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For the solution of partial differential equations, particularly the two-micron heating equation, the use of the ADI method is highly recommended. This is a numerical method that is used to solve partial differential equations in two or more dimensions. It involves the splitting of the original equation into smaller, more manageable sub-problems that can be solved independently. By doing this, the complexity of the equation is reduced, making it easier to solve. The ADI method has been shown to be effective in a wide range of applications, including heat transfer, fluid dynamics, and quantum mechanics, among others.