A high accuracy variant of the iterative alternating decomposition explicit method for solving the heat equation

• Main Authors: Sahimi M.S., Mansor N.A., Nor N.M., Nusi N.M., #Not Available# N., Alias
• Other Authors: 35561342900
• Format: Article
• Published: 2023
• Subjects: alternating direction implicit (ADI) method; fractional splitting; iterative alternating decomposition explicit (IADE) method

We consider three level difference replacements of parabolic equations focusing on the heat equation in two space dimensions. Through a judicious splitting of the approximation, the scheme qualifies as an alternating direction implicit (ADI) method. Using the well known fact of the parabolic-ellipti...