README.md

IVP Solver Toolbox

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