managing memory in C, 2D float array

I'm very inexperienced with C and have to use it for a piece of coursework exploring heat transfer.

I'm getting all sorts of errors with the (0xC0000005) return code. I'm aware that this is an attempt to access memory out of bounds and that I'm probably failing to allocate memory properly somewhere but I haven't been able to figure it out.

Any idea what needs changing?

#include <stdio.h>
#include <stdlib.h>
#include <math.h>


int main(){

    /* constant alpha squared, the area of the domain */
    const float alphSqrd     = 0.01;
    const float deltX, deltY = 0.0002;
    const float timeStep     = 0.0000009;
    const int   maxTimeSteps = 1000;

    int h, i, j;

    /* 2D Array of Temperature Values */
    float T [500][500];

    float dTdt;

    /* initialise temperature values */
    printf("Initialising 2D array...\n");

    for (i=0; i<500; i++){
        for (j=0; j<500; j++){
            if (150<=i && i<350 && 150<=j && j<350){
                T[i][j] = 50;
            } else {
                T[i][j] = 20;
            }
        }
    }

    printf("Updating values...\n");

    for (h=0; h<maxTimeSteps; h++){
        for (i=0; i<500; i++){
            for (j=0; j<500; j++){
                dTdt = alphSqrd*(((T[i+1][j]-2*T[i][j]+T[i-1][j])/(deltX*deltX))+((T[i][j+1]-2*T[i][j]+T[i][j-1])/(deltY*deltY)));
                T[i][j] = T[i][j] + dTdt * timeStep;
                printf("%f ",T[i][j]);
            }
            printf("\n");
        }
    }

    return 0;
}

During your dTdt calculation you are using T[i-1][j] and T[i-1][j]. If i is maximal (0 or 500) this exceeds the array limits. The same holds for j. Thus, you use uninitialised memory. You need to loop form 1 to 499 and treat the boundary differently depending on the problem you are trying to solve.