Basic algorithm:

1. Get from the user the names of the input and output files.
2. Read from the input file the initial temps for top, right, bottom, and left sides of plate.
3. Read from the input file the tolerance for equilibrium.
4. Initialize the edges of the 2D grid with initial temps you got from the input file, and initialize the inner cells of the grid to 0.0.
5. Continue updating temperature values within inner cells until equilibrium is reached.
6. Output to the output file the values of the inner cells of the grid after equilibrium obtained.

Step 5 details

• When updating the grid's temperatures always start at the top, left inner cell and update that row before updating the row below it. So, the first cell to be updated will be grid[1][1], then grid[1][2], and so on.
• Never change an edge cell's temperature.
• A cell's new temperature will always be the average of the 4 cells adjacent to it, the cells immediately above, below, left, and right of the cell.
• You should update all inner cells of the entire grid, while always keeping track of the largest difference between the old value and the new calculated value for a cell. Once you have completely updated the grid, if your max difference is within the tolerance level, equilibrium has been reached. You are done. Go ahead and output the temperatures in each cell of your grid. If not, you need to update the entire grid again.
• You are required to use 2D arrays, NOT vectors, for this assignment.
• The grid dimensions will always be the same as the grid example above (6 X 8).

Input/Output File Specifications

Input and output file names come from the user. Ask for input file first.

Input File

The input file will have the 4 starting temps on one line, each separated by a space and the tolerance on the second line.

29 45 0 15

0.5

Output File

When completed, the output file should list the temperatures of the inner cells only:

20.6404 22.6151 23.944 25.7453 28.7711 34.1826

16.4471 17.5668 19.1289 21.8528 26.5254 34.0902

13.1644 12.8385 13.9106 16.6151 21.7503 30.7639

8.81194 7.2602 7.58734 9.35255 13.3295 22.2734

my code is giving me the wrong output and I don't know why, i keep getting 4.63652e+265 5.46709e+265 4.34022e+265 2.86671e+265 1.64628e+265 7.34833e+264 1.3079e+266 1.28916e+266 9.02707e+265 5.48035e+265 2.98356e+265 1.29305e+265 3.47878e+266 2.39934e+266 1.33961e+266 7.04404e+265 3.51457e+265 1.45382e+265 1.02079e+267 3.4898e+266 1.35198e+266 5.78518e+265 2.57685e+265 1.00767e+265 

here is my code:

#include  //input that reads data #include  //need for files #include  //dynamic memory managemen #include  //for setprecision #include  #include  using namespace std; void initMatrix(double plate[6][8], //IN - structuring Numbers from the grid  double &top, //IN - Numbers from the top of grid  double &right, //IN - Numbers from the right of grid  double &bottom, //IN - Numbers from the bottom of grid  double &left); //IN - Numbers from the left of grid double updateGrid(double grid[6][8]); //IN - updated numbers from files int main(){  //somewhat like a mini diagram  double table[6][8]; //CAL - The grid length and height  table[6][8] = {0};  double top; //CAL - top of the grid  top = 0.0;  double right; //CAL - right of the grid  right = 0.0;  double left; //CAL - left of the grid  left = 0.0;  double bottom; //CAL - Bottom of the grid  bottom = 0.0;  double tolerance; //CAL - Tha amount a value can change  tolerance = 0.0;  ifstream inputfile; //CAL - open files  ofstream oufile; //CAL - open files  string infile; //IN & CAL - first string to open files  infile = "";  string outfile; //IN & CAL - second string to open files  outfile ="";  //user enter input file name  cout << "Enter input file name: ";  cin >> infile;  cout << endl;  //prompt user to enter the output file name  cout << " Enter output file name: ";  cin >> outfile;  cout << endl;  cout << endl;  //define input file path  inputfile.open(infile);  if (!inputfile.is_open()) {  cout << "Could not open file " << infile << endl;  return 0;  }  //define output file path  oufile.open(outfile);  if(!oufile.is_open()){  cout << "Could not open file " << outfile << endl;  return 0;  }  //gaining the numbers from the file  inputfile >> top;  inputfile >> right;  inputfile >> bottom;  inputfile >> left;  inputfile >> tolerance;  //initialize the grid matrix  initMatrix(table,top,right,bottom,left);  double variable; //CAL - hold number and compare  do{  variable = updateGrid(table);  } while(variable > tolerance);  for(int i = 1; i < 5; i++){  for(int j = 1; j < 7; j++){  cout << table[i][j] << " ";  }  cout << endl;  } return 0; } void initMatrix(double plate[6][8], //IN - structuring Numbers from the grid  double&top, //IN - Numbers from the top of grid  double&right, //IN - Numbers from the right of grid  double&bottom, //IN - Numbers from the bottom of grid  double&left){ //IN - Numbers from the left of grid  for(int top1 = 0; top1 < 8; top1++){  plate[0][top1] = top;  }  for(int right1 = 1; right1 < 5; right1++){  plate[right1][7] = right;  }  for(int bottom1 = 5; bottom1 < 8; bottom1++){  plate[5][bottom1] = bottom;  }  for(int left1 = 1; left1 < 5; left1++){  plate[left1][0] = left;  } } double updateGrid(double grid[6][8]){ //IN - updated numbers  double initial;  initial = 0;  double different;  different = 0;  double maxDifference;  maxDifference = 0;  for(int i = 1; i < 5; i++){  for(int j = 1; j < 7; j++){  initial = grid[i][j];  grid[i][j] = ((grid[i-1][j] + grid[i][j-1] + grid[i][j+1] +  grid[i+1][j])/4);  different = fabs(grid[i][j] - initial);  if(different > maxDifference){  maxDifference = different;  }  }  }  return maxDifference; }