mat_sol

Explicit Runge-Kutta (Single-Step) Methods

RK1_euler
RK2
RK2_heun
RK2_ralston
RK3
RK3_heun
RK3_ralston
SSPRK3
RK4
RK4_ralston
RK4_38

Adams-Bashforth (Multistep Predictor) Methods

AB2
AB3
AB4
AB5
AB6
AB7
AB8

Adams-Bashforth-Moulton (Multistep Predictor-Corrector) Methods

ABM2
ABM3
ABM4
ABM5
ABM6
ABM7
ABM8

Generating IVP Solver Equations

AB_coefficients
AM_coefficients
AB_predictor
AM_corrector
ABM_equations
tableau2eqns

Cite As

Tamas Kis (2026). IVP Solver Toolbox (https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v4.2.1), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Tags Add Tags

examples

toolbox/adamsbashforth

toolbox/adamsbashforthmoulton

toolbox/doc

toolbox/generatingequations

toolbox/ivpsolvers

toolbox/lib

toolbox/rungekutta

toolbox/utils

Version Published Release Notes
4.2.1

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v4.2.1
4.2.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v4.2.0
4.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v4.1.1
4.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v4.0.1
3.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v3.2.0
3.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v3.1.1
3.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v3.1.0
3.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v3.0.0
2.6.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v2.6.0
2.5.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.5.0
2.3.1

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.3.1
2.3.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.3.0
2.2.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.2.0
2.1.2

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.1.2
2.1.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v2.1.1
2.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.1.0
2.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.0.1
2.0.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v2.0.0
1.1.1

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.1.1
1.1.0

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.1.0
1.0.5.0

See release notes for this release on GitHub: https://github.com/tamaskis/IVP_Solver_Toolbox-MATLAB/releases/tag/v1.0.5
1.0.4

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.0.4
1.0.3

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.0.3
1.0.2

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.0.2
1.0.1

See release notes for this release on GitHub: https://github.com/tamaskis/ODE_Solver_Toolbox-MATLAB/releases/tag/v1.0.1
1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.