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Showing 1 to 3 of 3 for “"Symmetry method"”.
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A study of certain multi-dimensional partial differential equations using Lie symmetry analysis
… are obtained for such equations using various methods. The multi-dimensional partial differential equations that are investigated in this thesis are (2+ 1) and (3+ 1 )-dimensional Boussinesq equations, a generalized (3+ 1 )dimensional Kawahara equation, a (3 + 1)-dimensional KP-Boussinesq …
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Approximate Similarity Reduction
… is investigated via the approximate homotopy symmetry method and approximate homotopy direct method. The approximate homotopy symmetry and homotopy similarity reduction equations of different orders are derived and the corresponding homotopy series reduction solutionsare obtained. As a result, …
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Similarity Solutions for the Two-Dimensional Diffusion–Advection Equation in Sharp-Corner Geometries
… profiles near sharp corners. The Lie symmetry method is applied to the 2D diffusion-advection equation to obtain a similarity ansatz, reducing the equation to a time-independent second-order PDE. By modifying the ansatz, the problem can be recast as an eigenvalue problem. Exploiting …