TENTANG KERNEL BAHANG PADA TORUS; ON THE HEAT KERNEL ON TORUS

PRABOWO, YUSUF DYAN, M. Farchani Rosyid

2015 | Skripsi | FMIPA

Solutions of heat equation on Riemannian manifold have been analyzed. It was known that solution of heat equation can be calculated via integration using information provided by heat kernel, initial condition, source of heat, and boundary condition. It has been understood that heat kernel of manifolds which is generated by product of other manifolds can be calculated using heat kernels of its constituents. It has been calculated, the heat kernel of Riemann manifold, i.e., torus using geometric and estimate method. Numerical simulation has been done for visualizing heat distribution over the surface of torus.

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