ode23 — Solve nonstiff ordinary differential equations with an adaptive Bogacki-Shampine 3(2) method.
ode23 integrates first-order ODE systems y' = f(t, y) using adaptive low-order Runge-Kutta stepping. For two outputs, it returns [t, y] where each row of y corresponds to one time in t.
How ode23 works
- Supports scalar, vector, and matrix-valued initial conditions.
- Accepts options as a struct, including
RelTol,AbsTol,InitialStep, andMaxStep. - When
tspanhas more than two points, the solver returns values at each requested time. - With one output, returns only the
ytrajectory matrix.
Example
Integrate a scalar ODE at requested output times
[t, y] = ode23(@(t, y) -2*y, [0 0.25 0.5 1.0], 1)Expected output:
size(t) = [4, 1], size(y) = [4, 1]Related Math functions
Elementwise
abs · angle · conj · double · exp · expm1 · factorial · gamma · hypot · imag · ldivide · log · log10 · log1p · log2 · minus · nextpow2 · plus · pow2 · power · rdivide · real · sign · single · sqrt · times
Trigonometry
acos · acosh · asin · asinh · atan · atan2 · atanh · cos · cosh · sin · sinh · tan · tanh
Reduction
all · any · cummax · cummin · cumprod · cumsum · cumtrapz · diff · gradient · max · mean · median · min · nnz · prod · std · sum · trapz · var
Structure
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how ode23 works, line by line, in Rust.
- View ode23.rs on GitHub
- Learn how the runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
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