How to substitute the value in symbolic function?

1 vue (au cours des 30 derniers jours)
Fasha Reena
Fasha Reena le 24 Avr 2020
Commenté : KSSV le 24 Avr 2020
I have a problem with MATLAB coding. I'm trying to find the solution for the fractional-order equation. I already found for c0 until c3. Then I find sum of series as follow, and m=0,1,...,4. The problem is I dont know how to substitute the value in symbolic function and the command window shows 'Inputs must be a scalar and a square matrix' . I dont really understand what it's mean. Why this happened? And how to fix my code? I hope someone can help me.
% c(x,t) is the concentration of GBM tumour cells
clear;
syms x t D n h q
% Parameters to define the diffusion equation and the range in space and
% time
a = 1; % Step size for time
b = 0.5; % Step size for place
t = 0:a:1500; % Time points
N = length(t); % Length of time points
r = 0:b:50; % Place points
R = length(r); % Length of place points
% Parameters needed to solve the equation
p = 0.012; % Proliferation rate (per day)
x0 = 25; % The middle of considered interval (mm)
epsilon = 0.01; % suggest by Ozugurlu
cmax = 62.5; % Carrying capacity of GBM tumour cells
alpha = 1.0; % Fractional derivative order
q = 1/n;
M = input('Enter length of series (M) =');
sum_c1 = 0;
% Initial concentration
c(1) = (1/((sqrt(2*pi()))*epsilon))*exp((-1/2)*(((x-x0)/epsilon)^2)); % c0
c(2) = (D/((sqrt(2*pi()))*(epsilon^3))-(D*((x0-x)^2))/((sqrt(2*pi()))*(epsilon^5))-p/((sqrt(2*pi()))*epsilon))*(h*((t^alpha)/(gamma(alpha+1))))*(exp((-1/2)*(((x-x0)/epsilon)^2)))+((h*p*(t^alpha))/(cmax*2*pi()*(epsilon^2)*(gamma(alpha+1))))*exp(-1*(((x-x0)/epsilon)^2)); % c1
for m=2:M
derivative = diff(c(m),x,2);
c(m+1) = (n+h)*c(m)-(h*(t^alpha)/(gamma(alpha+1)))*(D*derivative+p*c(m)-(p/cmax)*((c(m))^2))
c1(m+1) = c(m+1)*(q^m)
end
sum_c1 = sum_c1+c1(m+1)
cn = c(1)+c(2)*q+sum_c1
for j=1:N
t(j+1) = t(j)+a;
for i=1:R
x(i+1) = x(i)+b;
if i<=16
D(i+1) = 0.13;
elseif 16<=i && i<=86
D(i+1) = 0.65;
else
D(i+1) = 0.13;
end
end
cn(i+1,j+1) = cn;
subs(cn,{x,t,D,n,h},{x(i+1),t(j+1),D(i+1),1,-1});
double(subs(cn,{x,t,D,n,h,q},{x(i+1),t(j+1),D(i+1),1,-1}));
end

Réponses (0)

Catégories

En savoir plus sur Mathematics dans Help Center et File Exchange

Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by