Analytical and Numerical Investigation of Two-Dimensional Heat Transfer with Periodic Boundary Conditions
İrem Bağlan,
Erman Aslan
Abstract:A two-dimensional heat diffusion problem with a heat source that is a quasilinear parabolic problem is examined analytically and numerically. Periodic boundary conditions are employed. As the problem is nonlinear, Picard’s successive approximation theorem is utilized. We demonstrate the existence, uniqueness, and constant dependence of the solution on the data using the generalized Fourier method under specific conditions of natural regularity and consistency imposed on the input data. For the numerical soluti… Show more
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