Numerical Solution of Heat Equation using Modified Cubic B-spline Collocation Method
Mudassar Iqbal,
Nooraini Zainuddin,
Hanita Daud
et al.
Abstract:In this paper, a collocation method is presented based on the Modified Cubic B-spline Method (MCBSM) for the numerical solution of the heat equation. The PDE is fully discretized by using the Modified Cubic B-spline basis collocation for spatial discretization and the finite difference method is used for the time discretization. A numerical example from PDE is used to evaluate the accuracy of the proposed method. The numerical results are evaluated in comparison to the exact solutions. The findings consistentl… Show more
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