A Numerical Solution of One Dimensional Heat Equation Using Cubic B-spline Basis Functions
نویسنده
چکیده
In this paper one dimensional heat equation is solved using Galerkin B-spline Finite Element. Solution is obtained by reducing the initial boundary value problem to the set of Ordinary differential equations. Discretization of the spatial domain is made using cubic B-spline functions as basis functions. The numerical results obtained from the two test problems are compared with the analytical solution available in the literature. Observations give a good agreement between the exact solution and the numerical solution obtained from the proposed technique.
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