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App - numerical solution of Cauchy problems for ordinary differential equations
Ordinary differential equations Solver Android application (Java) for numerical solution of Cauchy problems for ordinary differential equations and systems of up to 9 equations. ## Opportunities - Enter equations as text: `y' = x + y`, or a system one per line (`y1' = y2`, `y2' = -y1`). Higher order equations → system. - Own expression parser: `+ - * / ^`, implicit multiplication (`2x`, `3(x+1)`), `pi`, `e`, sin/cos/tan/exp/ln/sqrt/abs/min/max/… The fields accept expressions (`2*pi`). - 8 methods: Oiler, Hyun, middle point, RK4, Adams–Bashfort–Moulten 4, adaptive Dormand–Prince 5(4), implicit Euler and trapezoidal method (Newton + numerical Jacobian). - Discovery of divergence (NaN/∞), step size too small, failed Newton. - Comparison with exact solution: maximum error, end error, column in the table, dotted line in the graph. - Scale/shift graph, yi–yj phase plane for systems. - Table of values and CSV export (sharing via FileProvider). - 13 built-in examples (growth, cooling, oscillators, pendulum, Van der Pol, Lotka–Volterra, Lorentz, rigid equation, explosion of the solution, resonance). - Languages in the application: English (default), Bulgarian, Deutsch, Français, Español.