IVP Solver Toolbox

Collection of fixed-step IVP solvers, functions to generate IVP solver equations, and functions for transforming matrix IVPs to vector IVPs.

IVP Solver Toolbox

Collection of fixed-step IVP solvers, functions to generate IVP solver equations, and functions for transforming matrix IVPs to vector IVPs.

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,C},y0,h)
[t,y] = solve_ivp(__,method)
[t,y] = solve_ivp(__,method,wb)

Tools for Matrix-Valued IVPs

ivpIC_mat2vec
ivpsol_vec2mat
odefun_mat2vec

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