How to represent this equation in matlab Equation: X(i, j) = aX(i, j − 1) + bX(i − 1, j − 1) + cX(i − 1, j)

How to represent this equation in matlab Equation: X(i, j) = aX(i, j − 1) + bX(i − 1, j − 1) + cX(i − 1, j)

Answer 1

[Torsten]

Your question is unclear for me.

Are you in search of a closed-form solution for the above linear 2d-recurrence relation ?

Best wishes

Torsten.

[cicila madassery]

I have to take values of i and j from 0 to 100

[cicila madassery]

This equation is for representing the current pixel with respect to its neighbours.

Answer 2

[Torsten]

% Allocate X-Array

X=zeros(101,101);

% Set boundary values at lower and left edge for X

X(1,1:101)=1;

X(1:101,1)=1;

% Set Parameters

a=1;

b=0.5;

c=0.25;

% Calculate field values

For jj=2:101

For ii=2:101

X(ii,jj)=a*X(ii,jj-1)+b*X(ii-1,jj-1)+c*X(ii-1,j);

end

end

I started from 1 instead of 0 and thus went through until 101 instead of 100.

Best wishes

Torsten.

Answer 3

[cicila madassery]

The code is showing the following error

Illegal use of reserved keyword "end".

[Torsten]

I think it will work if you replace "For" by "for" in the program.

Best wishes

Torsten.