December 11, 2024Open Access

Method for solving mixed boundary value problems for parabolic type equations by using modifications Lagrange-Sturm-Liouville operators

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The proposed method constructs solutions using Lagrange-Sturm-Liouville operators for mixed boundary conditions.
It shows that solutions converge uniformly across any compact set in the domain of definition.
The approach utilizes arbitrary continuous functions and does not require them to satisfy boundary conditions.
A systematic way to determine coefficients is introduced, enhancing the efficiency of the solution process.

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A new method solves mixed boundary value problems for parabolic type equations, suggesting efficient coefficient calculations.

A. Yu. Trynin (2024) studied this question.

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