Please explain how to solve coupled equation in MATLAB? ODE 45 or Runge kutta method? The equation is d/dz(Ep) + (n/c) d/dt (Ep) = Es M where n= 1.45 and C = 3e8

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Kiran Nadeem
Kiran Nadeem 2022-9-2
编辑： Torsten 2022-9-2
%Non Linear ODE equation
clc;
clear all;
%code is incomplete, i was trying to explore but couldnt figure it out properly
c=3e8;
A= 86;
n= 1.45;
g= 1.92e-11;
i= 1;
M= i.* g .* A ;
V= n/ c;
syms z t;
f = @(z,t) ;

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回答（1 个）

Torsten
Torsten 2022-9-2
编辑：Torsten 2022-9-2
The equation you posted is a PDE, not an ODE. So an ODE integrator cannot be used directly for its solution.
You will have to discretize the equation in the z-coordinate and solve the resulting system of ordinary differential equations using ODE15S. Look up "method-of-lines" and "upwind scheme" for more information.
If all variables except E_p and your boundary condition at z=0 are constant, the equation can be solved analytically.

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