This Work Estimates Error For the Numerical Solution of the Diffusion Equation Using the Finite
Difference Method. to Find the Numerical Approximation of the Diffusion Equation, the Explicit Centred
Difference Scheme Is Explained. the Numerical Scheme Is Used to Carry Out the Numerical Features Of
Error Estimation. We Present the Variable Separation Method to Obtain an Analytic Solution. We Create A
Computer Programme In Scientific Programming Language to Implement the Finite Difference Method. For
Comparison, an Example Is Used Numerical Results Are Then Compared to Analytical Solutions.