Solution to a Two-Dimensional Nonlinear Parabolic Heat Equation Subject to a Boundary Condition Specified on a Moving Manifold - Kazakov, A. L.; Nefedova, O. A.; Spevak, L. F. (Computational mathematics and mathematical physics, 2024)
Keywords: Algorithms; Approximation; Boundary conditions; Collocation methods; Computational Mathematics and Numerical Analysis; Convergence; Exact solutions; Existence theorems; Hodographs; Mathematics; Mathematics and Statistics; Nonlinearity; Numerical analysis; Partial Differential Equations; Spatial analysis; Thermodynamics; Topological manifolds; Two dimensional analysis; Uniqueness theorems; numerical solution; collocation method; degeneracy; boundary element method; exact solution; nonlinear parabolic heat conduction equation; existence and uniqueness theorem; radial basis functions